GCD of 972, 978, 360, 535 Calculator

Given Input numbers are 972, 978, 360, 535

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 978 :

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

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 535 :

The positive integer divisors of 535 that completely divides 535 are.

1, 5, 107, 535

GCD of numbers is the greatest common divisor

So, the GCD (972, 978, 360, 535) = 1.

Given numbers are 972, 978, 360, 535

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 978 are 2 x 3 x 163

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 535 are 5 x 107

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

Given numbers are 972, 978, 360, 535

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

Apply this formula for all numbers.

Step1:

LCM(972, 978) = 158436

GCD(972, 978) = ( 972 x 978 ) / 158436

= 972 / 978

= 972

Step2:

LCM(6, 360) = 360

GCD(6, 360) = ( 6 x 360 ) / 360

= 6 / 360

= 6

Step3:

LCM(6, 535) = 3210

GCD(6, 535) = ( 6 x 535 ) / 3210

= 6 / 535

= 6

So, Greatest Common Divisor of 972, 978, 360, 535 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 674, 528, 625, 181
• GCD of 144, 296, 974, 345
• GCD of 884, 837, 210, 671
• GCD of 156, 532, 230, 544
• GCD of 502, 254, 469, 110

Given numbers are 972, 978, 360, 535
The greatest common divisor of numbers 972, 978, 360, 535 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 978, 360, 535 is 1.

1. What is the GCD of 972, 978, 360, 535?

GCD of given numbers 972, 978, 360, 535 is 1

2. How to calculate the greatest common divisor of 972, 978, 360, 535?

We can find the highest common divisor of 972, 978, 360, 535 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, 978, 360, 535 i.e 1.

3. How can I use the GCD of 972, 978, 360, 535Calculator?

Out the numbers 972, 978, 360, 535 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.