GCD of 735, 620, 492, 970 Calculator

Given Input numbers are 735, 620, 492, 970

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

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Greatest Common Divisior

We found the divisors of 735, 620, 492, 970 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 620, 492, 970 is 1.

Therefore, GCD of numbers 735, 620, 492, 970 is 1

Given Input Data is 735, 620, 492, 970

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

Prime Factorization of 735 is 3 x 5 x 7 x 7

Prime Factorization of 620 is 2 x 2 x 5 x 31

Prime Factorization of 492 is 2 x 2 x 3 x 41

Prime Factorization of 970 is 2 x 5 x 97

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(735, 620) = 91140

GCD(735, 620) = ( 735 x 620 ) / 91140

GCD(735, 620) = 455700 / 91140

GCD(735, 620) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 492

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

LCM(5, 492) = 2460

GCD(5, 492) = ( 5 x 492 ) / 2460

GCD(5, 492) = 2460 / 2460

GCD(5, 492) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 970

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

LCM(1, 970) = 970

GCD(1, 970) = ( 1 x 970 ) / 970

GCD(1, 970) = 970 / 970

GCD(1, 970) = 1

GCD of 735, 620, 492, 970 is 1

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1. What is the GCD of 735, 620, 492, 970?

GCD of 735, 620, 492, 970 is 1

2. Where do I get the detailed procedure to find GCD of 735, 620, 492, 970?

You can find a detailed procedure to find GCD of 735, 620, 492, 970 on our page.

3. How to find GCD of 735, 620, 492, 970 on a calculator?

You can find the GCD of 735, 620, 492, 970 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.