GCD of 142, 668, 910, 632 Calculator

Given Input numbers are 142, 668, 910, 632

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 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Greatest Common Divisior

We found the divisors of 142, 668, 910, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 668, 910, 632 is 2.

Therefore, GCD of numbers 142, 668, 910, 632 is 2

Given Input Data is 142, 668, 910, 632

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 632 is 2 x 2 x 2 x 79

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 668) = 47428

GCD(142, 668) = ( 142 x 668 ) / 47428

GCD(142, 668) = 94856 / 47428

GCD(142, 668) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 910

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

LCM(2, 910) = 910

GCD(2, 910) = ( 2 x 910 ) / 910

GCD(2, 910) = 1820 / 910

GCD(2, 910) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 632

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

LCM(2, 632) = 632

GCD(2, 632) = ( 2 x 632 ) / 632

GCD(2, 632) = 1264 / 632

GCD(2, 632) = 2

GCD of 142, 668, 910, 632 is 2

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1. What is the GCD of 142, 668, 910, 632?

GCD of 142, 668, 910, 632 is 2

2. Where do I get the detailed procedure to find GCD of 142, 668, 910, 632?

You can find a detailed procedure to find GCD of 142, 668, 910, 632 on our page.

3. How to find GCD of 142, 668, 910, 632 on a calculator?

You can find the GCD of 142, 668, 910, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.