GCD of 427, 342, 998, 114 Calculator

Given Input numbers are 427, 342, 998, 114

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

Divisors of 427 :

The positive integer divisors of 427 that completely divides 427 are.

1, 7, 61, 427

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

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

GCD of numbers is the greatest common divisor

So, the GCD (427, 342, 998, 114) = 1.

Given numbers are 427, 342, 998, 114

The list of prime factors of all numbers are

Prime factors of 427 are 7 x 61

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 998 are 2 x 499

Prime factors of 114 are 2 x 3 x 19

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

Given numbers are 427, 342, 998, 114

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

Apply this formula for all numbers.

Step1:

LCM(427, 342) = 146034

GCD(427, 342) = ( 427 x 342 ) / 146034

= 427 / 342

= 427

Step2:

LCM(1, 998) = 998

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

= 1 / 998

= 1

Step3:

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

= 1 / 114

= 1

So, Greatest Common Divisor of 427, 342, 998, 114 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 690, 263, 536, 408
• GCD of 807, 730, 749, 272
• GCD of 527, 352, 460, 211
• GCD of 202, 697, 763, 378
• GCD of 640, 478, 910, 390

Given numbers are 427, 342, 998, 114
The greatest common divisor of numbers 427, 342, 998, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 427, 342, 998, 114 is 1.

1. What is the GCD of 427, 342, 998, 114?

GCD of given numbers 427, 342, 998, 114 is 1

2. How to calculate the greatest common divisor of 427, 342, 998, 114?

We can find the highest common divisor of 427, 342, 998, 114 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 427, 342, 998, 114 i.e 1.

3. How can I use the GCD of 427, 342, 998, 114Calculator?

Out the numbers 427, 342, 998, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.