GCD of 735, 972, 95, 753 Calculator

Given Input numbers are 735, 972, 95, 753

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

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

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Greatest Common Divisior

We found the divisors of 735, 972, 95, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 972, 95, 753 is 1.

Therefore, GCD of numbers 735, 972, 95, 753 is 1

Given Input Data is 735, 972, 95, 753

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 95 is 5 x 19

Prime Factorization of 753 is 3 x 251

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(735, 972) = 238140

GCD(735, 972) = ( 735 x 972 ) / 238140

GCD(735, 972) = 714420 / 238140

GCD(735, 972) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 95

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

LCM(3, 95) = 285

GCD(3, 95) = ( 3 x 95 ) / 285

GCD(3, 95) = 285 / 285

GCD(3, 95) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 753

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

LCM(1, 753) = 753

GCD(1, 753) = ( 1 x 753 ) / 753

GCD(1, 753) = 753 / 753

GCD(1, 753) = 1

GCD of 735, 972, 95, 753 is 1

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1. What is the GCD of 735, 972, 95, 753?

GCD of 735, 972, 95, 753 is 1

2. Where do I get the detailed procedure to find GCD of 735, 972, 95, 753?

You can find a detailed procedure to find GCD of 735, 972, 95, 753 on our page.

3. How to find GCD of 735, 972, 95, 753 on a calculator?

You can find the GCD of 735, 972, 95, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.