GCD of 972, 109, 349, 164 Calculator

Given Input numbers are 972, 109, 349, 164

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 109 :

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

1, 109

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

GCD of numbers is the greatest common divisor

So, the GCD (972, 109, 349, 164) = 1.

Given numbers are 972, 109, 349, 164

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 109 are 109

Prime factors of 349 are 349

Prime factors of 164 are 2 x 2 x 41

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

Given numbers are 972, 109, 349, 164

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

Apply this formula for all numbers.

Step1:

LCM(972, 109) = 105948

GCD(972, 109) = ( 972 x 109 ) / 105948

= 972 / 109

= 972

Step2:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1

Step3:

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

= 1 / 164

= 1

So, Greatest Common Divisor of 972, 109, 349, 164 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 508, 595, 859, 422
• GCD of 407, 346, 846, 731
• GCD of 953, 714, 773, 217
• GCD of 397, 202, 899, 171
• GCD of 768, 653, 478, 805

Given numbers are 972, 109, 349, 164
The greatest common divisor of numbers 972, 109, 349, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 109, 349, 164 is 1.

1. What is the GCD of 972, 109, 349, 164?

GCD of given numbers 972, 109, 349, 164 is 1

2. How to calculate the greatest common divisor of 972, 109, 349, 164?

We can find the highest common divisor of 972, 109, 349, 164 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, 109, 349, 164 i.e 1.

3. How can I use the GCD of 972, 109, 349, 164Calculator?

Out the numbers 972, 109, 349, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.