GCD of 722, 900, 76, 377 Calculator

Given Input numbers are 722, 900, 76, 377

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

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

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 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 377

List of positive integer divisors of 377 that divides 377 without a remainder.

1, 13, 29, 377

Greatest Common Divisior

We found the divisors of 722, 900, 76, 377 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 900, 76, 377 is 1.

Therefore, GCD of numbers 722, 900, 76, 377 is 1

Given Input Data is 722, 900, 76, 377

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

Prime Factorization of 722 is 2 x 19 x 19

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 377 is 13 x 29

The above numbers do not have any common prime factor. So GCD is 1

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(722, 900) = 324900

GCD(722, 900) = ( 722 x 900 ) / 324900

GCD(722, 900) = 649800 / 324900

GCD(722, 900) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 377

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

LCM(2, 377) = 754

GCD(2, 377) = ( 2 x 377 ) / 754

GCD(2, 377) = 754 / 754

GCD(2, 377) = 1

GCD of 722, 900, 76, 377 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 461, 821, 47, 663
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• GCD of 334, 364, 15, 719
• GCD of 728, 142, 45, 356
• GCD of 778, 120, 30, 833

1. What is the GCD of 722, 900, 76, 377?

GCD of 722, 900, 76, 377 is 1

2. Where do I get the detailed procedure to find GCD of 722, 900, 76, 377?

You can find a detailed procedure to find GCD of 722, 900, 76, 377 on our page.

3. How to find GCD of 722, 900, 76, 377 on a calculator?

You can find the GCD of 722, 900, 76, 377 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.