GCD of 998, 747, 924, 960 Calculator

Given Input numbers are 998, 747, 924, 960

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

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (998, 747, 924, 960) = 1.

Given numbers are 998, 747, 924, 960

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 747 are 3 x 3 x 83

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 998, 747, 924, 960

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

Apply this formula for all numbers.

Step1:

LCM(998, 747) = 745506

GCD(998, 747) = ( 998 x 747 ) / 745506

= 998 / 747

= 998

Step2:

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

= 1 / 924

= 1

Step3:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1

So, Greatest Common Divisor of 998, 747, 924, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 133, 905, 616, 659
• GCD of 938, 933, 600, 644
• GCD of 506, 825, 265, 914
• GCD of 476, 374, 845, 476
• GCD of 310, 887, 764, 129

Given numbers are 998, 747, 924, 960
The greatest common divisor of numbers 998, 747, 924, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 747, 924, 960 is 1.

1. What is the GCD of 998, 747, 924, 960?

GCD of given numbers 998, 747, 924, 960 is 1

2. How to calculate the greatest common divisor of 998, 747, 924, 960?

We can find the highest common divisor of 998, 747, 924, 960 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 998, 747, 924, 960 i.e 1.

3. How can I use the GCD of 998, 747, 924, 960Calculator?

Out the numbers 998, 747, 924, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.