GCD of 981, 381, 198, 678 Calculator

Given Input numbers are 981, 381, 198, 678

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

Divisors of 981 :

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

1, 3, 9, 109, 327, 981

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

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 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (981, 381, 198, 678) = 3.

Given numbers are 981, 381, 198, 678

The list of prime factors of all numbers are

Prime factors of 981 are 3 x 3 x 109

Prime factors of 381 are 3 x 127

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

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 3¹

Therefore, GCD of 981, 381, 198, 678 is 3.

Given numbers are 981, 381, 198, 678

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

Apply this formula for all numbers.

Step1:

LCM(981, 381) = 124587

GCD(981, 381) = ( 981 x 381 ) / 124587

= 981 / 381

= 981

Step2:

LCM(3, 198) = 198

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

= 3 / 198

= 3

Step3:

LCM(3, 678) = 678

GCD(3, 678) = ( 3 x 678 ) / 678

= 3 / 678

= 3

So, Greatest Common Divisor of 981, 381, 198, 678 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 508, 308, 215, 659
• GCD of 943, 859, 218, 526
• GCD of 124, 456, 512, 922
• GCD of 772, 529, 487, 871
• GCD of 200, 546, 962, 359

Given numbers are 981, 381, 198, 678
The greatest common divisor of numbers 981, 381, 198, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 981, 381, 198, 678 is 3.

1. What is the GCD of 981, 381, 198, 678?

GCD of given numbers 981, 381, 198, 678 is 3

2. How to calculate the greatest common divisor of 981, 381, 198, 678?

We can find the highest common divisor of 981, 381, 198, 678 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 981, 381, 198, 678 i.e 3.

3. How can I use the GCD of 981, 381, 198, 678Calculator?

Out the numbers 981, 381, 198, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.