GCD of 968, 576, 100, 577 Calculator

Given Input numbers are 968, 576, 100, 577

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

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 577 :

The positive integer divisors of 577 that completely divides 577 are.

1, 577

GCD of numbers is the greatest common divisor

So, the GCD (968, 576, 100, 577) = 1.

Given numbers are 968, 576, 100, 577

The list of prime factors of all numbers are

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 577 are 577

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

Given numbers are 968, 576, 100, 577

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

Apply this formula for all numbers.

Step1:

LCM(968, 576) = 69696

GCD(968, 576) = ( 968 x 576 ) / 69696

= 968 / 576

= 968

Step2:

LCM(8, 100) = 200

GCD(8, 100) = ( 8 x 100 ) / 200

= 8 / 100

= 8

Step3:

LCM(4, 577) = 2308

GCD(4, 577) = ( 4 x 577 ) / 2308

= 4 / 577

= 4

So, Greatest Common Divisor of 968, 576, 100, 577 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 462, 207, 642
• GCD of 113, 211, 536, 421
• GCD of 494, 978, 879, 109
• GCD of 336, 183, 624, 504
• GCD of 332, 349, 909, 267

Given numbers are 968, 576, 100, 577
The greatest common divisor of numbers 968, 576, 100, 577 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 968, 576, 100, 577 is 1.

1. What is the GCD of 968, 576, 100, 577?

GCD of given numbers 968, 576, 100, 577 is 1

2. How to calculate the greatest common divisor of 968, 576, 100, 577?

We can find the highest common divisor of 968, 576, 100, 577 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 968, 576, 100, 577 i.e 1.

3. How can I use the GCD of 968, 576, 100, 577Calculator?

Out the numbers 968, 576, 100, 577 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.