GCD of 228, 342, 424, 138 Calculator

Given Input numbers are 228, 342, 424, 138

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

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

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 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 138 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (228, 342, 424, 138) = 2.

Given numbers are 228, 342, 424, 138

The list of prime factors of all numbers are

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

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

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 228, 342, 424, 138 is 2.

Given numbers are 228, 342, 424, 138

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

Apply this formula for all numbers.

Step1:

LCM(228, 342) = 684

GCD(228, 342) = ( 228 x 342 ) / 684

= 228 / 342

= 228

Step2:

LCM(114, 424) = 24168

GCD(114, 424) = ( 114 x 424 ) / 24168

= 114 / 424

= 114

Step3:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

So, Greatest Common Divisor of 228, 342, 424, 138 is 2

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• GCD of 242, 267, 670, 493
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Given numbers are 228, 342, 424, 138
The greatest common divisor of numbers 228, 342, 424, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 342, 424, 138 is 2.

1. What is the GCD of 228, 342, 424, 138?

GCD of given numbers 228, 342, 424, 138 is 2

2. How to calculate the greatest common divisor of 228, 342, 424, 138?

We can find the highest common divisor of 228, 342, 424, 138 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 228, 342, 424, 138 i.e 2.

3. How can I use the GCD of 228, 342, 424, 138Calculator?

Out the numbers 228, 342, 424, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.