GCD of 432, 758, 972, 977 Calculator

Given Input numbers are 432, 758, 972, 977

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

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

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

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 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 (432, 758, 972, 977) = 1.

Given numbers are 432, 758, 972, 977

The list of prime factors of all numbers are

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

Prime factors of 758 are 2 x 379

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

Prime factors of 977 are 977

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

Given numbers are 432, 758, 972, 977

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

Apply this formula for all numbers.

Step1:

LCM(432, 758) = 163728

GCD(432, 758) = ( 432 x 758 ) / 163728

= 432 / 758

= 432

Step2:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

Step3:

LCM(2, 977) = 1954

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

= 2 / 977

= 2

So, Greatest Common Divisor of 432, 758, 972, 977 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 923, 991, 331, 545
• GCD of 325, 484, 526, 308
• GCD of 622, 222, 359, 312
• GCD of 833, 928, 996, 462
• GCD of 450, 590, 961, 752

Given numbers are 432, 758, 972, 977
The greatest common divisor of numbers 432, 758, 972, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 758, 972, 977 is 1.

1. What is the GCD of 432, 758, 972, 977?

GCD of given numbers 432, 758, 972, 977 is 1

2. How to calculate the greatest common divisor of 432, 758, 972, 977?

We can find the highest common divisor of 432, 758, 972, 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 432, 758, 972, 977 i.e 1.

3. How can I use the GCD of 432, 758, 972, 977Calculator?

Out the numbers 432, 758, 972, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.