GCD of 714, 708, 132, 639 Calculator

Given Input numbers are 714, 708, 132, 639

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

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 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 639 :

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

1, 3, 9, 71, 213, 639

GCD of numbers is the greatest common divisor

So, the GCD (714, 708, 132, 639) = 3.

Given numbers are 714, 708, 132, 639

The list of prime factors of all numbers are

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

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 639 are 3 x 3 x 71

The highest common occurrence is 3¹

Therefore, GCD of 714, 708, 132, 639 is 3.

Given numbers are 714, 708, 132, 639

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

Apply this formula for all numbers.

Step1:

LCM(714, 708) = 84252

GCD(714, 708) = ( 714 x 708 ) / 84252

= 714 / 708

= 714

Step2:

LCM(6, 132) = 132

GCD(6, 132) = ( 6 x 132 ) / 132

= 6 / 132

= 6

Step3:

LCM(6, 639) = 1278

GCD(6, 639) = ( 6 x 639 ) / 1278

= 6 / 639

= 6

So, Greatest Common Divisor of 714, 708, 132, 639 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 253, 164, 395, 753
• GCD of 132, 402, 109, 322
• GCD of 584, 622, 780, 839
• GCD of 965, 767, 954, 159
• GCD of 708, 189, 646, 126

Given numbers are 714, 708, 132, 639
The greatest common divisor of numbers 714, 708, 132, 639 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 708, 132, 639 is 3.

1. What is the GCD of 714, 708, 132, 639?

GCD of given numbers 714, 708, 132, 639 is 3

2. How to calculate the greatest common divisor of 714, 708, 132, 639?

We can find the highest common divisor of 714, 708, 132, 639 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 714, 708, 132, 639 i.e 3.

3. How can I use the GCD of 714, 708, 132, 639Calculator?

Out the numbers 714, 708, 132, 639 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.