GCD of 972, 210, 110, 780 Calculator

Given Input numbers are 972, 210, 110, 780

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 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

GCD of numbers is the greatest common divisor

So, the GCD (972, 210, 110, 780) = 2.

Given numbers are 972, 210, 110, 780

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 210 are 2 x 3 x 5 x 7

Prime factors of 110 are 2 x 5 x 11

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 972, 210, 110, 780 is 2.

Given numbers are 972, 210, 110, 780

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

Apply this formula for all numbers.

Step1:

LCM(972, 210) = 34020

GCD(972, 210) = ( 972 x 210 ) / 34020

= 972 / 210

= 972

Step2:

LCM(6, 110) = 330

GCD(6, 110) = ( 6 x 110 ) / 330

= 6 / 110

= 6

Step3:

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

= 2 / 780

= 2

So, Greatest Common Divisor of 972, 210, 110, 780 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 740, 918, 314, 684
• GCD of 765, 503, 874, 472
• GCD of 780, 239, 130, 414
• GCD of 701, 419, 631, 202
• GCD of 884, 575, 371, 962

Given numbers are 972, 210, 110, 780
The greatest common divisor of numbers 972, 210, 110, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 210, 110, 780 is 2.

1. What is the GCD of 972, 210, 110, 780?

GCD of given numbers 972, 210, 110, 780 is 2

2. How to calculate the greatest common divisor of 972, 210, 110, 780?

We can find the highest common divisor of 972, 210, 110, 780 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, 210, 110, 780 i.e 2.

3. How can I use the GCD of 972, 210, 110, 780Calculator?

Out the numbers 972, 210, 110, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.