GCD of 707, 680, 95, 916 Calculator

Given Input numbers are 707, 680, 95, 916

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

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

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 95

List of positive integer divisors of 95 that divides 95 without a remainder.

1, 5, 19, 95

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 707, 680, 95, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 680, 95, 916 is 1.

Therefore, GCD of numbers 707, 680, 95, 916 is 1

Given Input Data is 707, 680, 95, 916

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

Prime Factorization of 707 is 7 x 101

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

Prime Factorization of 95 is 5 x 19

Prime Factorization of 916 is 2 x 2 x 229

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(707, 680) = 480760

GCD(707, 680) = ( 707 x 680 ) / 480760

GCD(707, 680) = 480760 / 480760

GCD(707, 680) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 95

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

LCM(1, 95) = 95

GCD(1, 95) = ( 1 x 95 ) / 95

GCD(1, 95) = 95 / 95

GCD(1, 95) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

GCD of 707, 680, 95, 916 is 1

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1. What is the GCD of 707, 680, 95, 916?

GCD of 707, 680, 95, 916 is 1

2. Where do I get the detailed procedure to find GCD of 707, 680, 95, 916?

You can find a detailed procedure to find GCD of 707, 680, 95, 916 on our page.

3. How to find GCD of 707, 680, 95, 916 on a calculator?

You can find the GCD of 707, 680, 95, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.