GCD of 972, 181, 735, 225 Calculator

Given Input numbers are 972, 181, 735, 225

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 181 :

The positive integer divisors of 181 that completely divides 181 are.

1, 181

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

GCD of numbers is the greatest common divisor

So, the GCD (972, 181, 735, 225) = 1.

Given numbers are 972, 181, 735, 225

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 181 are 181

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 225 are 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, 181, 735, 225

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

Apply this formula for all numbers.

Step1:

LCM(972, 181) = 175932

GCD(972, 181) = ( 972 x 181 ) / 175932

= 972 / 181

= 972

Step2:

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

= 1 / 735

= 1

Step3:

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

= 1 / 225

= 1

So, Greatest Common Divisor of 972, 181, 735, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 964, 849, 694, 494
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• GCD of 904, 386, 672, 930
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Given numbers are 972, 181, 735, 225
The greatest common divisor of numbers 972, 181, 735, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 972, 181, 735, 225 is 1.

1. What is the GCD of 972, 181, 735, 225?

GCD of given numbers 972, 181, 735, 225 is 1

2. How to calculate the greatest common divisor of 972, 181, 735, 225?

We can find the highest common divisor of 972, 181, 735, 225 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, 181, 735, 225 i.e 1.

3. How can I use the GCD of 972, 181, 735, 225Calculator?

Out the numbers 972, 181, 735, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.