GCD of 108, 364, 768, 740 Calculator

Given Input numbers are 108, 364, 768, 740

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 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

GCD of numbers is the greatest common divisor

So, the GCD (108, 364, 768, 740) = 4.

Given numbers are 108, 364, 768, 740

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 364 are 2 x 2 x 7 x 13

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 740 are 2 x 2 x 5 x 37

The highest common occurrence is 2²

Therefore, GCD of 108, 364, 768, 740 is 4.

Given numbers are 108, 364, 768, 740

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

Apply this formula for all numbers.

Step1:

LCM(108, 364) = 9828

GCD(108, 364) = ( 108 x 364 ) / 9828

= 108 / 364

= 108

Step2:

LCM(4, 768) = 768

GCD(4, 768) = ( 4 x 768 ) / 768

= 4 / 768

= 4

Step3:

LCM(4, 740) = 740

GCD(4, 740) = ( 4 x 740 ) / 740

= 4 / 740

= 4

So, Greatest Common Divisor of 108, 364, 768, 740 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 252, 481, 724, 643
• GCD of 375, 118, 558, 788
• GCD of 914, 922, 196, 970
• GCD of 133, 687, 366, 645
• GCD of 833, 587, 689, 932

Given numbers are 108, 364, 768, 740
The greatest common divisor of numbers 108, 364, 768, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 364, 768, 740 is 4.

1. What is the GCD of 108, 364, 768, 740?

GCD of given numbers 108, 364, 768, 740 is 4

2. How to calculate the greatest common divisor of 108, 364, 768, 740?

We can find the highest common divisor of 108, 364, 768, 740 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, 364, 768, 740 i.e 4.

3. How can I use the GCD of 108, 364, 768, 740Calculator?

Out the numbers 108, 364, 768, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.