GCD of 158, 121, 175, 742 Calculator

Given Input numbers are 158, 121, 175, 742

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

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 158, 121, 175, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 158, 121, 175, 742 is 1.

Therefore, GCD of numbers 158, 121, 175, 742 is 1

Given Input Data is 158, 121, 175, 742

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

Prime Factorization of 158 is 2 x 79

Prime Factorization of 121 is 11 x 11

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 742 is 2 x 7 x 53

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(158, 121) = 19118

GCD(158, 121) = ( 158 x 121 ) / 19118

GCD(158, 121) = 19118 / 19118

GCD(158, 121) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 175

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

LCM(1, 175) = 175

GCD(1, 175) = ( 1 x 175 ) / 175

GCD(1, 175) = 175 / 175

GCD(1, 175) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

GCD of 158, 121, 175, 742 is 1

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1. What is the GCD of 158, 121, 175, 742?

GCD of 158, 121, 175, 742 is 1

2. Where do I get the detailed procedure to find GCD of 158, 121, 175, 742?

You can find a detailed procedure to find GCD of 158, 121, 175, 742 on our page.

3. How to find GCD of 158, 121, 175, 742 on a calculator?

You can find the GCD of 158, 121, 175, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.