GCD of 998, 513, 724, 991 Calculator

Given Input numbers are 998, 513, 724, 991

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 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 991 :

The positive integer divisors of 991 that completely divides 991 are.

1, 991

GCD of numbers is the greatest common divisor

So, the GCD (998, 513, 724, 991) = 1.

Given numbers are 998, 513, 724, 991

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 724 are 2 x 2 x 181

Prime factors of 991 are 991

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

Given numbers are 998, 513, 724, 991

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

Apply this formula for all numbers.

Step1:

LCM(998, 513) = 511974

GCD(998, 513) = ( 998 x 513 ) / 511974

= 998 / 513

= 998

Step2:

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

= 1 / 724

= 1

Step3:

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

= 1 / 991

= 1

So, Greatest Common Divisor of 998, 513, 724, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 282, 619, 251, 367
• GCD of 596, 204, 934, 955
• GCD of 494, 635, 990, 461
• GCD of 935, 208, 270, 150
• GCD of 558, 502, 287, 885

Given numbers are 998, 513, 724, 991
The greatest common divisor of numbers 998, 513, 724, 991 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 513, 724, 991 is 1.

1. What is the GCD of 998, 513, 724, 991?

GCD of given numbers 998, 513, 724, 991 is 1

2. How to calculate the greatest common divisor of 998, 513, 724, 991?

We can find the highest common divisor of 998, 513, 724, 991 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, 513, 724, 991 i.e 1.

3. How can I use the GCD of 998, 513, 724, 991Calculator?

Out the numbers 998, 513, 724, 991 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.