GCD of 678, 122, 38, 974 Calculator

Given Input numbers are 678, 122, 38, 974

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 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

GCD of numbers is the greatest common divisor

So, the GCD (678, 122, 38, 974) = 2.

Given numbers are 678, 122, 38, 974

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 122 are 2 x 61

Prime factors of 38 are 2 x 19

Prime factors of 974 are 2 x 487

The highest common occurrence is 2¹

Therefore, GCD of 678, 122, 38, 974 is 2.

Given numbers are 678, 122, 38, 974

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

Apply this formula for all numbers.

Step1:

LCM(678, 122) = 41358

GCD(678, 122) = ( 678 x 122 ) / 41358

= 678 / 122

= 678

Step2:

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

= 2 / 38

= 2

Step3:

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

= 2 / 974

= 2

So, Greatest Common Divisor of 678, 122, 38, 974 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 811, 954, 40, 734
• GCD of 859, 674, 10, 564
• GCD of 298, 396, 31, 966
• GCD of 580, 694, 10, 613
• GCD of 241, 323, 27, 895

Given numbers are 678, 122, 38, 974
The greatest common divisor of numbers 678, 122, 38, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 122, 38, 974 is 2.

1. What is the GCD of 678, 122, 38, 974?

GCD of given numbers 678, 122, 38, 974 is 2

2. How to calculate the greatest common divisor of 678, 122, 38, 974?

We can find the highest common divisor of 678, 122, 38, 974 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, 122, 38, 974 i.e 2.

3. How can I use the GCD of 678, 122, 38, 974Calculator?

Out the numbers 678, 122, 38, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.