GCD of 992, 380, 852 Calculator

Given Input numbers are 992, 380, 852

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

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

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 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

GCD of numbers is the greatest common divisor

So, the GCD (992, 380, 852) = 4.

Given numbers are 992, 380, 852

The list of prime factors of all numbers are

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

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

Prime factors of 852 are 2 x 2 x 3 x 71

The highest common occurrence is 2²

Therefore, GCD of 992, 380, 852 is 4.

Given numbers are 992, 380, 852

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

Apply this formula for all numbers.

Step1:

LCM(992, 380) = 94240

GCD(992, 380) = ( 992 x 380 ) / 94240

= 992 / 380

= 992

Step2:

LCM(4, 852) = 852

GCD(4, 852) = ( 4 x 852 ) / 852

= 4 / 852

= 4

So, Greatest Common Divisor of 992, 380, 852 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 720, 491, 590
• GCD of 580, 800, 670
• GCD of 528, 446, 708
• GCD of 123, 402, 102
• GCD of 645, 137, 209

Given numbers are 992, 380, 852
The greatest common divisor of numbers 992, 380, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 380, 852 is 4.

1. What is the GCD of 992, 380, 852?

GCD of given numbers 992, 380, 852 is 4

2. How to calculate the greatest common divisor of 992, 380, 852?

We can find the highest common divisor of 992, 380, 852 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 992, 380, 852 i.e 4.

3. How can I use the GCD of 992, 380, 852Calculator?

Out the numbers 992, 380, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.