GCD of 678, 714, 50, 118 Calculator

Given Input numbers are 678, 714, 50, 118

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 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 50 :

The positive integer divisors of 50 that completely divides 50 are.

1, 2, 5, 10, 25, 50

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

GCD of numbers is the greatest common divisor

So, the GCD (678, 714, 50, 118) = 2.

Given numbers are 678, 714, 50, 118

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 50 are 2 x 5 x 5

Prime factors of 118 are 2 x 59

The highest common occurrence is 2¹

Therefore, GCD of 678, 714, 50, 118 is 2.

Given numbers are 678, 714, 50, 118

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

Apply this formula for all numbers.

Step1:

LCM(678, 714) = 80682

GCD(678, 714) = ( 678 x 714 ) / 80682

= 678 / 714

= 678

Step2:

LCM(6, 50) = 150

GCD(6, 50) = ( 6 x 50 ) / 150

= 6 / 50

= 6

Step3:

LCM(2, 118) = 118

GCD(2, 118) = ( 2 x 118 ) / 118

= 2 / 118

= 2

So, Greatest Common Divisor of 678, 714, 50, 118 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 828, 279, 98, 834
• GCD of 200, 101, 23, 386
• GCD of 721, 129, 73, 644
• GCD of 309, 373, 33, 219
• GCD of 299, 410, 48, 764

Given numbers are 678, 714, 50, 118
The greatest common divisor of numbers 678, 714, 50, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 714, 50, 118 is 2.

1. What is the GCD of 678, 714, 50, 118?

GCD of given numbers 678, 714, 50, 118 is 2

2. How to calculate the greatest common divisor of 678, 714, 50, 118?

We can find the highest common divisor of 678, 714, 50, 118 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, 714, 50, 118 i.e 2.

3. How can I use the GCD of 678, 714, 50, 118Calculator?

Out the numbers 678, 714, 50, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.