GCD of 577, 311, 920, 968 Calculator

Given Input numbers are 577, 311, 920, 968

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

Divisors of 577 :

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

1, 577

Divisors of 311 :

The positive integer divisors of 311 that completely divides 311 are.

1, 311

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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

GCD of numbers is the greatest common divisor

So, the GCD (577, 311, 920, 968) = 1.

Given numbers are 577, 311, 920, 968

The list of prime factors of all numbers are

Prime factors of 577 are 577

Prime factors of 311 are 311

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

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

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

Given numbers are 577, 311, 920, 968

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

Apply this formula for all numbers.

Step1:

LCM(577, 311) = 179447

GCD(577, 311) = ( 577 x 311 ) / 179447

= 577 / 311

= 577

Step2:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1

Step3:

LCM(1, 968) = 968

GCD(1, 968) = ( 1 x 968 ) / 968

= 1 / 968

= 1

So, Greatest Common Divisor of 577, 311, 920, 968 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 383, 895, 217, 213
• GCD of 438, 706, 152, 975
• GCD of 390, 488, 232, 670
• GCD of 221, 731, 672, 254
• GCD of 893, 713, 647, 331

Given numbers are 577, 311, 920, 968
The greatest common divisor of numbers 577, 311, 920, 968 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 577, 311, 920, 968 is 1.

1. What is the GCD of 577, 311, 920, 968?

GCD of given numbers 577, 311, 920, 968 is 1

2. How to calculate the greatest common divisor of 577, 311, 920, 968?

We can find the highest common divisor of 577, 311, 920, 968 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 577, 311, 920, 968 i.e 1.

3. How can I use the GCD of 577, 311, 920, 968Calculator?

Out the numbers 577, 311, 920, 968 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.