GCD of 794, 498, 396, 564 Calculator

Given Input numbers are 794, 498, 396, 564

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

Divisors of 794 :

The positive integer divisors of 794 that completely divides 794 are.

1, 2, 397, 794

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (794, 498, 396, 564) = 2.

Given numbers are 794, 498, 396, 564

The list of prime factors of all numbers are

Prime factors of 794 are 2 x 397

Prime factors of 498 are 2 x 3 x 83

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 2¹

Therefore, GCD of 794, 498, 396, 564 is 2.

Given numbers are 794, 498, 396, 564

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

Apply this formula for all numbers.

Step1:

LCM(794, 498) = 197706

GCD(794, 498) = ( 794 x 498 ) / 197706

= 794 / 498

= 794

Step2:

LCM(2, 396) = 396

GCD(2, 396) = ( 2 x 396 ) / 396

= 2 / 396

= 2

Step3:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

So, Greatest Common Divisor of 794, 498, 396, 564 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 122, 767, 687, 581
• GCD of 136, 880, 890, 102
• GCD of 125, 183, 627, 681
• GCD of 604, 902, 944, 680
• GCD of 130, 971, 946, 589

Given numbers are 794, 498, 396, 564
The greatest common divisor of numbers 794, 498, 396, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 794, 498, 396, 564 is 2.

1. What is the GCD of 794, 498, 396, 564?

GCD of given numbers 794, 498, 396, 564 is 2

2. How to calculate the greatest common divisor of 794, 498, 396, 564?

We can find the highest common divisor of 794, 498, 396, 564 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 794, 498, 396, 564 i.e 2.

3. How can I use the GCD of 794, 498, 396, 564Calculator?

Out the numbers 794, 498, 396, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.