GCD of 972, 738, 978, 157 Calculator

Given Input numbers are 972, 738, 978, 157

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 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 157 :

The positive integer divisors of 157 that completely divides 157 are.

1, 157

GCD of numbers is the greatest common divisor

So, the GCD (972, 738, 978, 157) = 1.

Given numbers are 972, 738, 978, 157

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 738 are 2 x 3 x 3 x 41

Prime factors of 978 are 2 x 3 x 163

Prime factors of 157 are 157

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

Given numbers are 972, 738, 978, 157

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

Apply this formula for all numbers.

Step1:

LCM(972, 738) = 39852

GCD(972, 738) = ( 972 x 738 ) / 39852

= 972 / 738

= 972

Step2:

LCM(18, 978) = 2934

GCD(18, 978) = ( 18 x 978 ) / 2934

= 18 / 978

= 18

Step3:

LCM(6, 157) = 942

GCD(6, 157) = ( 6 x 157 ) / 942

= 6 / 157

= 6

So, Greatest Common Divisor of 972, 738, 978, 157 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 925, 486, 382, 312
• GCD of 208, 734, 745, 232
• GCD of 689, 749, 418, 649
• GCD of 105, 636, 476, 246
• GCD of 591, 733, 126, 951

Given numbers are 972, 738, 978, 157
The greatest common divisor of numbers 972, 738, 978, 157 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 738, 978, 157 is 1.

1. What is the GCD of 972, 738, 978, 157?

GCD of given numbers 972, 738, 978, 157 is 1

2. How to calculate the greatest common divisor of 972, 738, 978, 157?

We can find the highest common divisor of 972, 738, 978, 157 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, 738, 978, 157 i.e 1.

3. How can I use the GCD of 972, 738, 978, 157Calculator?

Out the numbers 972, 738, 978, 157 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.