GCD of 879, 138, 378 Calculator

Given Input numbers are 879, 138, 378

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

Divisors of 879 :

The positive integer divisors of 879 that completely divides 879 are.

1, 3, 293, 879

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

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 (879, 138, 378) = 3.

Given numbers are 879, 138, 378

The list of prime factors of all numbers are

Prime factors of 879 are 3 x 293

Prime factors of 138 are 2 x 3 x 23

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

The highest common occurrence is 3¹

Therefore, GCD of 879, 138, 378 is 3.

Given numbers are 879, 138, 378

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

Apply this formula for all numbers.

Step1:

LCM(879, 138) = 40434

GCD(879, 138) = ( 879 x 138 ) / 40434

= 879 / 138

= 879

Step2:

LCM(3, 378) = 378

GCD(3, 378) = ( 3 x 378 ) / 378

= 3 / 378

= 3

So, Greatest Common Divisor of 879, 138, 378 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 838, 498, 421
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Given numbers are 879, 138, 378
The greatest common divisor of numbers 879, 138, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 879, 138, 378 is 3.

1. What is the GCD of 879, 138, 378?

GCD of given numbers 879, 138, 378 is 3

2. How to calculate the greatest common divisor of 879, 138, 378?

We can find the highest common divisor of 879, 138, 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 879, 138, 378 i.e 3.

3. How can I use the GCD of 879, 138, 378Calculator?

Out the numbers 879, 138, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.