GCD of 107, 312, 672, 437 Calculator

Given Input numbers are 107, 312, 672, 437

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

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 437 :

The positive integer divisors of 437 that completely divides 437 are.

1, 19, 23, 437

GCD of numbers is the greatest common divisor

So, the GCD (107, 312, 672, 437) = 1.

Given numbers are 107, 312, 672, 437

The list of prime factors of all numbers are

Prime factors of 107 are 107

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 437 are 19 x 23

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

Given numbers are 107, 312, 672, 437

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

Apply this formula for all numbers.

Step1:

LCM(107, 312) = 33384

GCD(107, 312) = ( 107 x 312 ) / 33384

= 107 / 312

= 107

Step2:

LCM(1, 672) = 672

GCD(1, 672) = ( 1 x 672 ) / 672

= 1 / 672

= 1

Step3:

LCM(1, 437) = 437

GCD(1, 437) = ( 1 x 437 ) / 437

= 1 / 437

= 1

So, Greatest Common Divisor of 107, 312, 672, 437 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 447, 669, 825, 261
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• GCD of 526, 478, 216, 745

Given numbers are 107, 312, 672, 437
The greatest common divisor of numbers 107, 312, 672, 437 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 107, 312, 672, 437 is 1.

1. What is the GCD of 107, 312, 672, 437?

GCD of given numbers 107, 312, 672, 437 is 1

2. How to calculate the greatest common divisor of 107, 312, 672, 437?

We can find the highest common divisor of 107, 312, 672, 437 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 107, 312, 672, 437 i.e 1.

3. How can I use the GCD of 107, 312, 672, 437Calculator?

Out the numbers 107, 312, 672, 437 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.