GCD of 900, 956, 760 Calculator

Given Input numbers are 900, 956, 760

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

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Greatest Common Divisior

We found the divisors of 900, 956, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 900, 956, 760 is 4.

Therefore, GCD of numbers 900, 956, 760 is 4

Given Input Data is 900, 956, 760

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

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(900, 956) = 215100

GCD(900, 956) = ( 900 x 956 ) / 215100

GCD(900, 956) = 860400 / 215100

GCD(900, 956) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 760

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

LCM(4, 760) = 760

GCD(4, 760) = ( 4 x 760 ) / 760

GCD(4, 760) = 3040 / 760

GCD(4, 760) = 4

GCD of 900, 956, 760 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 921, 223, 647
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• GCD of 736, 720, 807
• GCD of 107, 891, 310
• GCD of 822, 877, 856

1. What is the GCD of 900, 956, 760?

GCD of 900, 956, 760 is 4

2. Where do I get the detailed procedure to find GCD of 900, 956, 760?

You can find a detailed procedure to find GCD of 900, 956, 760 on our page.

3. How to find GCD of 900, 956, 760 on a calculator?

You can find the GCD of 900, 956, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.