GCD of 198, 142, 312, 977 Calculator

Given Input numbers are 198, 142, 312, 977

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 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

GCD of numbers is the greatest common divisor

So, the GCD (198, 142, 312, 977) = 1.

Given numbers are 198, 142, 312, 977

The list of prime factors of all numbers are

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

Prime factors of 142 are 2 x 71

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 977 are 977

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

Given numbers are 198, 142, 312, 977

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

Apply this formula for all numbers.

Step1:

LCM(198, 142) = 14058

GCD(198, 142) = ( 198 x 142 ) / 14058

= 198 / 142

= 198

Step2:

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

= 2 / 312

= 2

Step3:

LCM(2, 977) = 1954

GCD(2, 977) = ( 2 x 977 ) / 1954

= 2 / 977

= 2

So, Greatest Common Divisor of 198, 142, 312, 977 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 557, 354, 719, 509
• GCD of 226, 103, 271, 783
• GCD of 255, 188, 713, 944
• GCD of 408, 335, 225, 744
• GCD of 500, 697, 183, 215

Given numbers are 198, 142, 312, 977
The greatest common divisor of numbers 198, 142, 312, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 142, 312, 977 is 1.

1. What is the GCD of 198, 142, 312, 977?

GCD of given numbers 198, 142, 312, 977 is 1

2. How to calculate the greatest common divisor of 198, 142, 312, 977?

We can find the highest common divisor of 198, 142, 312, 977 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, 142, 312, 977 i.e 1.

3. How can I use the GCD of 198, 142, 312, 977Calculator?

Out the numbers 198, 142, 312, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.