GCD of 680, 164, 49, 968 Calculator

Given Input numbers are 680, 164, 49, 968

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

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Greatest Common Divisior

We found the divisors of 680, 164, 49, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 680, 164, 49, 968 is 1.

Therefore, GCD of numbers 680, 164, 49, 968 is 1

Given Input Data is 680, 164, 49, 968

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

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 49 is 7 x 7

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

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(680, 164) = 27880

GCD(680, 164) = ( 680 x 164 ) / 27880

GCD(680, 164) = 111520 / 27880

GCD(680, 164) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 49

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

LCM(4, 49) = 196

GCD(4, 49) = ( 4 x 49 ) / 196

GCD(4, 49) = 196 / 196

GCD(4, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 968

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

LCM(1, 968) = 968

GCD(1, 968) = ( 1 x 968 ) / 968

GCD(1, 968) = 968 / 968

GCD(1, 968) = 1

GCD of 680, 164, 49, 968 is 1

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• GCD of 556, 230, 78, 382
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• GCD of 382, 231, 56, 868
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• GCD of 787, 212, 46, 553

1. What is the GCD of 680, 164, 49, 968?

GCD of 680, 164, 49, 968 is 1

2. Where do I get the detailed procedure to find GCD of 680, 164, 49, 968?

You can find a detailed procedure to find GCD of 680, 164, 49, 968 on our page.

3. How to find GCD of 680, 164, 49, 968 on a calculator?

You can find the GCD of 680, 164, 49, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.