GCD of 902, 646, 70, 509 Calculator

Given Input numbers are 902, 646, 70, 509

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

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 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

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 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 902, 646, 70, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 646, 70, 509 is 1.

Therefore, GCD of numbers 902, 646, 70, 509 is 1

Given Input Data is 902, 646, 70, 509

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

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 509 is 509

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(902, 646) = 291346

GCD(902, 646) = ( 902 x 646 ) / 291346

GCD(902, 646) = 582692 / 291346

GCD(902, 646) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 70

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

LCM(2, 70) = 70

GCD(2, 70) = ( 2 x 70 ) / 70

GCD(2, 70) = 140 / 70

GCD(2, 70) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 509

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

LCM(2, 509) = 1018

GCD(2, 509) = ( 2 x 509 ) / 1018

GCD(2, 509) = 1018 / 1018

GCD(2, 509) = 1

GCD of 902, 646, 70, 509 is 1

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• GCD of 586, 159, 20, 387
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1. What is the GCD of 902, 646, 70, 509?

GCD of 902, 646, 70, 509 is 1

2. Where do I get the detailed procedure to find GCD of 902, 646, 70, 509?

You can find a detailed procedure to find GCD of 902, 646, 70, 509 on our page.

3. How to find GCD of 902, 646, 70, 509 on a calculator?

You can find the GCD of 902, 646, 70, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.