GCD of 78, 617, 602, 735 Calculator

Given Input numbers are 78, 617, 602, 735

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

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 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Greatest Common Divisior

We found the divisors of 78, 617, 602, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 617, 602, 735 is 1.

Therefore, GCD of numbers 78, 617, 602, 735 is 1

Given Input Data is 78, 617, 602, 735

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

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 617 is 617

Prime Factorization of 602 is 2 x 7 x 43

Prime Factorization of 735 is 3 x 5 x 7 x 7

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(78, 617) = 48126

GCD(78, 617) = ( 78 x 617 ) / 48126

GCD(78, 617) = 48126 / 48126

GCD(78, 617) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 602

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

LCM(1, 602) = 602

GCD(1, 602) = ( 1 x 602 ) / 602

GCD(1, 602) = 602 / 602

GCD(1, 602) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

GCD of 78, 617, 602, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 99, 783, 187, 598
• GCD of 86, 577, 846, 599
• GCD of 15, 701, 624, 811
• GCD of 77, 404, 737, 908
• GCD of 77, 784, 373, 738

1. What is the GCD of 78, 617, 602, 735?

GCD of 78, 617, 602, 735 is 1

2. Where do I get the detailed procedure to find GCD of 78, 617, 602, 735?

You can find a detailed procedure to find GCD of 78, 617, 602, 735 on our page.

3. How to find GCD of 78, 617, 602, 735 on a calculator?

You can find the GCD of 78, 617, 602, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.