GCD of 120, 639, 114 Calculator

Given Input numbers are 120, 639, 114

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 639 :

The positive integer divisors of 639 that completely divides 639 are.

1, 3, 9, 71, 213, 639

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

GCD of numbers is the greatest common divisor

So, the GCD (120, 639, 114) = 3.

Given numbers are 120, 639, 114

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 639 are 3 x 3 x 71

Prime factors of 114 are 2 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 120, 639, 114 is 3.

Given numbers are 120, 639, 114

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

Apply this formula for all numbers.

Step1:

LCM(120, 639) = 25560

GCD(120, 639) = ( 120 x 639 ) / 25560

= 120 / 639

= 120

Step2:

LCM(3, 114) = 114

GCD(3, 114) = ( 3 x 114 ) / 114

= 3 / 114

= 3

So, Greatest Common Divisor of 120, 639, 114 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 934, 528, 316
• GCD of 393, 285, 306
• GCD of 319, 624, 348
• GCD of 750, 796, 728
• GCD of 897, 979, 232

Given numbers are 120, 639, 114
The greatest common divisor of numbers 120, 639, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 639, 114 is 3.

1. What is the GCD of 120, 639, 114?

GCD of given numbers 120, 639, 114 is 3

2. How to calculate the greatest common divisor of 120, 639, 114?

We can find the highest common divisor of 120, 639, 114 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 120, 639, 114 i.e 3.

3. How can I use the GCD of 120, 639, 114Calculator?

Out the numbers 120, 639, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.