GCD of 228, 938, 48, 678 Calculator

Given Input numbers are 228, 938, 48, 678

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 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 678 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (228, 938, 48, 678) = 2.

Given numbers are 228, 938, 48, 678

The list of prime factors of all numbers are

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

Prime factors of 938 are 2 x 7 x 67

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 2¹

Therefore, GCD of 228, 938, 48, 678 is 2.

Given numbers are 228, 938, 48, 678

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

Apply this formula for all numbers.

Step1:

LCM(228, 938) = 106932

GCD(228, 938) = ( 228 x 938 ) / 106932

= 228 / 938

= 228

Step2:

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

= 2 / 48

= 2

Step3:

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

= 2 / 678

= 2

So, Greatest Common Divisor of 228, 938, 48, 678 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 787, 391, 82, 775
• GCD of 577, 992, 61, 493
• GCD of 704, 927, 88, 777
• GCD of 392, 600, 77, 715
• GCD of 450, 423, 67, 461

Given numbers are 228, 938, 48, 678
The greatest common divisor of numbers 228, 938, 48, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 938, 48, 678 is 2.

1. What is the GCD of 228, 938, 48, 678?

GCD of given numbers 228, 938, 48, 678 is 2

2. How to calculate the greatest common divisor of 228, 938, 48, 678?

We can find the highest common divisor of 228, 938, 48, 678 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, 938, 48, 678 i.e 2.

3. How can I use the GCD of 228, 938, 48, 678Calculator?

Out the numbers 228, 938, 48, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.