GCD of 794, 316, 598, 584 Calculator

Given Input numbers are 794, 316, 598, 584

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 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

GCD of numbers is the greatest common divisor

So, the GCD (794, 316, 598, 584) = 2.

Given numbers are 794, 316, 598, 584

The list of prime factors of all numbers are

Prime factors of 794 are 2 x 397

Prime factors of 316 are 2 x 2 x 79

Prime factors of 598 are 2 x 13 x 23

Prime factors of 584 are 2 x 2 x 2 x 73

The highest common occurrence is 2¹

Therefore, GCD of 794, 316, 598, 584 is 2.

Given numbers are 794, 316, 598, 584

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

Apply this formula for all numbers.

Step1:

LCM(794, 316) = 125452

GCD(794, 316) = ( 794 x 316 ) / 125452

= 794 / 316

= 794

Step2:

LCM(2, 598) = 598

GCD(2, 598) = ( 2 x 598 ) / 598

= 2 / 598

= 2

Step3:

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

= 2 / 584

= 2

So, Greatest Common Divisor of 794, 316, 598, 584 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 997, 918, 150, 895
• GCD of 898, 874, 322, 359
• GCD of 625, 940, 942, 133
• GCD of 199, 798, 168, 398
• GCD of 225, 919, 370, 503

Given numbers are 794, 316, 598, 584
The greatest common divisor of numbers 794, 316, 598, 584 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 794, 316, 598, 584 is 2.

1. What is the GCD of 794, 316, 598, 584?

GCD of given numbers 794, 316, 598, 584 is 2

2. How to calculate the greatest common divisor of 794, 316, 598, 584?

We can find the highest common divisor of 794, 316, 598, 584 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, 316, 598, 584 i.e 2.

3. How can I use the GCD of 794, 316, 598, 584Calculator?

Out the numbers 794, 316, 598, 584 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.