GCD of 972, 840, 107, 945 Calculator

Given Input numbers are 972, 840, 107, 945

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

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 107 :

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

1, 107

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

GCD of numbers is the greatest common divisor

So, the GCD (972, 840, 107, 945) = 1.

Given numbers are 972, 840, 107, 945

The list of prime factors of all numbers are

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 107 are 107

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

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

Given numbers are 972, 840, 107, 945

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

Apply this formula for all numbers.

Step1:

LCM(972, 840) = 68040

GCD(972, 840) = ( 972 x 840 ) / 68040

= 972 / 840

= 972

Step2:

LCM(12, 107) = 1284

GCD(12, 107) = ( 12 x 107 ) / 1284

= 12 / 107

= 12

Step3:

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

= 1 / 945

= 1

So, Greatest Common Divisor of 972, 840, 107, 945 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 764, 482, 323, 638
• GCD of 557, 559, 900, 385
• GCD of 134, 337, 122, 759
• GCD of 528, 934, 930, 500
• GCD of 264, 369, 153, 420

Given numbers are 972, 840, 107, 945
The greatest common divisor of numbers 972, 840, 107, 945 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 840, 107, 945 is 1.

1. What is the GCD of 972, 840, 107, 945?

GCD of given numbers 972, 840, 107, 945 is 1

2. How to calculate the greatest common divisor of 972, 840, 107, 945?

We can find the highest common divisor of 972, 840, 107, 945 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 972, 840, 107, 945 i.e 1.

3. How can I use the GCD of 972, 840, 107, 945Calculator?

Out the numbers 972, 840, 107, 945 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.