GCD of 708, 722, 267, 878 Calculator

Given Input numbers are 708, 722, 267, 878

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

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

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 708, 722, 267, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 708, 722, 267, 878 is 1.

Therefore, GCD of numbers 708, 722, 267, 878 is 1

Given Input Data is 708, 722, 267, 878

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 267 is 3 x 89

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(708, 722) = 255588

GCD(708, 722) = ( 708 x 722 ) / 255588

GCD(708, 722) = 511176 / 255588

GCD(708, 722) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 267

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

LCM(2, 267) = 534

GCD(2, 267) = ( 2 x 267 ) / 534

GCD(2, 267) = 534 / 534

GCD(2, 267) = 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 708, 722, 267, 878 is 1

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1. What is the GCD of 708, 722, 267, 878?

GCD of 708, 722, 267, 878 is 1

2. Where do I get the detailed procedure to find GCD of 708, 722, 267, 878?

You can find a detailed procedure to find GCD of 708, 722, 267, 878 on our page.

3. How to find GCD of 708, 722, 267, 878 on a calculator?

You can find the GCD of 708, 722, 267, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.