GCD of 78, 150, 825, 356 Calculator

Given Input numbers are 78, 150, 825, 356

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 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Greatest Common Divisior

We found the divisors of 78, 150, 825, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 78, 150, 825, 356 is 1.

Therefore, GCD of numbers 78, 150, 825, 356 is 1

Given Input Data is 78, 150, 825, 356

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 150 is 2 x 3 x 5 x 5

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 356 is 2 x 2 x 89

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, 150) = 1950

GCD(78, 150) = ( 78 x 150 ) / 1950

GCD(78, 150) = 11700 / 1950

GCD(78, 150) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 825

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

LCM(6, 825) = 1650

GCD(6, 825) = ( 6 x 825 ) / 1650

GCD(6, 825) = 4950 / 1650

GCD(6, 825) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 356

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

LCM(3, 356) = 1068

GCD(3, 356) = ( 3 x 356 ) / 1068

GCD(3, 356) = 1068 / 1068

GCD(3, 356) = 1

GCD of 78, 150, 825, 356 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 84, 526, 474, 599
• GCD of 69, 933, 604, 939
• GCD of 78, 393, 865, 511
• GCD of 44, 722, 325, 976
• GCD of 29, 399, 912, 899

1. What is the GCD of 78, 150, 825, 356?

GCD of 78, 150, 825, 356 is 1

2. Where do I get the detailed procedure to find GCD of 78, 150, 825, 356?

You can find a detailed procedure to find GCD of 78, 150, 825, 356 on our page.

3. How to find GCD of 78, 150, 825, 356 on a calculator?

You can find the GCD of 78, 150, 825, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.