GCD of 707, 577, 902, 978 Calculator

Given Input numbers are 707, 577, 902, 978

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

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

Greatest Common Divisior

We found the divisors of 707, 577, 902, 978 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 577, 902, 978 is 1.

Therefore, GCD of numbers 707, 577, 902, 978 is 1

Given Input Data is 707, 577, 902, 978

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

Prime Factorization of 707 is 7 x 101

Prime Factorization of 577 is 577

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 978 is 2 x 3 x 163

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(707, 577) = 407939

GCD(707, 577) = ( 707 x 577 ) / 407939

GCD(707, 577) = 407939 / 407939

GCD(707, 577) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 902

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

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

GCD(1, 902) = 902 / 902

GCD(1, 902) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 978

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

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

GCD(1, 978) = 978 / 978

GCD(1, 978) = 1

GCD of 707, 577, 902, 978 is 1

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1. What is the GCD of 707, 577, 902, 978?

GCD of 707, 577, 902, 978 is 1

2. Where do I get the detailed procedure to find GCD of 707, 577, 902, 978?

You can find a detailed procedure to find GCD of 707, 577, 902, 978 on our page.

3. How to find GCD of 707, 577, 902, 978 on a calculator?

You can find the GCD of 707, 577, 902, 978 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.