GCD of 967, 680, 754 Calculator

Given Input numbers are 967, 680, 754

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

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

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 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 967, 680, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 967, 680, 754 is 1.

Therefore, GCD of numbers 967, 680, 754 is 1

Given Input Data is 967, 680, 754

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

Prime Factorization of 967 is 967

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

Prime Factorization of 754 is 2 x 13 x 29

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(967, 680) = 657560

GCD(967, 680) = ( 967 x 680 ) / 657560

GCD(967, 680) = 657560 / 657560

GCD(967, 680) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 754

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

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

GCD(1, 754) = 754 / 754

GCD(1, 754) = 1

GCD of 967, 680, 754 is 1

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1. What is the GCD of 967, 680, 754?

GCD of 967, 680, 754 is 1

2. Where do I get the detailed procedure to find GCD of 967, 680, 754?

You can find a detailed procedure to find GCD of 967, 680, 754 on our page.

3. How to find GCD of 967, 680, 754 on a calculator?

You can find the GCD of 967, 680, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.