GCD of 154, 975, 60, 279 Calculator

Given Input numbers are 154, 975, 60, 279

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 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Greatest Common Divisior

We found the divisors of 154, 975, 60, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 975, 60, 279 is 1.

Therefore, GCD of numbers 154, 975, 60, 279 is 1

Given Input Data is 154, 975, 60, 279

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 975 is 3 x 5 x 5 x 13

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 279 is 3 x 3 x 31

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, 975) = 150150

GCD(154, 975) = ( 154 x 975 ) / 150150

GCD(154, 975) = 150150 / 150150

GCD(154, 975) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 279

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

LCM(1, 279) = 279

GCD(1, 279) = ( 1 x 279 ) / 279

GCD(1, 279) = 279 / 279

GCD(1, 279) = 1

GCD of 154, 975, 60, 279 is 1

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• GCD of 869, 706, 22, 201
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1. What is the GCD of 154, 975, 60, 279?

GCD of 154, 975, 60, 279 is 1

2. Where do I get the detailed procedure to find GCD of 154, 975, 60, 279?

You can find a detailed procedure to find GCD of 154, 975, 60, 279 on our page.

3. How to find GCD of 154, 975, 60, 279 on a calculator?

You can find the GCD of 154, 975, 60, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.