GCD of 998, 114, 71, 368 Calculator

Given Input numbers are 998, 114, 71, 368

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 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 71 :

The positive integer divisors of 71 that completely divides 71 are.

1, 71

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

GCD of numbers is the greatest common divisor

So, the GCD (998, 114, 71, 368) = 1.

Given numbers are 998, 114, 71, 368

The list of prime factors of all numbers are

Prime factors of 998 are 2 x 499

Prime factors of 114 are 2 x 3 x 19

Prime factors of 71 are 71

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

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

Given numbers are 998, 114, 71, 368

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

Apply this formula for all numbers.

Step1:

LCM(998, 114) = 56886

GCD(998, 114) = ( 998 x 114 ) / 56886

= 998 / 114

= 998

Step2:

LCM(2, 71) = 142

GCD(2, 71) = ( 2 x 71 ) / 142

= 2 / 71

= 2

Step3:

LCM(1, 368) = 368

GCD(1, 368) = ( 1 x 368 ) / 368

= 1 / 368

= 1

So, Greatest Common Divisor of 998, 114, 71, 368 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 991, 969, 22, 636
• GCD of 307, 549, 84, 308
• GCD of 294, 933, 84, 477
• GCD of 870, 411, 98, 726
• GCD of 482, 294, 98, 214

Given numbers are 998, 114, 71, 368
The greatest common divisor of numbers 998, 114, 71, 368 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 114, 71, 368 is 1.

1. What is the GCD of 998, 114, 71, 368?

GCD of given numbers 998, 114, 71, 368 is 1

2. How to calculate the greatest common divisor of 998, 114, 71, 368?

We can find the highest common divisor of 998, 114, 71, 368 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, 114, 71, 368 i.e 1.

3. How can I use the GCD of 998, 114, 71, 368Calculator?

Out the numbers 998, 114, 71, 368 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.