GCD of 231, 678, 347, 114 Calculator

Given Input numbers are 231, 678, 347, 114

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

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 347 :

The positive integer divisors of 347 that completely divides 347 are.

1, 347

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 (231, 678, 347, 114) = 1.

Given numbers are 231, 678, 347, 114

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 678 are 2 x 3 x 113

Prime factors of 347 are 347

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 231, 678, 347, 114

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

Apply this formula for all numbers.

Step1:

LCM(231, 678) = 52206

GCD(231, 678) = ( 231 x 678 ) / 52206

= 231 / 678

= 231

Step2:

LCM(3, 347) = 1041

GCD(3, 347) = ( 3 x 347 ) / 1041

= 3 / 347

= 3

Step3:

LCM(1, 114) = 114

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

= 1 / 114

= 1

So, Greatest Common Divisor of 231, 678, 347, 114 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 195, 654, 385, 108
• GCD of 221, 707, 325, 150
• GCD of 265, 857, 473, 545
• GCD of 250, 526, 841, 302
• GCD of 387, 226, 996, 518

Given numbers are 231, 678, 347, 114
The greatest common divisor of numbers 231, 678, 347, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 678, 347, 114 is 1.

1. What is the GCD of 231, 678, 347, 114?

GCD of given numbers 231, 678, 347, 114 is 1

2. How to calculate the greatest common divisor of 231, 678, 347, 114?

We can find the highest common divisor of 231, 678, 347, 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 231, 678, 347, 114 i.e 1.

3. How can I use the GCD of 231, 678, 347, 114Calculator?

Out the numbers 231, 678, 347, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.