GCD of 498, 689, 918, 992 Calculator

Given Input numbers are 498, 689, 918, 992

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

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

GCD of numbers is the greatest common divisor

So, the GCD (498, 689, 918, 992) = 1.

Given numbers are 498, 689, 918, 992

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 689 are 13 x 53

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 992 are 2 x 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 498, 689, 918, 992

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

Apply this formula for all numbers.

Step1:

LCM(498, 689) = 343122

GCD(498, 689) = ( 498 x 689 ) / 343122

= 498 / 689

= 498

Step2:

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

= 1 / 918

= 1

Step3:

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

= 1 / 992

= 1

So, Greatest Common Divisor of 498, 689, 918, 992 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 896, 818, 209, 283
• GCD of 433, 509, 674, 372
• GCD of 737, 257, 157, 537
• GCD of 863, 895, 657, 566
• GCD of 901, 554, 431, 518

Given numbers are 498, 689, 918, 992
The greatest common divisor of numbers 498, 689, 918, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 689, 918, 992 is 1.

1. What is the GCD of 498, 689, 918, 992?

GCD of given numbers 498, 689, 918, 992 is 1

2. How to calculate the greatest common divisor of 498, 689, 918, 992?

We can find the highest common divisor of 498, 689, 918, 992 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 498, 689, 918, 992 i.e 1.

3. How can I use the GCD of 498, 689, 918, 992Calculator?

Out the numbers 498, 689, 918, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.