GCD of 714, 198, 102 Calculator

Given Input numbers are 714, 198, 102

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 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

GCD of numbers is the greatest common divisor

So, the GCD (714, 198, 102) = 6.

Given numbers are 714, 198, 102

The list of prime factors of all numbers are

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

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 714, 198, 102 is 6.

Given numbers are 714, 198, 102

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

Apply this formula for all numbers.

Step1:

LCM(714, 198) = 23562

GCD(714, 198) = ( 714 x 198 ) / 23562

= 714 / 198

= 714

Step2:

LCM(6, 102) = 102

GCD(6, 102) = ( 6 x 102 ) / 102

= 6 / 102

= 6

So, Greatest Common Divisor of 714, 198, 102 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 813, 627, 943
• GCD of 361, 295, 903
• GCD of 837, 303, 625
• GCD of 292, 528, 924
• GCD of 936, 711, 457

Given numbers are 714, 198, 102
The greatest common divisor of numbers 714, 198, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 198, 102 is 6.

1. What is the GCD of 714, 198, 102?

GCD of given numbers 714, 198, 102 is 6

2. How to calculate the greatest common divisor of 714, 198, 102?

We can find the highest common divisor of 714, 198, 102 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, 198, 102 i.e 6.

3. How can I use the GCD of 714, 198, 102Calculator?

Out the numbers 714, 198, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.