GCD of 294, 491, 988, 765 Calculator

Given Input numbers are 294, 491, 988, 765

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

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 491

List of positive integer divisors of 491 that divides 491 without a remainder.

1, 491

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Greatest Common Divisior

We found the divisors of 294, 491, 988, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 491, 988, 765 is 1.

Therefore, GCD of numbers 294, 491, 988, 765 is 1

Given Input Data is 294, 491, 988, 765

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

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 491 is 491

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 765 is 3 x 3 x 5 x 17

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(294, 491) = 144354

GCD(294, 491) = ( 294 x 491 ) / 144354

GCD(294, 491) = 144354 / 144354

GCD(294, 491) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 988

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

LCM(1, 988) = 988

GCD(1, 988) = ( 1 x 988 ) / 988

GCD(1, 988) = 988 / 988

GCD(1, 988) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 765

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

LCM(1, 765) = 765

GCD(1, 765) = ( 1 x 765 ) / 765

GCD(1, 765) = 765 / 765

GCD(1, 765) = 1

GCD of 294, 491, 988, 765 is 1

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1. What is the GCD of 294, 491, 988, 765?

GCD of 294, 491, 988, 765 is 1

2. Where do I get the detailed procedure to find GCD of 294, 491, 988, 765?

You can find a detailed procedure to find GCD of 294, 491, 988, 765 on our page.

3. How to find GCD of 294, 491, 988, 765 on a calculator?

You can find the GCD of 294, 491, 988, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.