GCD of 109, 375, 78, 684 Calculator

Given Input numbers are 109, 375, 78, 684

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

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 78 :

The positive integer divisors of 78 that completely divides 78 are.

1, 2, 3, 6, 13, 26, 39, 78

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 (109, 375, 78, 684) = 1.

Given numbers are 109, 375, 78, 684

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 78 are 2 x 3 x 13

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 109, 375, 78, 684

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

Apply this formula for all numbers.

Step1:

LCM(109, 375) = 40875

GCD(109, 375) = ( 109 x 375 ) / 40875

= 109 / 375

= 109

Step2:

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

= 1 / 78

= 1

Step3:

LCM(1, 684) = 684

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

= 1 / 684

= 1

So, Greatest Common Divisor of 109, 375, 78, 684 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 319, 284, 29, 875
• GCD of 861, 149, 50, 452
• GCD of 969, 935, 95, 209
• GCD of 565, 960, 99, 267
• GCD of 339, 997, 63, 620

Given numbers are 109, 375, 78, 684
The greatest common divisor of numbers 109, 375, 78, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 375, 78, 684 is 1.

1. What is the GCD of 109, 375, 78, 684?

GCD of given numbers 109, 375, 78, 684 is 1

2. How to calculate the greatest common divisor of 109, 375, 78, 684?

We can find the highest common divisor of 109, 375, 78, 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 109, 375, 78, 684 i.e 1.

3. How can I use the GCD of 109, 375, 78, 684Calculator?

Out the numbers 109, 375, 78, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.