GCD of 198, 742, 714, 718 Calculator

Given Input numbers are 198, 742, 714, 718

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

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 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

GCD of numbers is the greatest common divisor

So, the GCD (198, 742, 714, 718) = 2.

Given numbers are 198, 742, 714, 718

The list of prime factors of all numbers are

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

Prime factors of 742 are 2 x 7 x 53

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

Prime factors of 718 are 2 x 359

The highest common occurrence is 2¹

Therefore, GCD of 198, 742, 714, 718 is 2.

Given numbers are 198, 742, 714, 718

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

Apply this formula for all numbers.

Step1:

LCM(198, 742) = 73458

GCD(198, 742) = ( 198 x 742 ) / 73458

= 198 / 742

= 198

Step2:

LCM(2, 714) = 714

GCD(2, 714) = ( 2 x 714 ) / 714

= 2 / 714

= 2

Step3:

LCM(2, 718) = 718

GCD(2, 718) = ( 2 x 718 ) / 718

= 2 / 718

= 2

So, Greatest Common Divisor of 198, 742, 714, 718 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 668, 991, 368, 426
• GCD of 925, 160, 836, 729
• GCD of 131, 130, 589, 244
• GCD of 138, 817, 634, 104
• GCD of 709, 189, 488, 618

Given numbers are 198, 742, 714, 718
The greatest common divisor of numbers 198, 742, 714, 718 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 742, 714, 718 is 2.

1. What is the GCD of 198, 742, 714, 718?

GCD of given numbers 198, 742, 714, 718 is 2

2. How to calculate the greatest common divisor of 198, 742, 714, 718?

We can find the highest common divisor of 198, 742, 714, 718 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, 742, 714, 718 i.e 2.

3. How can I use the GCD of 198, 742, 714, 718Calculator?

Out the numbers 198, 742, 714, 718 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.