GCD of 718, 762, 980, 487 Calculator

Given Input numbers are 718, 762, 980, 487

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

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Greatest Common Divisior

We found the divisors of 718, 762, 980, 487 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 718, 762, 980, 487 is 1.

Therefore, GCD of numbers 718, 762, 980, 487 is 1

Given Input Data is 718, 762, 980, 487

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

Prime Factorization of 718 is 2 x 359

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 487 is 487

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(718, 762) = 273558

GCD(718, 762) = ( 718 x 762 ) / 273558

GCD(718, 762) = 547116 / 273558

GCD(718, 762) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 980

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

LCM(2, 980) = 980

GCD(2, 980) = ( 2 x 980 ) / 980

GCD(2, 980) = 1960 / 980

GCD(2, 980) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 487

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

LCM(2, 487) = 974

GCD(2, 487) = ( 2 x 487 ) / 974

GCD(2, 487) = 974 / 974

GCD(2, 487) = 1

GCD of 718, 762, 980, 487 is 1

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1. What is the GCD of 718, 762, 980, 487?

GCD of 718, 762, 980, 487 is 1

2. Where do I get the detailed procedure to find GCD of 718, 762, 980, 487?

You can find a detailed procedure to find GCD of 718, 762, 980, 487 on our page.

3. How to find GCD of 718, 762, 980, 487 on a calculator?

You can find the GCD of 718, 762, 980, 487 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.