GCD of 798, 628, 294, 528 Calculator

Given Input numbers are 798, 628, 294, 528

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

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

GCD of numbers is the greatest common divisor

So, the GCD (798, 628, 294, 528) = 2.

Given numbers are 798, 628, 294, 528

The list of prime factors of all numbers are

Prime factors of 798 are 2 x 3 x 7 x 19

Prime factors of 628 are 2 x 2 x 157

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 798, 628, 294, 528 is 2.

Given numbers are 798, 628, 294, 528

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

Apply this formula for all numbers.

Step1:

LCM(798, 628) = 250572

GCD(798, 628) = ( 798 x 628 ) / 250572

= 798 / 628

= 798

Step2:

LCM(2, 294) = 294

GCD(2, 294) = ( 2 x 294 ) / 294

= 2 / 294

= 2

Step3:

LCM(2, 528) = 528

GCD(2, 528) = ( 2 x 528 ) / 528

= 2 / 528

= 2

So, Greatest Common Divisor of 798, 628, 294, 528 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 346, 782, 677, 618
• GCD of 758, 137, 140, 280
• GCD of 582, 816, 311, 683
• GCD of 768, 343, 972, 852
• GCD of 867, 488, 809, 913

Given numbers are 798, 628, 294, 528
The greatest common divisor of numbers 798, 628, 294, 528 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 798, 628, 294, 528 is 2.

1. What is the GCD of 798, 628, 294, 528?

GCD of given numbers 798, 628, 294, 528 is 2

2. How to calculate the greatest common divisor of 798, 628, 294, 528?

We can find the highest common divisor of 798, 628, 294, 528 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 798, 628, 294, 528 i.e 2.

3. How can I use the GCD of 798, 628, 294, 528Calculator?

Out the numbers 798, 628, 294, 528 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.