GCD of 678, 763, 102, 684 Calculator

Given Input numbers are 678, 763, 102, 684

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 763 :

The positive integer divisors of 763 that completely divides 763 are.

1, 7, 109, 763

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (678, 763, 102, 684) = 1.

Given numbers are 678, 763, 102, 684

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 763 are 7 x 109

Prime factors of 102 are 2 x 3 x 17

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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

Given numbers are 678, 763, 102, 684

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

Apply this formula for all numbers.

Step1:

LCM(678, 763) = 517314

GCD(678, 763) = ( 678 x 763 ) / 517314

= 678 / 763

= 678

Step2:

LCM(1, 102) = 102

GCD(1, 102) = ( 1 x 102 ) / 102

= 1 / 102

= 1

Step3:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1

So, Greatest Common Divisor of 678, 763, 102, 684 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 955, 962, 763, 725
• GCD of 307, 160, 628, 787
• GCD of 203, 279, 311, 710
• GCD of 720, 306, 442, 503
• GCD of 440, 626, 653, 750

Given numbers are 678, 763, 102, 684
The greatest common divisor of numbers 678, 763, 102, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 763, 102, 684 is 1.

1. What is the GCD of 678, 763, 102, 684?

GCD of given numbers 678, 763, 102, 684 is 1

2. How to calculate the greatest common divisor of 678, 763, 102, 684?

We can find the highest common divisor of 678, 763, 102, 684 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, 763, 102, 684 i.e 1.

3. How can I use the GCD of 678, 763, 102, 684Calculator?

Out the numbers 678, 763, 102, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.