GCD of 948, 711, 456, 375 Calculator

Given Input numbers are 948, 711, 456, 375

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 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 375

List of positive integer divisors of 375 that divides 375 without a remainder.

1, 3, 5, 15, 25, 75, 125, 375

Greatest Common Divisior

We found the divisors of 948, 711, 456, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 711, 456, 375 is 3.

Therefore, GCD of numbers 948, 711, 456, 375 is 3

Given Input Data is 948, 711, 456, 375

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 711 is 3 x 3 x 79

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 375 is 3 x 5 x 5 x 5

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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, 711) = 2844

GCD(948, 711) = ( 948 x 711 ) / 2844

GCD(948, 711) = 674028 / 2844

GCD(948, 711) = 237

Step2:

Here we consider the GCD from the above i.e. 237 as first number and the next as 456

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

LCM(237, 456) = 36024

GCD(237, 456) = ( 237 x 456 ) / 36024

GCD(237, 456) = 108072 / 36024

GCD(237, 456) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 375

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

LCM(3, 375) = 375

GCD(3, 375) = ( 3 x 375 ) / 375

GCD(3, 375) = 1125 / 375

GCD(3, 375) = 3

GCD of 948, 711, 456, 375 is 3

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1. What is the GCD of 948, 711, 456, 375?

GCD of 948, 711, 456, 375 is 3

2. Where do I get the detailed procedure to find GCD of 948, 711, 456, 375?

You can find a detailed procedure to find GCD of 948, 711, 456, 375 on our page.

3. How to find GCD of 948, 711, 456, 375 on a calculator?

You can find the GCD of 948, 711, 456, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.