GCD of 722, 319, 77, 112 Calculator

Given Input numbers are 722, 319, 77, 112

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 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Greatest Common Divisior

We found the divisors of 722, 319, 77, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 319, 77, 112 is 1.

Therefore, GCD of numbers 722, 319, 77, 112 is 1

Given Input Data is 722, 319, 77, 112

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 319 is 11 x 29

Prime Factorization of 77 is 7 x 11

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

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, 319) = 230318

GCD(722, 319) = ( 722 x 319 ) / 230318

GCD(722, 319) = 230318 / 230318

GCD(722, 319) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 77

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

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

GCD(1, 77) = 77 / 77

GCD(1, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 722, 319, 77, 112 is 1

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• GCD of 279, 259, 65, 983
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1. What is the GCD of 722, 319, 77, 112?

GCD of 722, 319, 77, 112 is 1

2. Where do I get the detailed procedure to find GCD of 722, 319, 77, 112?

You can find a detailed procedure to find GCD of 722, 319, 77, 112 on our page.

3. How to find GCD of 722, 319, 77, 112 on a calculator?

You can find the GCD of 722, 319, 77, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.