what_is_the_gcf_of_525_and_560

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You asked:

What is the largest natural number that evenly divides all of the integer 525 and the integer 560?

Facts
Show facts

Show reasoning
Reasoning

I followed this chain of reasoning:

By calculation (generator: ["now@trueknowledge.com"]) I know that:

The current time is April 17th 2014, 13:56:50

The current time is April 17th 2014, 13:56:50

By calculation (generator: ["first_parameter@trueknowledge.com"]) I know that:

525 is the first parameter of 525 and 560

525 is the first parameter of 525 and 560

By calculation (generator: ["pinstance@trueknowledge.com"]) I know that:

Fact 1: 525 is a integer

Fact 1: 525 is a integer

Fact 1
is true for
all time

By calculation (generator: ["second_parameter@trueknowledge.com"]) I know that:

560 is the second parameter of 525 and 560

560 is the second parameter of 525 and 560

By calculation (generator: ["pinstance@trueknowledge.com"]) I know that:

Fact 1: 560 is a integer

Fact 1: 560 is a integer

Fact 1
is true for
all time

By calculation (generator: ["prime_factors_no_repetition@trueknowledge.com"]) I know that:

3, 5, 5 and 7 is the prime factors with repetition of 525

3, 5, 5 and 7 is the prime factors with repetition of 525

3, 5 and 7
is the prime factors of
525

3 × 5 × 5 × 7
is the prime factorisation of
525

2, 2, 2, 2, 5 and 7
is the prime factors with repetition of
560

2, 5 and 7
is the prime factors of
560

2 × 2 × 2 × 2 × 5 × 7
is the prime factorisation of
560

By calculation (generator: ["product@trueknowledge.com"]) I know that:

8,400 is the product of 1, 2, 2, 2, 2, 3, 5, 5 and 7

8,400 is the product of 1, 2, 2, 2, 2, 3, 5, 5 and 7

35
is the product of
1, 5 and 7

By calculation (generator: ["hcf@trueknowledge.com"]) I know that:

Fact 3: 8,400 is the least common multiple of 525 and 560

Fact 3: 8,400 is the least common multiple of 525 and 560

Fact 3:
35
is the highest common factor of
525 and 560

By calculation (generator: ["perm5@trueknowledge.com"]) I know that:

Fact 3 is true for all time

Fact 3 is true for all time

By calculation (generator: ["timeperiodtopoint@trueknowledge.com"]) I know that:

Fact 3 is true at April 17th 2014, 13:56:50

Fact 3 is true at April 17th 2014, 13:56:50

I know from locally stored knowledge that:

permanent applies to is the highest common factor of ([fact: ["1099294778@trueknowledge.com"]])

permanent applies to is the highest common factor of ([fact: ["1099294778@trueknowledge.com"]])

I used the following facts to provide this answer:

'is the highest common factor of' is permanent

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