GCD of 948, 620, 72, 254 Calculator

Given Input numbers are 948, 620, 72, 254

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 620

List of positive integer divisors of 620 that divides 620 without a remainder.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Greatest Common Divisior

We found the divisors of 948, 620, 72, 254 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 620, 72, 254 is 2.

Therefore, GCD of numbers 948, 620, 72, 254 is 2

Given Input Data is 948, 620, 72, 254

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 620 is 2 x 2 x 5 x 31

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 254 is 2 x 127

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(948, 620) = 146940

GCD(948, 620) = ( 948 x 620 ) / 146940

GCD(948, 620) = 587760 / 146940

GCD(948, 620) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 72

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

LCM(4, 72) = 72

GCD(4, 72) = ( 4 x 72 ) / 72

GCD(4, 72) = 288 / 72

GCD(4, 72) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 254

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

LCM(4, 254) = 508

GCD(4, 254) = ( 4 x 254 ) / 508

GCD(4, 254) = 1016 / 508

GCD(4, 254) = 2

GCD of 948, 620, 72, 254 is 2

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1. What is the GCD of 948, 620, 72, 254?

GCD of 948, 620, 72, 254 is 2

2. Where do I get the detailed procedure to find GCD of 948, 620, 72, 254?

You can find a detailed procedure to find GCD of 948, 620, 72, 254 on our page.

3. How to find GCD of 948, 620, 72, 254 on a calculator?

You can find the GCD of 948, 620, 72, 254 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.