GCD of 998, 680, 259, 138 Calculator

Given Input numbers are 998, 680, 259, 138

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 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 259 :

The positive integer divisors of 259 that completely divides 259 are.

1, 7, 37, 259

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (998, 680, 259, 138) = 1.

Given numbers are 998, 680, 259, 138

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 259 are 7 x 37

Prime factors of 138 are 2 x 3 x 23

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

Given numbers are 998, 680, 259, 138

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

Apply this formula for all numbers.

Step1:

LCM(998, 680) = 339320

GCD(998, 680) = ( 998 x 680 ) / 339320

= 998 / 680

= 998

Step2:

LCM(2, 259) = 518

GCD(2, 259) = ( 2 x 259 ) / 518

= 2 / 259

= 2

Step3:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

So, Greatest Common Divisor of 998, 680, 259, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 124, 883, 813, 352
• GCD of 294, 418, 302, 193
• GCD of 551, 141, 339, 341
• GCD of 654, 703, 489, 997
• GCD of 110, 155, 962, 792

Given numbers are 998, 680, 259, 138
The greatest common divisor of numbers 998, 680, 259, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 680, 259, 138 is 1.

1. What is the GCD of 998, 680, 259, 138?

GCD of given numbers 998, 680, 259, 138 is 1

2. How to calculate the greatest common divisor of 998, 680, 259, 138?

We can find the highest common divisor of 998, 680, 259, 138 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, 680, 259, 138 i.e 1.

3. How can I use the GCD of 998, 680, 259, 138Calculator?

Out the numbers 998, 680, 259, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.