GCD of 298, 112, 77, 763 Calculator

Given Input numbers are 298, 112, 77, 763

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

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

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

Divisors of 77

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

1, 7, 11, 77

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Greatest Common Divisior

We found the divisors of 298, 112, 77, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 298, 112, 77, 763 is 1.

Therefore, GCD of numbers 298, 112, 77, 763 is 1

Given Input Data is 298, 112, 77, 763

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

Prime Factorization of 298 is 2 x 149

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 763 is 7 x 109

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(298, 112) = 16688

GCD(298, 112) = ( 298 x 112 ) / 16688

GCD(298, 112) = 33376 / 16688

GCD(298, 112) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 763

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

LCM(1, 763) = 763

GCD(1, 763) = ( 1 x 763 ) / 763

GCD(1, 763) = 763 / 763

GCD(1, 763) = 1

GCD of 298, 112, 77, 763 is 1

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1. What is the GCD of 298, 112, 77, 763?

GCD of 298, 112, 77, 763 is 1

2. Where do I get the detailed procedure to find GCD of 298, 112, 77, 763?

You can find a detailed procedure to find GCD of 298, 112, 77, 763 on our page.

3. How to find GCD of 298, 112, 77, 763 on a calculator?

You can find the GCD of 298, 112, 77, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.