GCD of 665, 153, 507, 142 Calculator

Given Input numbers are 665, 153, 507, 142

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

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 665, 153, 507, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 665, 153, 507, 142 is 1.

Therefore, GCD of numbers 665, 153, 507, 142 is 1

Given Input Data is 665, 153, 507, 142

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

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 142 is 2 x 71

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(665, 153) = 101745

GCD(665, 153) = ( 665 x 153 ) / 101745

GCD(665, 153) = 101745 / 101745

GCD(665, 153) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 665, 153, 507, 142 is 1

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1. What is the GCD of 665, 153, 507, 142?

GCD of 665, 153, 507, 142 is 1

2. Where do I get the detailed procedure to find GCD of 665, 153, 507, 142?

You can find a detailed procedure to find GCD of 665, 153, 507, 142 on our page.

3. How to find GCD of 665, 153, 507, 142 on a calculator?

You can find the GCD of 665, 153, 507, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.