GCD of 994, 722, 378 Calculator

Given Input numbers are 994, 722, 378

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

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (994, 722, 378) = 2.

Given numbers are 994, 722, 378

The list of prime factors of all numbers are

Prime factors of 994 are 2 x 7 x 71

Prime factors of 722 are 2 x 19 x 19

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 994, 722, 378 is 2.

Given numbers are 994, 722, 378

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

Apply this formula for all numbers.

Step1:

LCM(994, 722) = 358834

GCD(994, 722) = ( 994 x 722 ) / 358834

= 994 / 722

= 994

Step2:

LCM(2, 378) = 378

GCD(2, 378) = ( 2 x 378 ) / 378

= 2 / 378

= 2

So, Greatest Common Divisor of 994, 722, 378 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 648, 400, 252
• GCD of 208, 822, 112
• GCD of 990, 545, 553
• GCD of 270, 531, 677
• GCD of 494, 419, 916

Given numbers are 994, 722, 378
The greatest common divisor of numbers 994, 722, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 994, 722, 378 is 2.

1. What is the GCD of 994, 722, 378?

GCD of given numbers 994, 722, 378 is 2

2. How to calculate the greatest common divisor of 994, 722, 378?

We can find the highest common divisor of 994, 722, 378 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 994, 722, 378 i.e 2.

3. How can I use the GCD of 994, 722, 378Calculator?

Out the numbers 994, 722, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.