GCD of 972, 383, 782, 109 Calculator

Given Input numbers are 972, 383, 782, 109

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 383 :

The positive integer divisors of 383 that completely divides 383 are.

1, 383

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (972, 383, 782, 109) = 1.

Given numbers are 972, 383, 782, 109

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 383 are 383

Prime factors of 782 are 2 x 17 x 23

Prime factors of 109 are 109

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

Given numbers are 972, 383, 782, 109

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

Apply this formula for all numbers.

Step1:

LCM(972, 383) = 372276

GCD(972, 383) = ( 972 x 383 ) / 372276

= 972 / 383

= 972

Step2:

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

= 1 / 782

= 1

Step3:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

So, Greatest Common Divisor of 972, 383, 782, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 367, 745, 670, 835
• GCD of 284, 930, 664, 806
• GCD of 622, 925, 146, 743
• GCD of 757, 400, 603, 799
• GCD of 699, 363, 766, 928

Given numbers are 972, 383, 782, 109
The greatest common divisor of numbers 972, 383, 782, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 383, 782, 109 is 1.

1. What is the GCD of 972, 383, 782, 109?

GCD of given numbers 972, 383, 782, 109 is 1

2. How to calculate the greatest common divisor of 972, 383, 782, 109?

We can find the highest common divisor of 972, 383, 782, 109 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, 383, 782, 109 i.e 1.

3. How can I use the GCD of 972, 383, 782, 109Calculator?

Out the numbers 972, 383, 782, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.