GCD of 254, 874, 956, 153 Calculator

Given Input numbers are 254, 874, 956, 153

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

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 254, 874, 956, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 874, 956, 153 is 1.

Therefore, GCD of numbers 254, 874, 956, 153 is 1

Given Input Data is 254, 874, 956, 153

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 153 is 3 x 3 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(254, 874) = 110998

GCD(254, 874) = ( 254 x 874 ) / 110998

GCD(254, 874) = 221996 / 110998

GCD(254, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 956

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

LCM(2, 956) = 956

GCD(2, 956) = ( 2 x 956 ) / 956

GCD(2, 956) = 1912 / 956

GCD(2, 956) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 153

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

LCM(2, 153) = 306

GCD(2, 153) = ( 2 x 153 ) / 306

GCD(2, 153) = 306 / 306

GCD(2, 153) = 1

GCD of 254, 874, 956, 153 is 1

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1. What is the GCD of 254, 874, 956, 153?

GCD of 254, 874, 956, 153 is 1

2. Where do I get the detailed procedure to find GCD of 254, 874, 956, 153?

You can find a detailed procedure to find GCD of 254, 874, 956, 153 on our page.

3. How to find GCD of 254, 874, 956, 153 on a calculator?

You can find the GCD of 254, 874, 956, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.