GCD of 948, 107, 376, 518 Calculator

Given Input numbers are 948, 107, 376, 518

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

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

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 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Greatest Common Divisior

We found the divisors of 948, 107, 376, 518 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 107, 376, 518 is 1.

Therefore, GCD of numbers 948, 107, 376, 518 is 1

Given Input Data is 948, 107, 376, 518

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

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 107 is 107

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

Prime Factorization of 518 is 2 x 7 x 37

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(948, 107) = 101436

GCD(948, 107) = ( 948 x 107 ) / 101436

GCD(948, 107) = 101436 / 101436

GCD(948, 107) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 376

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

LCM(1, 376) = 376

GCD(1, 376) = ( 1 x 376 ) / 376

GCD(1, 376) = 376 / 376

GCD(1, 376) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 518

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

LCM(1, 518) = 518

GCD(1, 518) = ( 1 x 518 ) / 518

GCD(1, 518) = 518 / 518

GCD(1, 518) = 1

GCD of 948, 107, 376, 518 is 1

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1. What is the GCD of 948, 107, 376, 518?

GCD of 948, 107, 376, 518 is 1

2. Where do I get the detailed procedure to find GCD of 948, 107, 376, 518?

You can find a detailed procedure to find GCD of 948, 107, 376, 518 on our page.

3. How to find GCD of 948, 107, 376, 518 on a calculator?

You can find the GCD of 948, 107, 376, 518 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.