GCD of 364, 740, 392 Calculator

Given Input numbers are 364, 740, 392

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

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 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 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

GCD of numbers is the greatest common divisor

So, the GCD (364, 740, 392) = 4.

Given numbers are 364, 740, 392

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

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

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

The highest common occurrence is 2²

Therefore, GCD of 364, 740, 392 is 4.

Given numbers are 364, 740, 392

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

Apply this formula for all numbers.

Step1:

LCM(364, 740) = 67340

GCD(364, 740) = ( 364 x 740 ) / 67340

= 364 / 740

= 364

Step2:

LCM(4, 392) = 392

GCD(4, 392) = ( 4 x 392 ) / 392

= 4 / 392

= 4

So, Greatest Common Divisor of 364, 740, 392 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 578, 485, 691
• GCD of 758, 909, 454
• GCD of 578, 718, 442
• GCD of 216, 757, 122
• GCD of 103, 250, 541

Given numbers are 364, 740, 392
The greatest common divisor of numbers 364, 740, 392 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 740, 392 is 4.

1. What is the GCD of 364, 740, 392?

GCD of given numbers 364, 740, 392 is 4

2. How to calculate the greatest common divisor of 364, 740, 392?

We can find the highest common divisor of 364, 740, 392 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 364, 740, 392 i.e 4.

3. How can I use the GCD of 364, 740, 392Calculator?

Out the numbers 364, 740, 392 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.