GCD of 380, 734, 992 Calculator

Given Input numbers are 380, 734, 992

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

GCD of numbers is the greatest common divisor

So, the GCD (380, 734, 992) = 2.

Given numbers are 380, 734, 992

The list of prime factors of all numbers are

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 734 are 2 x 367

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 380, 734, 992 is 2.

Given numbers are 380, 734, 992

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

Apply this formula for all numbers.

Step1:

LCM(380, 734) = 139460

GCD(380, 734) = ( 380 x 734 ) / 139460

= 380 / 734

= 380

Step2:

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

= 2 / 992

= 2

So, Greatest Common Divisor of 380, 734, 992 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 573, 530, 836
• GCD of 987, 868, 759
• GCD of 921, 499, 455
• GCD of 450, 178, 998
• GCD of 188, 357, 442

Given numbers are 380, 734, 992
The greatest common divisor of numbers 380, 734, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 734, 992 is 2.

1. What is the GCD of 380, 734, 992?

GCD of given numbers 380, 734, 992 is 2

2. How to calculate the greatest common divisor of 380, 734, 992?

We can find the highest common divisor of 380, 734, 992 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 380, 734, 992 i.e 2.

3. How can I use the GCD of 380, 734, 992Calculator?

Out the numbers 380, 734, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.