GCD of 126, 687, 198, 981 Calculator

Given Input numbers are 126, 687, 198, 981

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

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

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 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

GCD of numbers is the greatest common divisor

So, the GCD (126, 687, 198, 981) = 3.

Given numbers are 126, 687, 198, 981

The list of prime factors of all numbers are

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 687 are 3 x 229

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

Prime factors of 981 are 3 x 3 x 109

The highest common occurrence is 3¹

Therefore, GCD of 126, 687, 198, 981 is 3.

Given numbers are 126, 687, 198, 981

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

Apply this formula for all numbers.

Step1:

LCM(126, 687) = 28854

GCD(126, 687) = ( 126 x 687 ) / 28854

= 126 / 687

= 126

Step2:

LCM(3, 198) = 198

GCD(3, 198) = ( 3 x 198 ) / 198

= 3 / 198

= 3

Step3:

LCM(3, 981) = 981

GCD(3, 981) = ( 3 x 981 ) / 981

= 3 / 981

= 3

So, Greatest Common Divisor of 126, 687, 198, 981 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 590, 220, 503
• GCD of 747, 735, 111, 647
• GCD of 948, 230, 465, 134
• GCD of 735, 828, 724, 137
• GCD of 165, 745, 287, 131

Given numbers are 126, 687, 198, 981
The greatest common divisor of numbers 126, 687, 198, 981 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 687, 198, 981 is 3.

1. What is the GCD of 126, 687, 198, 981?

GCD of given numbers 126, 687, 198, 981 is 3

2. How to calculate the greatest common divisor of 126, 687, 198, 981?

We can find the highest common divisor of 126, 687, 198, 981 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 126, 687, 198, 981 i.e 3.

3. How can I use the GCD of 126, 687, 198, 981Calculator?

Out the numbers 126, 687, 198, 981 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.