GCD of 735, 567, 378 Calculator

Given Input numbers are 735, 567, 378

In the factoring method, we have to find the divisors of all numbers

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

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

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (735, 567, 378) = 21.

Given numbers are 735, 567, 378

The list of prime factors of all numbers are

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

The highest common occurrence is 3¹ x 7¹

Therefore, GCD of 735, 567, 378 is 21.

Given numbers are 735, 567, 378

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(735, 567) = 19845

GCD(735, 567) = ( 735 x 567 ) / 19845

= 735 / 567

= 735

Step2:

LCM(21, 378) = 378

GCD(21, 378) = ( 21 x 378 ) / 378

= 21 / 378

= 21

So, Greatest Common Divisor of 735, 567, 378 is 21

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 934, 569
• GCD of 308, 301, 156
• GCD of 279, 643, 356
• GCD of 716, 724, 898
• GCD of 813, 935, 823

Given numbers are 735, 567, 378
The greatest common divisor of numbers 735, 567, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 567, 378 is 21.

1. What is the GCD of 735, 567, 378?

GCD of given numbers 735, 567, 378 is 21

2. How to calculate the greatest common divisor of 735, 567, 378?

We can find the highest common divisor of 735, 567, 378 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 735, 567, 378 i.e 21.

3. How can I use the GCD of 735, 567, 378Calculator?

Out the numbers 735, 567, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.