GCD of 138, 271, 303, 998 Calculator

Given Input numbers are 138, 271, 303, 998

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

Divisors of 138 :

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

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

Divisors of 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 998 :

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

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (138, 271, 303, 998) = 1.

Given numbers are 138, 271, 303, 998

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 271 are 271

Prime factors of 303 are 3 x 101

Prime factors of 998 are 2 x 499

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

Given numbers are 138, 271, 303, 998

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

Apply this formula for all numbers.

Step1:

LCM(138, 271) = 37398

GCD(138, 271) = ( 138 x 271 ) / 37398

= 138 / 271

= 138

Step2:

LCM(1, 303) = 303

GCD(1, 303) = ( 1 x 303 ) / 303

= 1 / 303

= 1

Step3:

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

= 1 / 998

= 1

So, Greatest Common Divisor of 138, 271, 303, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 932, 914, 432, 997
• GCD of 388, 317, 250, 205
• GCD of 588, 105, 441, 714
• GCD of 390, 527, 838, 250
• GCD of 935, 114, 126, 880

Given numbers are 138, 271, 303, 998
The greatest common divisor of numbers 138, 271, 303, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 271, 303, 998 is 1.

1. What is the GCD of 138, 271, 303, 998?

GCD of given numbers 138, 271, 303, 998 is 1

2. How to calculate the greatest common divisor of 138, 271, 303, 998?

We can find the highest common divisor of 138, 271, 303, 998 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 138, 271, 303, 998 i.e 1.

3. How can I use the GCD of 138, 271, 303, 998Calculator?

Out the numbers 138, 271, 303, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.