GCD of 142, 748, 55, 664 Calculator

Given Input numbers are 142, 748, 55, 664

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

Divisors of 142

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

1, 2, 71, 142

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 142, 748, 55, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 748, 55, 664 is 1.

Therefore, GCD of numbers 142, 748, 55, 664 is 1

Given Input Data is 142, 748, 55, 664

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 55 is 5 x 11

Prime Factorization of 664 is 2 x 2 x 2 x 83

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(142, 748) = 53108

GCD(142, 748) = ( 142 x 748 ) / 53108

GCD(142, 748) = 106216 / 53108

GCD(142, 748) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 55

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

LCM(2, 55) = 110

GCD(2, 55) = ( 2 x 55 ) / 110

GCD(2, 55) = 110 / 110

GCD(2, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

GCD of 142, 748, 55, 664 is 1

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1. What is the GCD of 142, 748, 55, 664?

GCD of 142, 748, 55, 664 is 1

2. Where do I get the detailed procedure to find GCD of 142, 748, 55, 664?

You can find a detailed procedure to find GCD of 142, 748, 55, 664 on our page.

3. How to find GCD of 142, 748, 55, 664 on a calculator?

You can find the GCD of 142, 748, 55, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.