GCD of 384, 740, 108, 692 Calculator

Given Input numbers are 384, 740, 108, 692

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

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

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

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 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

GCD of numbers is the greatest common divisor

So, the GCD (384, 740, 108, 692) = 4.

Given numbers are 384, 740, 108, 692

The list of prime factors of all numbers are

Prime factors of 384 are 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

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

Prime factors of 692 are 2 x 2 x 173

The highest common occurrence is 2²

Therefore, GCD of 384, 740, 108, 692 is 4.

Given numbers are 384, 740, 108, 692

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

Apply this formula for all numbers.

Step1:

LCM(384, 740) = 71040

GCD(384, 740) = ( 384 x 740 ) / 71040

= 384 / 740

= 384

Step2:

LCM(4, 108) = 108

GCD(4, 108) = ( 4 x 108 ) / 108

= 4 / 108

= 4

Step3:

LCM(4, 692) = 692

GCD(4, 692) = ( 4 x 692 ) / 692

= 4 / 692

= 4

So, Greatest Common Divisor of 384, 740, 108, 692 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 777, 671, 154, 291
• GCD of 722, 836, 250, 421
• GCD of 431, 738, 135, 327
• GCD of 169, 281, 140, 496
• GCD of 173, 436, 183, 661

Given numbers are 384, 740, 108, 692
The greatest common divisor of numbers 384, 740, 108, 692 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 740, 108, 692 is 4.

1. What is the GCD of 384, 740, 108, 692?

GCD of given numbers 384, 740, 108, 692 is 4

2. How to calculate the greatest common divisor of 384, 740, 108, 692?

We can find the highest common divisor of 384, 740, 108, 692 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 384, 740, 108, 692 i.e 4.

3. How can I use the GCD of 384, 740, 108, 692Calculator?

Out the numbers 384, 740, 108, 692 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.