GCD of 457, 137, 700, 982 Calculator

Given Input numbers are 457, 137, 700, 982

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

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 982

List of positive integer divisors of 982 that divides 982 without a remainder.

1, 2, 491, 982

Greatest Common Divisior

We found the divisors of 457, 137, 700, 982 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 137, 700, 982 is 1.

Therefore, GCD of numbers 457, 137, 700, 982 is 1

Given Input Data is 457, 137, 700, 982

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

Prime Factorization of 457 is 457

Prime Factorization of 137 is 137

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 982 is 2 x 491

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(457, 137) = 62609

GCD(457, 137) = ( 457 x 137 ) / 62609

GCD(457, 137) = 62609 / 62609

GCD(457, 137) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 700

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

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

GCD(1, 700) = 700 / 700

GCD(1, 700) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 982

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

LCM(1, 982) = 982

GCD(1, 982) = ( 1 x 982 ) / 982

GCD(1, 982) = 982 / 982

GCD(1, 982) = 1

GCD of 457, 137, 700, 982 is 1

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1. What is the GCD of 457, 137, 700, 982?

GCD of 457, 137, 700, 982 is 1

2. Where do I get the detailed procedure to find GCD of 457, 137, 700, 982?

You can find a detailed procedure to find GCD of 457, 137, 700, 982 on our page.

3. How to find GCD of 457, 137, 700, 982 on a calculator?

You can find the GCD of 457, 137, 700, 982 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.