GCD of 762, 678, 378, 979 Calculator

Given Input numbers are 762, 678, 378, 979

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

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 979

List of positive integer divisors of 979 that divides 979 without a remainder.

1, 11, 89, 979

Greatest Common Divisior

We found the divisors of 762, 678, 378, 979 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 678, 378, 979 is 1.

Therefore, GCD of numbers 762, 678, 378, 979 is 1

Given Input Data is 762, 678, 378, 979

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 979 is 11 x 89

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(762, 678) = 86106

GCD(762, 678) = ( 762 x 678 ) / 86106

GCD(762, 678) = 516636 / 86106

GCD(762, 678) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 378

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

LCM(6, 378) = 378

GCD(6, 378) = ( 6 x 378 ) / 378

GCD(6, 378) = 2268 / 378

GCD(6, 378) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 979

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

LCM(6, 979) = 5874

GCD(6, 979) = ( 6 x 979 ) / 5874

GCD(6, 979) = 5874 / 5874

GCD(6, 979) = 1

GCD of 762, 678, 378, 979 is 1

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1. What is the GCD of 762, 678, 378, 979?

GCD of 762, 678, 378, 979 is 1

2. Where do I get the detailed procedure to find GCD of 762, 678, 378, 979?

You can find a detailed procedure to find GCD of 762, 678, 378, 979 on our page.

3. How to find GCD of 762, 678, 378, 979 on a calculator?

You can find the GCD of 762, 678, 378, 979 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.