GCD of 987, 743, 18, 496 Calculator

Given Input numbers are 987, 743, 18, 496

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

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

Divisors of 18 :

The positive integer divisors of 18 that completely divides 18 are.

1, 2, 3, 6, 9, 18

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

GCD of numbers is the greatest common divisor

So, the GCD (987, 743, 18, 496) = 1.

Given numbers are 987, 743, 18, 496

The list of prime factors of all numbers are

Prime factors of 987 are 3 x 7 x 47

Prime factors of 743 are 743

Prime factors of 18 are 2 x 3 x 3

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

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

Given numbers are 987, 743, 18, 496

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

Apply this formula for all numbers.

Step1:

LCM(987, 743) = 733341

GCD(987, 743) = ( 987 x 743 ) / 733341

= 987 / 743

= 987

Step2:

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

= 1 / 18

= 1

Step3:

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

= 1 / 496

= 1

So, Greatest Common Divisor of 987, 743, 18, 496 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 574, 521, 58, 445
• GCD of 931, 344, 79, 311
• GCD of 411, 366, 69, 387
• GCD of 100, 949, 65, 565
• GCD of 839, 578, 68, 694

Given numbers are 987, 743, 18, 496
The greatest common divisor of numbers 987, 743, 18, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 743, 18, 496 is 1.

1. What is the GCD of 987, 743, 18, 496?

GCD of given numbers 987, 743, 18, 496 is 1

2. How to calculate the greatest common divisor of 987, 743, 18, 496?

We can find the highest common divisor of 987, 743, 18, 496 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 987, 743, 18, 496 i.e 1.

3. How can I use the GCD of 987, 743, 18, 496Calculator?

Out the numbers 987, 743, 18, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.