GCD of 972, 270, 965, 900 Calculator

Given Input numbers are 972, 270, 965, 900

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 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (972, 270, 965, 900) = 1.

Given numbers are 972, 270, 965, 900

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 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 965 are 5 x 193

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

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

Given numbers are 972, 270, 965, 900

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

Apply this formula for all numbers.

Step1:

LCM(972, 270) = 4860

GCD(972, 270) = ( 972 x 270 ) / 4860

= 972 / 270

= 972

Step2:

LCM(54, 965) = 52110

GCD(54, 965) = ( 54 x 965 ) / 52110

= 54 / 965

= 54

Step3:

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

= 1 / 900

= 1

So, Greatest Common Divisor of 972, 270, 965, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 830, 284, 562, 123
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Given numbers are 972, 270, 965, 900
The greatest common divisor of numbers 972, 270, 965, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 270, 965, 900 is 1.

1. What is the GCD of 972, 270, 965, 900?

GCD of given numbers 972, 270, 965, 900 is 1

2. How to calculate the greatest common divisor of 972, 270, 965, 900?

We can find the highest common divisor of 972, 270, 965, 900 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, 270, 965, 900 i.e 1.

3. How can I use the GCD of 972, 270, 965, 900Calculator?

Out the numbers 972, 270, 965, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.