GCD of 157, 302, 766, 509 Calculator

Given Input numbers are 157, 302, 766, 509

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

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

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 157, 302, 766, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 157, 302, 766, 509 is 1.

Therefore, GCD of numbers 157, 302, 766, 509 is 1

Given Input Data is 157, 302, 766, 509

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

Prime Factorization of 157 is 157

Prime Factorization of 302 is 2 x 151

Prime Factorization of 766 is 2 x 383

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(157, 302) = 47414

GCD(157, 302) = ( 157 x 302 ) / 47414

GCD(157, 302) = 47414 / 47414

GCD(157, 302) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 766

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

LCM(1, 766) = 766

GCD(1, 766) = ( 1 x 766 ) / 766

GCD(1, 766) = 766 / 766

GCD(1, 766) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 509

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

LCM(1, 509) = 509

GCD(1, 509) = ( 1 x 509 ) / 509

GCD(1, 509) = 509 / 509

GCD(1, 509) = 1

GCD of 157, 302, 766, 509 is 1

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1. What is the GCD of 157, 302, 766, 509?

GCD of 157, 302, 766, 509 is 1

2. Where do I get the detailed procedure to find GCD of 157, 302, 766, 509?

You can find a detailed procedure to find GCD of 157, 302, 766, 509 on our page.

3. How to find GCD of 157, 302, 766, 509 on a calculator?

You can find the GCD of 157, 302, 766, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.