GCD of 952, 624, 96, 680 Calculator

Given Input numbers are 952, 624, 96, 680

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

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 680

List of positive integer divisors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Greatest Common Divisior

We found the divisors of 952, 624, 96, 680 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 952, 624, 96, 680 is 8.

Therefore, GCD of numbers 952, 624, 96, 680 is 8

Given Input Data is 952, 624, 96, 680

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

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 680 is 2 x 2 x 2 x 5 x 17

Highest common occurrences in the given inputs are 2³

Multiplying them we get the GCD as 8

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(952, 624) = 74256

GCD(952, 624) = ( 952 x 624 ) / 74256

GCD(952, 624) = 594048 / 74256

GCD(952, 624) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 96

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

LCM(8, 96) = 96

GCD(8, 96) = ( 8 x 96 ) / 96

GCD(8, 96) = 768 / 96

GCD(8, 96) = 8

Step3:

Here we consider the GCD from the above i.e. 8 as first number and the next as 680

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

LCM(8, 680) = 680

GCD(8, 680) = ( 8 x 680 ) / 680

GCD(8, 680) = 5440 / 680

GCD(8, 680) = 8

GCD of 952, 624, 96, 680 is 8

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1. What is the GCD of 952, 624, 96, 680?

GCD of 952, 624, 96, 680 is 8

2. Where do I get the detailed procedure to find GCD of 952, 624, 96, 680?

You can find a detailed procedure to find GCD of 952, 624, 96, 680 on our page.

3. How to find GCD of 952, 624, 96, 680 on a calculator?

You can find the GCD of 952, 624, 96, 680 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.