GCD of 98, 312, 612, 761 Calculator

Given Input numbers are 98, 312, 612, 761

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

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

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 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Greatest Common Divisior

We found the divisors of 98, 312, 612, 761 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 98, 312, 612, 761 is 1.

Therefore, GCD of numbers 98, 312, 612, 761 is 1

Given Input Data is 98, 312, 612, 761

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

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 761 is 761

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(98, 312) = 15288

GCD(98, 312) = ( 98 x 312 ) / 15288

GCD(98, 312) = 30576 / 15288

GCD(98, 312) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 612

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

LCM(2, 612) = 612

GCD(2, 612) = ( 2 x 612 ) / 612

GCD(2, 612) = 1224 / 612

GCD(2, 612) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 761

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

LCM(2, 761) = 1522

GCD(2, 761) = ( 2 x 761 ) / 1522

GCD(2, 761) = 1522 / 1522

GCD(2, 761) = 1

GCD of 98, 312, 612, 761 is 1

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1. What is the GCD of 98, 312, 612, 761?

GCD of 98, 312, 612, 761 is 1

2. Where do I get the detailed procedure to find GCD of 98, 312, 612, 761?

You can find a detailed procedure to find GCD of 98, 312, 612, 761 on our page.

3. How to find GCD of 98, 312, 612, 761 on a calculator?

You can find the GCD of 98, 312, 612, 761 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.