GCD of 378, 342, 840 Calculator

Given Input numbers are 378, 342, 840

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

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

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

GCD of numbers is the greatest common divisor

So, the GCD (378, 342, 840) = 6.

Given numbers are 378, 342, 840

The list of prime factors of all numbers are

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

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 378, 342, 840 is 6.

Given numbers are 378, 342, 840

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

Apply this formula for all numbers.

Step1:

LCM(378, 342) = 7182

GCD(378, 342) = ( 378 x 342 ) / 7182

= 378 / 342

= 378

Step2:

LCM(18, 840) = 2520

GCD(18, 840) = ( 18 x 840 ) / 2520

= 18 / 840

= 18

So, Greatest Common Divisor of 378, 342, 840 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 339, 336, 808
• GCD of 377, 793, 950
• GCD of 599, 760, 973
• GCD of 565, 913, 523
• GCD of 213, 866, 885

Given numbers are 378, 342, 840
The greatest common divisor of numbers 378, 342, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 342, 840 is 6.

1. What is the GCD of 378, 342, 840?

GCD of given numbers 378, 342, 840 is 6

2. How to calculate the greatest common divisor of 378, 342, 840?

We can find the highest common divisor of 378, 342, 840 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 378, 342, 840 i.e 6.

3. How can I use the GCD of 378, 342, 840Calculator?

Out the numbers 378, 342, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.