GCD of 702, 378, 767, 964 Calculator

Given Input numbers are 702, 378, 767, 964

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

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 767

List of positive integer divisors of 767 that divides 767 without a remainder.

1, 13, 59, 767

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 702, 378, 767, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 378, 767, 964 is 1.

Therefore, GCD of numbers 702, 378, 767, 964 is 1

Given Input Data is 702, 378, 767, 964

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

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

Prime Factorization of 767 is 13 x 59

Prime Factorization of 964 is 2 x 2 x 241

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(702, 378) = 4914

GCD(702, 378) = ( 702 x 378 ) / 4914

GCD(702, 378) = 265356 / 4914

GCD(702, 378) = 54

Step2:

Here we consider the GCD from the above i.e. 54 as first number and the next as 767

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

LCM(54, 767) = 41418

GCD(54, 767) = ( 54 x 767 ) / 41418

GCD(54, 767) = 41418 / 41418

GCD(54, 767) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 964

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

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

GCD(1, 964) = 964 / 964

GCD(1, 964) = 1

GCD of 702, 378, 767, 964 is 1

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1. What is the GCD of 702, 378, 767, 964?

GCD of 702, 378, 767, 964 is 1

2. Where do I get the detailed procedure to find GCD of 702, 378, 767, 964?

You can find a detailed procedure to find GCD of 702, 378, 767, 964 on our page.

3. How to find GCD of 702, 378, 767, 964 on a calculator?

You can find the GCD of 702, 378, 767, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.