GCD of 548, 750, 920 Calculator

Given Input numbers are 548, 750, 920

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

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Greatest Common Divisior

We found the divisors of 548, 750, 920 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 750, 920 is 2.

Therefore, GCD of numbers 548, 750, 920 is 2

Given Input Data is 548, 750, 920

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

Prime Factorization of 548 is 2 x 2 x 137

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

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(548, 750) = 205500

GCD(548, 750) = ( 548 x 750 ) / 205500

GCD(548, 750) = 411000 / 205500

GCD(548, 750) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 920

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

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

GCD(2, 920) = 1840 / 920

GCD(2, 920) = 2

GCD of 548, 750, 920 is 2

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1. What is the GCD of 548, 750, 920?

GCD of 548, 750, 920 is 2

2. Where do I get the detailed procedure to find GCD of 548, 750, 920?

You can find a detailed procedure to find GCD of 548, 750, 920 on our page.

3. How to find GCD of 548, 750, 920 on a calculator?

You can find the GCD of 548, 750, 920 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.