GCD of 980, 206, 176, 952 Calculator

Given Input numbers are 980, 206, 176, 952

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

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 176

List of positive integer divisors of 176 that divides 176 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Greatest Common Divisior

We found the divisors of 980, 206, 176, 952 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 980, 206, 176, 952 is 2.

Therefore, GCD of numbers 980, 206, 176, 952 is 2

Given Input Data is 980, 206, 176, 952

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

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 206 is 2 x 103

Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(980, 206) = 100940

GCD(980, 206) = ( 980 x 206 ) / 100940

GCD(980, 206) = 201880 / 100940

GCD(980, 206) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 176

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

LCM(2, 176) = 176

GCD(2, 176) = ( 2 x 176 ) / 176

GCD(2, 176) = 352 / 176

GCD(2, 176) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 952

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

LCM(2, 952) = 952

GCD(2, 952) = ( 2 x 952 ) / 952

GCD(2, 952) = 1904 / 952

GCD(2, 952) = 2

GCD of 980, 206, 176, 952 is 2

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1. What is the GCD of 980, 206, 176, 952?

GCD of 980, 206, 176, 952 is 2

2. Where do I get the detailed procedure to find GCD of 980, 206, 176, 952?

You can find a detailed procedure to find GCD of 980, 206, 176, 952 on our page.

3. How to find GCD of 980, 206, 176, 952 on a calculator?

You can find the GCD of 980, 206, 176, 952 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.