GCD of 735, 151, 88, 238 Calculator

Given Input numbers are 735, 151, 88, 238

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 151

List of positive integer divisors of 151 that divides 151 without a remainder.

1, 151

Divisors of 88

List of positive integer divisors of 88 that divides 88 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 735, 151, 88, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 151, 88, 238 is 1.

Therefore, GCD of numbers 735, 151, 88, 238 is 1

Given Input Data is 735, 151, 88, 238

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 151 is 151

Prime Factorization of 88 is 2 x 2 x 2 x 11

Prime Factorization of 238 is 2 x 7 x 17

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, 151) = 110985

GCD(735, 151) = ( 735 x 151 ) / 110985

GCD(735, 151) = 110985 / 110985

GCD(735, 151) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 88

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

LCM(1, 88) = 88

GCD(1, 88) = ( 1 x 88 ) / 88

GCD(1, 88) = 88 / 88

GCD(1, 88) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 238

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

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

GCD(1, 238) = 238 / 238

GCD(1, 238) = 1

GCD of 735, 151, 88, 238 is 1

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1. What is the GCD of 735, 151, 88, 238?

GCD of 735, 151, 88, 238 is 1

2. Where do I get the detailed procedure to find GCD of 735, 151, 88, 238?

You can find a detailed procedure to find GCD of 735, 151, 88, 238 on our page.

3. How to find GCD of 735, 151, 88, 238 on a calculator?

You can find the GCD of 735, 151, 88, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.