GCD of 975, 707, 524, 480 Calculator

Given Input numbers are 975, 707, 524, 480

In the factoring method, we have to find the divisors of all numbers

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 707 :

The positive integer divisors of 707 that completely divides 707 are.

1, 7, 101, 707

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

GCD of numbers is the greatest common divisor

So, the GCD (975, 707, 524, 480) = 1.

Given numbers are 975, 707, 524, 480

The list of prime factors of all numbers are

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 707 are 7 x 101

Prime factors of 524 are 2 x 2 x 131

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 975, 707, 524, 480

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(975, 707) = 689325

GCD(975, 707) = ( 975 x 707 ) / 689325

= 975 / 707

= 975

Step2:

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

= 1 / 524

= 1

Step3:

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

= 1 / 480

= 1

So, Greatest Common Divisor of 975, 707, 524, 480 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 464, 362, 513, 934
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• GCD of 605, 334, 425, 628
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• GCD of 415, 644, 294, 500

Given numbers are 975, 707, 524, 480
The greatest common divisor of numbers 975, 707, 524, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 707, 524, 480 is 1.

1. What is the GCD of 975, 707, 524, 480?

GCD of given numbers 975, 707, 524, 480 is 1

2. How to calculate the greatest common divisor of 975, 707, 524, 480?

We can find the highest common divisor of 975, 707, 524, 480 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 975, 707, 524, 480 i.e 1.

3. How can I use the GCD of 975, 707, 524, 480Calculator?

Out the numbers 975, 707, 524, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.