GCD of 678, 342, 844, 130 Calculator

Given Input numbers are 678, 342, 844, 130

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

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 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

GCD of numbers is the greatest common divisor

So, the GCD (678, 342, 844, 130) = 2.

Given numbers are 678, 342, 844, 130

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

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

Prime factors of 844 are 2 x 2 x 211

Prime factors of 130 are 2 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 678, 342, 844, 130 is 2.

Given numbers are 678, 342, 844, 130

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

Apply this formula for all numbers.

Step1:

LCM(678, 342) = 38646

GCD(678, 342) = ( 678 x 342 ) / 38646

= 678 / 342

= 678

Step2:

LCM(6, 844) = 2532

GCD(6, 844) = ( 6 x 844 ) / 2532

= 6 / 844

= 6

Step3:

LCM(2, 130) = 130

GCD(2, 130) = ( 2 x 130 ) / 130

= 2 / 130

= 2

So, Greatest Common Divisor of 678, 342, 844, 130 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 477, 707, 237, 130
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• GCD of 774, 486, 740, 294
• GCD of 653, 142, 824, 445

Given numbers are 678, 342, 844, 130
The greatest common divisor of numbers 678, 342, 844, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 342, 844, 130 is 2.

1. What is the GCD of 678, 342, 844, 130?

GCD of given numbers 678, 342, 844, 130 is 2

2. How to calculate the greatest common divisor of 678, 342, 844, 130?

We can find the highest common divisor of 678, 342, 844, 130 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 678, 342, 844, 130 i.e 2.

3. How can I use the GCD of 678, 342, 844, 130Calculator?

Out the numbers 678, 342, 844, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.