GCD of 154, 979, 154, 616 Calculator

Given Input numbers are 154, 979, 154, 616

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 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

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 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Greatest Common Divisior

We found the divisors of 154, 979, 154, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 979, 154, 616 is 11.

Therefore, GCD of numbers 154, 979, 154, 616 is 11

Given Input Data is 154, 979, 154, 616

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 979 is 11 x 89

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Highest common occurrences in the given inputs are 11¹

Multiplying them we get the GCD as 11

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, 979) = 13706

GCD(154, 979) = ( 154 x 979 ) / 13706

GCD(154, 979) = 150766 / 13706

GCD(154, 979) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 154

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

LCM(11, 154) = 154

GCD(11, 154) = ( 11 x 154 ) / 154

GCD(11, 154) = 1694 / 154

GCD(11, 154) = 11

Step3:

Here we consider the GCD from the above i.e. 11 as first number and the next as 616

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

LCM(11, 616) = 616

GCD(11, 616) = ( 11 x 616 ) / 616

GCD(11, 616) = 6776 / 616

GCD(11, 616) = 11

GCD of 154, 979, 154, 616 is 11

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1. What is the GCD of 154, 979, 154, 616?

GCD of 154, 979, 154, 616 is 11

2. Where do I get the detailed procedure to find GCD of 154, 979, 154, 616?

You can find a detailed procedure to find GCD of 154, 979, 154, 616 on our page.

3. How to find GCD of 154, 979, 154, 616 on a calculator?

You can find the GCD of 154, 979, 154, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.