GCD of 198, 402, 710, 108 Calculator

Given Input numbers are 198, 402, 710, 108

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

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 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (198, 402, 710, 108) = 2.

Given numbers are 198, 402, 710, 108

The list of prime factors of all numbers are

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

Prime factors of 402 are 2 x 3 x 67

Prime factors of 710 are 2 x 5 x 71

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 198, 402, 710, 108 is 2.

Given numbers are 198, 402, 710, 108

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

Apply this formula for all numbers.

Step1:

LCM(198, 402) = 13266

GCD(198, 402) = ( 198 x 402 ) / 13266

= 198 / 402

= 198

Step2:

LCM(6, 710) = 2130

GCD(6, 710) = ( 6 x 710 ) / 2130

= 6 / 710

= 6

Step3:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

So, Greatest Common Divisor of 198, 402, 710, 108 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 148, 691, 472, 680
• GCD of 999, 543, 912, 653
• GCD of 925, 712, 503, 575
• GCD of 390, 182, 976, 345
• GCD of 904, 882, 543, 402

Given numbers are 198, 402, 710, 108
The greatest common divisor of numbers 198, 402, 710, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 402, 710, 108 is 2.

1. What is the GCD of 198, 402, 710, 108?

GCD of given numbers 198, 402, 710, 108 is 2

2. How to calculate the greatest common divisor of 198, 402, 710, 108?

We can find the highest common divisor of 198, 402, 710, 108 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 198, 402, 710, 108 i.e 2.

3. How can I use the GCD of 198, 402, 710, 108Calculator?

Out the numbers 198, 402, 710, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.