GCD of 376, 123, 651, 142 Calculator

Given Input numbers are 376, 123, 651, 142

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

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Divisors of 651

List of positive integer divisors of 651 that divides 651 without a remainder.

1, 3, 7, 21, 31, 93, 217, 651

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 376, 123, 651, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 376, 123, 651, 142 is 1.

Therefore, GCD of numbers 376, 123, 651, 142 is 1

Given Input Data is 376, 123, 651, 142

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

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 123 is 3 x 41

Prime Factorization of 651 is 3 x 7 x 31

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(376, 123) = 46248

GCD(376, 123) = ( 376 x 123 ) / 46248

GCD(376, 123) = 46248 / 46248

GCD(376, 123) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 651

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

LCM(1, 651) = 651

GCD(1, 651) = ( 1 x 651 ) / 651

GCD(1, 651) = 651 / 651

GCD(1, 651) = 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 376, 123, 651, 142 is 1

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1. What is the GCD of 376, 123, 651, 142?

GCD of 376, 123, 651, 142 is 1

2. Where do I get the detailed procedure to find GCD of 376, 123, 651, 142?

You can find a detailed procedure to find GCD of 376, 123, 651, 142 on our page.

3. How to find GCD of 376, 123, 651, 142 on a calculator?

You can find the GCD of 376, 123, 651, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.