GCD of 70, 502, 972, 598 Calculator

Given Input numbers are 70, 502, 972, 598

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

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Greatest Common Divisior

We found the divisors of 70, 502, 972, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 502, 972, 598 is 2.

Therefore, GCD of numbers 70, 502, 972, 598 is 2

Given Input Data is 70, 502, 972, 598

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

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 502 is 2 x 251

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 598 is 2 x 13 x 23

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(70, 502) = 17570

GCD(70, 502) = ( 70 x 502 ) / 17570

GCD(70, 502) = 35140 / 17570

GCD(70, 502) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 972

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

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

GCD(2, 972) = 1944 / 972

GCD(2, 972) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 598

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

LCM(2, 598) = 598

GCD(2, 598) = ( 2 x 598 ) / 598

GCD(2, 598) = 1196 / 598

GCD(2, 598) = 2

GCD of 70, 502, 972, 598 is 2

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1. What is the GCD of 70, 502, 972, 598?

GCD of 70, 502, 972, 598 is 2

2. Where do I get the detailed procedure to find GCD of 70, 502, 972, 598?

You can find a detailed procedure to find GCD of 70, 502, 972, 598 on our page.

3. How to find GCD of 70, 502, 972, 598 on a calculator?

You can find the GCD of 70, 502, 972, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.