GCD of 198, 354, 955, 976 Calculator

Given Input numbers are 198, 354, 955, 976

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 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 955 :

The positive integer divisors of 955 that completely divides 955 are.

1, 5, 191, 955

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

GCD of numbers is the greatest common divisor

So, the GCD (198, 354, 955, 976) = 1.

Given numbers are 198, 354, 955, 976

The list of prime factors of all numbers are

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

Prime factors of 354 are 2 x 3 x 59

Prime factors of 955 are 5 x 191

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

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

Given numbers are 198, 354, 955, 976

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

Apply this formula for all numbers.

Step1:

LCM(198, 354) = 11682

GCD(198, 354) = ( 198 x 354 ) / 11682

= 198 / 354

= 198

Step2:

LCM(6, 955) = 5730

GCD(6, 955) = ( 6 x 955 ) / 5730

= 6 / 955

= 6

Step3:

LCM(1, 976) = 976

GCD(1, 976) = ( 1 x 976 ) / 976

= 1 / 976

= 1

So, Greatest Common Divisor of 198, 354, 955, 976 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 617, 259, 383, 349
• GCD of 272, 117, 179, 472
• GCD of 784, 300, 103, 488
• GCD of 470, 228, 340, 530
• GCD of 579, 336, 261, 402

Given numbers are 198, 354, 955, 976
The greatest common divisor of numbers 198, 354, 955, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 354, 955, 976 is 1.

1. What is the GCD of 198, 354, 955, 976?

GCD of given numbers 198, 354, 955, 976 is 1

2. How to calculate the greatest common divisor of 198, 354, 955, 976?

We can find the highest common divisor of 198, 354, 955, 976 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, 354, 955, 976 i.e 1.

3. How can I use the GCD of 198, 354, 955, 976Calculator?

Out the numbers 198, 354, 955, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.