GCD of 747, 968, 877, 345 Calculator

Given Input numbers are 747, 968, 877, 345

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

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

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

Divisors of 877

List of positive integer divisors of 877 that divides 877 without a remainder.

1, 877

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Greatest Common Divisior

We found the divisors of 747, 968, 877, 345 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 968, 877, 345 is 1.

Therefore, GCD of numbers 747, 968, 877, 345 is 1

Given Input Data is 747, 968, 877, 345

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

Prime Factorization of 747 is 3 x 3 x 83

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

Prime Factorization of 877 is 877

Prime Factorization of 345 is 3 x 5 x 23

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(747, 968) = 723096

GCD(747, 968) = ( 747 x 968 ) / 723096

GCD(747, 968) = 723096 / 723096

GCD(747, 968) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 877

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

LCM(1, 877) = 877

GCD(1, 877) = ( 1 x 877 ) / 877

GCD(1, 877) = 877 / 877

GCD(1, 877) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 345

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

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

GCD(1, 345) = 345 / 345

GCD(1, 345) = 1

GCD of 747, 968, 877, 345 is 1

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1. What is the GCD of 747, 968, 877, 345?

GCD of 747, 968, 877, 345 is 1

2. Where do I get the detailed procedure to find GCD of 747, 968, 877, 345?

You can find a detailed procedure to find GCD of 747, 968, 877, 345 on our page.

3. How to find GCD of 747, 968, 877, 345 on a calculator?

You can find the GCD of 747, 968, 877, 345 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.