GCD of 672, 124, 78, 800 Calculator

Given Input numbers are 672, 124, 78, 800

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

Divisors of 672

List of positive integer divisors of 672 that divides 672 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 124

List of positive integer divisors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Greatest Common Divisior

We found the divisors of 672, 124, 78, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 672, 124, 78, 800 is 2.

Therefore, GCD of numbers 672, 124, 78, 800 is 2

Given Input Data is 672, 124, 78, 800

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

Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime Factorization of 124 is 2 x 2 x 31

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

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(672, 124) = 20832

GCD(672, 124) = ( 672 x 124 ) / 20832

GCD(672, 124) = 83328 / 20832

GCD(672, 124) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 78

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

LCM(4, 78) = 156

GCD(4, 78) = ( 4 x 78 ) / 156

GCD(4, 78) = 312 / 156

GCD(4, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 800

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

LCM(2, 800) = 800

GCD(2, 800) = ( 2 x 800 ) / 800

GCD(2, 800) = 1600 / 800

GCD(2, 800) = 2

GCD of 672, 124, 78, 800 is 2

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1. What is the GCD of 672, 124, 78, 800?

GCD of 672, 124, 78, 800 is 2

2. Where do I get the detailed procedure to find GCD of 672, 124, 78, 800?

You can find a detailed procedure to find GCD of 672, 124, 78, 800 on our page.

3. How to find GCD of 672, 124, 78, 800 on a calculator?

You can find the GCD of 672, 124, 78, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.