GCD of 108, 365, 868, 742 Calculator

Given Input numbers are 108, 365, 868, 742

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (108, 365, 868, 742) = 1.

Given numbers are 108, 365, 868, 742

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 365 are 5 x 73

Prime factors of 868 are 2 x 2 x 7 x 31

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 108, 365, 868, 742

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

Apply this formula for all numbers.

Step1:

LCM(108, 365) = 39420

GCD(108, 365) = ( 108 x 365 ) / 39420

= 108 / 365

= 108

Step2:

LCM(1, 868) = 868

GCD(1, 868) = ( 1 x 868 ) / 868

= 1 / 868

= 1

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 108, 365, 868, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 975, 933, 514, 689
• GCD of 631, 800, 329, 589
• GCD of 802, 391, 992, 630
• GCD of 820, 472, 654, 160
• GCD of 378, 202, 365, 317

Given numbers are 108, 365, 868, 742
The greatest common divisor of numbers 108, 365, 868, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 365, 868, 742 is 1.

1. What is the GCD of 108, 365, 868, 742?

GCD of given numbers 108, 365, 868, 742 is 1

2. How to calculate the greatest common divisor of 108, 365, 868, 742?

We can find the highest common divisor of 108, 365, 868, 742 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 108, 365, 868, 742 i.e 1.

3. How can I use the GCD of 108, 365, 868, 742Calculator?

Out the numbers 108, 365, 868, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.