GCD of 735, 420, 15, 878 Calculator

Given Input numbers are 735, 420, 15, 878

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

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Greatest Common Divisior

We found the divisors of 735, 420, 15, 878 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 735, 420, 15, 878 is 1.

Therefore, GCD of numbers 735, 420, 15, 878 is 1

Given Input Data is 735, 420, 15, 878

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

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 15 is 3 x 5

Prime Factorization of 878 is 2 x 439

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(735, 420) = 2940

GCD(735, 420) = ( 735 x 420 ) / 2940

GCD(735, 420) = 308700 / 2940

GCD(735, 420) = 105

Step2:

Here we consider the GCD from the above i.e. 105 as first number and the next as 15

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

LCM(105, 15) = 105

GCD(105, 15) = ( 105 x 15 ) / 105

GCD(105, 15) = 1575 / 105

GCD(105, 15) = 15

Step3:

Here we consider the GCD from the above i.e. 15 as first number and the next as 878

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

LCM(15, 878) = 13170

GCD(15, 878) = ( 15 x 878 ) / 13170

GCD(15, 878) = 13170 / 13170

GCD(15, 878) = 1

GCD of 735, 420, 15, 878 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 563, 251, 10, 810
• GCD of 102, 586, 72, 384
• GCD of 807, 402, 21, 111
• GCD of 230, 260, 98, 528
• GCD of 210, 313, 83, 907

1. What is the GCD of 735, 420, 15, 878?

GCD of 735, 420, 15, 878 is 1

2. Where do I get the detailed procedure to find GCD of 735, 420, 15, 878?

You can find a detailed procedure to find GCD of 735, 420, 15, 878 on our page.

3. How to find GCD of 735, 420, 15, 878 on a calculator?

You can find the GCD of 735, 420, 15, 878 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.