GCD of 728, 844, 994, 974 Calculator

Given Input numbers are 728, 844, 994, 974

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

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

Divisors of 994 :

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

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

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

GCD of numbers is the greatest common divisor

So, the GCD (728, 844, 994, 974) = 2.

Given numbers are 728, 844, 994, 974

The list of prime factors of all numbers are

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 844 are 2 x 2 x 211

Prime factors of 994 are 2 x 7 x 71

Prime factors of 974 are 2 x 487

The highest common occurrence is 2¹

Therefore, GCD of 728, 844, 994, 974 is 2.

Given numbers are 728, 844, 994, 974

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

Apply this formula for all numbers.

Step1:

LCM(728, 844) = 153608

GCD(728, 844) = ( 728 x 844 ) / 153608

= 728 / 844

= 728

Step2:

LCM(4, 994) = 1988

GCD(4, 994) = ( 4 x 994 ) / 1988

= 4 / 994

= 4

Step3:

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

= 2 / 974

= 2

So, Greatest Common Divisor of 728, 844, 994, 974 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 504, 412, 220, 828
• GCD of 314, 258, 214, 674
• GCD of 666, 641, 142, 291
• GCD of 649, 819, 375, 764
• GCD of 500, 532, 475, 269

Given numbers are 728, 844, 994, 974
The greatest common divisor of numbers 728, 844, 994, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 844, 994, 974 is 2.

1. What is the GCD of 728, 844, 994, 974?

GCD of given numbers 728, 844, 994, 974 is 2

2. How to calculate the greatest common divisor of 728, 844, 994, 974?

We can find the highest common divisor of 728, 844, 994, 974 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 728, 844, 994, 974 i.e 2.

3. How can I use the GCD of 728, 844, 994, 974Calculator?

Out the numbers 728, 844, 994, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.