GCD of 198, 657, 945, 986 Calculator

Given Input numbers are 198, 657, 945, 986

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 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

GCD of numbers is the greatest common divisor

So, the GCD (198, 657, 945, 986) = 1.

Given numbers are 198, 657, 945, 986

The list of prime factors of all numbers are

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

Prime factors of 657 are 3 x 3 x 73

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 986 are 2 x 17 x 29

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 198, 657, 945, 986

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

Apply this formula for all numbers.

Step1:

LCM(198, 657) = 14454

GCD(198, 657) = ( 198 x 657 ) / 14454

= 198 / 657

= 198

Step2:

LCM(9, 945) = 945

GCD(9, 945) = ( 9 x 945 ) / 945

= 9 / 945

= 9

Step3:

LCM(9, 986) = 8874

GCD(9, 986) = ( 9 x 986 ) / 8874

= 9 / 986

= 9

So, Greatest Common Divisor of 198, 657, 945, 986 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 618, 701, 631, 841
• GCD of 112, 644, 900, 647
• GCD of 448, 835, 772, 331
• GCD of 147, 937, 398, 339
• GCD of 222, 894, 234, 230

Given numbers are 198, 657, 945, 986
The greatest common divisor of numbers 198, 657, 945, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 657, 945, 986 is 1.

1. What is the GCD of 198, 657, 945, 986?

GCD of given numbers 198, 657, 945, 986 is 1

2. How to calculate the greatest common divisor of 198, 657, 945, 986?

We can find the highest common divisor of 198, 657, 945, 986 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, 657, 945, 986 i.e 1.

3. How can I use the GCD of 198, 657, 945, 986Calculator?

Out the numbers 198, 657, 945, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.