GCD of 722, 312, 35, 276 Calculator

Given Input numbers are 722, 312, 35, 276

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 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 35

List of positive integer divisors of 35 that divides 35 without a remainder.

1, 5, 7, 35

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Greatest Common Divisior

We found the divisors of 722, 312, 35, 276 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 312, 35, 276 is 1.

Therefore, GCD of numbers 722, 312, 35, 276 is 1

Given Input Data is 722, 312, 35, 276

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 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 35 is 5 x 7

Prime Factorization of 276 is 2 x 2 x 3 x 23

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, 312) = 112632

GCD(722, 312) = ( 722 x 312 ) / 112632

GCD(722, 312) = 225264 / 112632

GCD(722, 312) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 35

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

LCM(2, 35) = 70

GCD(2, 35) = ( 2 x 35 ) / 70

GCD(2, 35) = 70 / 70

GCD(2, 35) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 276

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

LCM(1, 276) = 276

GCD(1, 276) = ( 1 x 276 ) / 276

GCD(1, 276) = 276 / 276

GCD(1, 276) = 1

GCD of 722, 312, 35, 276 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 435, 359, 58, 524
• GCD of 816, 725, 99, 280
• GCD of 220, 538, 72, 509
• GCD of 246, 809, 24, 644
• GCD of 226, 747, 67, 672

1. What is the GCD of 722, 312, 35, 276?

GCD of 722, 312, 35, 276 is 1

2. Where do I get the detailed procedure to find GCD of 722, 312, 35, 276?

You can find a detailed procedure to find GCD of 722, 312, 35, 276 on our page.

3. How to find GCD of 722, 312, 35, 276 on a calculator?

You can find the GCD of 722, 312, 35, 276 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.