GCD of 920, 768, 943, 977 Calculator

Given Input numbers are 920, 768, 943, 977

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

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 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 943 :

The positive integer divisors of 943 that completely divides 943 are.

1, 23, 41, 943

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 (920, 768, 943, 977) = 1.

Given numbers are 920, 768, 943, 977

The list of prime factors of all numbers are

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

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 943 are 23 x 41

Prime factors of 977 are 977

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

Given numbers are 920, 768, 943, 977

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

Apply this formula for all numbers.

Step1:

LCM(920, 768) = 88320

GCD(920, 768) = ( 920 x 768 ) / 88320

= 920 / 768

= 920

Step2:

LCM(8, 943) = 7544

GCD(8, 943) = ( 8 x 943 ) / 7544

= 8 / 943

= 8

Step3:

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

= 1 / 977

= 1

So, Greatest Common Divisor of 920, 768, 943, 977 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 450, 957, 879, 793
• GCD of 445, 768, 817, 742
• GCD of 664, 928, 161, 432
• GCD of 118, 124, 625, 583
• GCD of 349, 609, 239, 378

Given numbers are 920, 768, 943, 977
The greatest common divisor of numbers 920, 768, 943, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 768, 943, 977 is 1.

1. What is the GCD of 920, 768, 943, 977?

GCD of given numbers 920, 768, 943, 977 is 1

2. How to calculate the greatest common divisor of 920, 768, 943, 977?

We can find the highest common divisor of 920, 768, 943, 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 920, 768, 943, 977 i.e 1.

3. How can I use the GCD of 920, 768, 943, 977Calculator?

Out the numbers 920, 768, 943, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.