GCD of 154, 972, 200, 735 Calculator

Given Input numbers are 154, 972, 200, 735

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

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

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 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

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

Greatest Common Divisior

We found the divisors of 154, 972, 200, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 972, 200, 735 is 1.

Therefore, GCD of numbers 154, 972, 200, 735 is 1

Given Input Data is 154, 972, 200, 735

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

Prime Factorization of 154 is 2 x 7 x 11

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

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

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

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(154, 972) = 74844

GCD(154, 972) = ( 154 x 972 ) / 74844

GCD(154, 972) = 149688 / 74844

GCD(154, 972) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 200

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

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

GCD(2, 200) = 400 / 200

GCD(2, 200) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 735

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

LCM(2, 735) = 1470

GCD(2, 735) = ( 2 x 735 ) / 1470

GCD(2, 735) = 1470 / 1470

GCD(2, 735) = 1

GCD of 154, 972, 200, 735 is 1

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1. What is the GCD of 154, 972, 200, 735?

GCD of 154, 972, 200, 735 is 1

2. Where do I get the detailed procedure to find GCD of 154, 972, 200, 735?

You can find a detailed procedure to find GCD of 154, 972, 200, 735 on our page.

3. How to find GCD of 154, 972, 200, 735 on a calculator?

You can find the GCD of 154, 972, 200, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.