GCD of 199, 977, 972, 432 Calculator

Given Input numbers are 199, 977, 972, 432

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

Divisors of 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

Divisors of 977 :

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

1, 977

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

GCD of numbers is the greatest common divisor

So, the GCD (199, 977, 972, 432) = 1.

Given numbers are 199, 977, 972, 432

The list of prime factors of all numbers are

Prime factors of 199 are 199

Prime factors of 977 are 977

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

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

Given numbers are 199, 977, 972, 432

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

Apply this formula for all numbers.

Step1:

LCM(199, 977) = 194423

GCD(199, 977) = ( 199 x 977 ) / 194423

= 199 / 977

= 199

Step2:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

Step3:

LCM(1, 432) = 432

GCD(1, 432) = ( 1 x 432 ) / 432

= 1 / 432

= 1

So, Greatest Common Divisor of 199, 977, 972, 432 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 261, 789, 548, 693
• GCD of 243, 246, 622, 243
• GCD of 138, 176, 452, 543
• GCD of 988, 151, 149, 569
• GCD of 718, 119, 962, 898

Given numbers are 199, 977, 972, 432
The greatest common divisor of numbers 199, 977, 972, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 199, 977, 972, 432 is 1.

1. What is the GCD of 199, 977, 972, 432?

GCD of given numbers 199, 977, 972, 432 is 1

2. How to calculate the greatest common divisor of 199, 977, 972, 432?

We can find the highest common divisor of 199, 977, 972, 432 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 199, 977, 972, 432 i.e 1.

3. How can I use the GCD of 199, 977, 972, 432Calculator?

Out the numbers 199, 977, 972, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.