GCD of 196, 980, 91, 364 Calculator

Given Input numbers are 196, 980, 91, 364

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

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

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 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 196, 980, 91, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 980, 91, 364 is 7.

Therefore, GCD of numbers 196, 980, 91, 364 is 7

Given Input Data is 196, 980, 91, 364

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

Prime Factorization of 196 is 2 x 2 x 7 x 7

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

Prime Factorization of 91 is 7 x 13

Prime Factorization of 364 is 2 x 2 x 7 x 13

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(196, 980) = 980

GCD(196, 980) = ( 196 x 980 ) / 980

GCD(196, 980) = 192080 / 980

GCD(196, 980) = 196

Step2:

Here we consider the GCD from the above i.e. 196 as first number and the next as 91

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

LCM(196, 91) = 2548

GCD(196, 91) = ( 196 x 91 ) / 2548

GCD(196, 91) = 17836 / 2548

GCD(196, 91) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 364

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

LCM(7, 364) = 364

GCD(7, 364) = ( 7 x 364 ) / 364

GCD(7, 364) = 2548 / 364

GCD(7, 364) = 7

GCD of 196, 980, 91, 364 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 985, 267, 61, 567
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• GCD of 922, 941, 82, 228
• GCD of 331, 452, 64, 988

1. What is the GCD of 196, 980, 91, 364?

GCD of 196, 980, 91, 364 is 7

2. Where do I get the detailed procedure to find GCD of 196, 980, 91, 364?

You can find a detailed procedure to find GCD of 196, 980, 91, 364 on our page.

3. How to find GCD of 196, 980, 91, 364 on a calculator?

You can find the GCD of 196, 980, 91, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.