GCD of 456, 740, 763, 878 Calculator

Given Input numbers are 456, 740, 763, 878

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Greatest Common Divisior

We found the divisors of 456, 740, 763, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 740, 763, 878 is 1.

Therefore, GCD of numbers 456, 740, 763, 878 is 1

Given Input Data is 456, 740, 763, 878

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 763 is 7 x 109

Prime Factorization of 878 is 2 x 439

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(456, 740) = 84360

GCD(456, 740) = ( 456 x 740 ) / 84360

GCD(456, 740) = 337440 / 84360

GCD(456, 740) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 763

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

LCM(4, 763) = 3052

GCD(4, 763) = ( 4 x 763 ) / 3052

GCD(4, 763) = 3052 / 3052

GCD(4, 763) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 878

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

LCM(1, 878) = 878

GCD(1, 878) = ( 1 x 878 ) / 878

GCD(1, 878) = 878 / 878

GCD(1, 878) = 1

GCD of 456, 740, 763, 878 is 1

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1. What is the GCD of 456, 740, 763, 878?

GCD of 456, 740, 763, 878 is 1

2. Where do I get the detailed procedure to find GCD of 456, 740, 763, 878?

You can find a detailed procedure to find GCD of 456, 740, 763, 878 on our page.

3. How to find GCD of 456, 740, 763, 878 on a calculator?

You can find the GCD of 456, 740, 763, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.