GCD of 678, 636, 142, 228 Calculator

Given Input numbers are 678, 636, 142, 228

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 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

GCD of numbers is the greatest common divisor

So, the GCD (678, 636, 142, 228) = 2.

Given numbers are 678, 636, 142, 228

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 142 are 2 x 71

Prime factors of 228 are 2 x 2 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 678, 636, 142, 228 is 2.

Given numbers are 678, 636, 142, 228

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

Apply this formula for all numbers.

Step1:

LCM(678, 636) = 71868

GCD(678, 636) = ( 678 x 636 ) / 71868

= 678 / 636

= 678

Step2:

LCM(6, 142) = 426

GCD(6, 142) = ( 6 x 142 ) / 426

= 6 / 142

= 6

Step3:

LCM(2, 228) = 228

GCD(2, 228) = ( 2 x 228 ) / 228

= 2 / 228

= 2

So, Greatest Common Divisor of 678, 636, 142, 228 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 334, 334, 972, 324
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Given numbers are 678, 636, 142, 228
The greatest common divisor of numbers 678, 636, 142, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 636, 142, 228 is 2.

1. What is the GCD of 678, 636, 142, 228?

GCD of given numbers 678, 636, 142, 228 is 2

2. How to calculate the greatest common divisor of 678, 636, 142, 228?

We can find the highest common divisor of 678, 636, 142, 228 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, 636, 142, 228 i.e 2.

3. How can I use the GCD of 678, 636, 142, 228Calculator?

Out the numbers 678, 636, 142, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.