GCD of 920, 720, 874 Calculator

Given Input numbers are 920, 720, 874

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

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

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Greatest Common Divisior

We found the divisors of 920, 720, 874 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 920, 720, 874 is 2.

Therefore, GCD of numbers 920, 720, 874 is 2

Given Input Data is 920, 720, 874

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

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

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 874 is 2 x 19 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(920, 720) = 16560

GCD(920, 720) = ( 920 x 720 ) / 16560

GCD(920, 720) = 662400 / 16560

GCD(920, 720) = 40

Step2:

Here we consider the GCD from the above i.e. 40 as first number and the next as 874

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

LCM(40, 874) = 17480

GCD(40, 874) = ( 40 x 874 ) / 17480

GCD(40, 874) = 34960 / 17480

GCD(40, 874) = 2

GCD of 920, 720, 874 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 437, 720, 161
• GCD of 826, 719, 633
• GCD of 135, 220, 503
• GCD of 646, 547, 860
• GCD of 507, 150, 720

1. What is the GCD of 920, 720, 874?

GCD of 920, 720, 874 is 2

2. Where do I get the detailed procedure to find GCD of 920, 720, 874?

You can find a detailed procedure to find GCD of 920, 720, 874 on our page.

3. How to find GCD of 920, 720, 874 on a calculator?

You can find the GCD of 920, 720, 874 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.