GCD of 294, 152, 78, 769 Calculator

Given Input numbers are 294, 152, 78, 769

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 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Greatest Common Divisior

We found the divisors of 294, 152, 78, 769 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 294, 152, 78, 769 is 1.

Therefore, GCD of numbers 294, 152, 78, 769 is 1

Given Input Data is 294, 152, 78, 769

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 152 is 2 x 2 x 2 x 19

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 769 is 769

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, 152) = 22344

GCD(294, 152) = ( 294 x 152 ) / 22344

GCD(294, 152) = 44688 / 22344

GCD(294, 152) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 78

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

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

GCD(2, 78) = 156 / 78

GCD(2, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 769

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

LCM(2, 769) = 1538

GCD(2, 769) = ( 2 x 769 ) / 1538

GCD(2, 769) = 1538 / 1538

GCD(2, 769) = 1

GCD of 294, 152, 78, 769 is 1

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1. What is the GCD of 294, 152, 78, 769?

GCD of 294, 152, 78, 769 is 1

2. Where do I get the detailed procedure to find GCD of 294, 152, 78, 769?

You can find a detailed procedure to find GCD of 294, 152, 78, 769 on our page.

3. How to find GCD of 294, 152, 78, 769 on a calculator?

You can find the GCD of 294, 152, 78, 769 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.