GCD of 296, 719, 42, 977 Calculator

Given Input numbers are 296, 719, 42, 977

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

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Greatest Common Divisior

We found the divisors of 296, 719, 42, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 719, 42, 977 is 1.

Therefore, GCD of numbers 296, 719, 42, 977 is 1

Given Input Data is 296, 719, 42, 977

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

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 719 is 719

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 977 is 977

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(296, 719) = 212824

GCD(296, 719) = ( 296 x 719 ) / 212824

GCD(296, 719) = 212824 / 212824

GCD(296, 719) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 977

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

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

GCD(1, 977) = 977 / 977

GCD(1, 977) = 1

GCD of 296, 719, 42, 977 is 1

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1. What is the GCD of 296, 719, 42, 977?

GCD of 296, 719, 42, 977 is 1

2. Where do I get the detailed procedure to find GCD of 296, 719, 42, 977?

You can find a detailed procedure to find GCD of 296, 719, 42, 977 on our page.

3. How to find GCD of 296, 719, 42, 977 on a calculator?

You can find the GCD of 296, 719, 42, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.