GCD of 678, 987, 952, 231 Calculator

Given Input numbers are 678, 987, 952, 231

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

Divisors of 678 :

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

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

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 231 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (678, 987, 952, 231) = 1.

Given numbers are 678, 987, 952, 231

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 987 are 3 x 7 x 47

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 231 are 3 x 7 x 11

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

Given numbers are 678, 987, 952, 231

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

Apply this formula for all numbers.

Step1:

LCM(678, 987) = 223062

GCD(678, 987) = ( 678 x 987 ) / 223062

= 678 / 987

= 678

Step2:

LCM(3, 952) = 2856

GCD(3, 952) = ( 3 x 952 ) / 2856

= 3 / 952

= 3

Step3:

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

= 1 / 231

= 1

So, Greatest Common Divisor of 678, 987, 952, 231 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 578, 259, 668, 862
• GCD of 835, 254, 801, 512
• GCD of 902, 346, 270, 226
• GCD of 153, 861, 459, 595
• GCD of 600, 191, 731, 284

Given numbers are 678, 987, 952, 231
The greatest common divisor of numbers 678, 987, 952, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 987, 952, 231 is 1.

1. What is the GCD of 678, 987, 952, 231?

GCD of given numbers 678, 987, 952, 231 is 1

2. How to calculate the greatest common divisor of 678, 987, 952, 231?

We can find the highest common divisor of 678, 987, 952, 231 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 678, 987, 952, 231 i.e 1.

3. How can I use the GCD of 678, 987, 952, 231Calculator?

Out the numbers 678, 987, 952, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.