GCD of 506, 844, 628, 917 Calculator

Given Input numbers are 506, 844, 628, 917

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

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 844 :

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

1, 2, 4, 211, 422, 844

Divisors of 628 :

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

1, 2, 4, 157, 314, 628

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

GCD of numbers is the greatest common divisor

So, the GCD (506, 844, 628, 917) = 1.

Given numbers are 506, 844, 628, 917

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 844 are 2 x 2 x 211

Prime factors of 628 are 2 x 2 x 157

Prime factors of 917 are 7 x 131

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 506, 844, 628, 917

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

Apply this formula for all numbers.

Step1:

LCM(506, 844) = 213532

GCD(506, 844) = ( 506 x 844 ) / 213532

= 506 / 844

= 506

Step2:

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

= 2 / 628

= 2

Step3:

LCM(2, 917) = 1834

GCD(2, 917) = ( 2 x 917 ) / 1834

= 2 / 917

= 2

So, Greatest Common Divisor of 506, 844, 628, 917 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 314, 885, 122, 190
• GCD of 945, 181, 682, 457
• GCD of 555, 648, 456, 559
• GCD of 496, 518, 710, 823
• GCD of 705, 739, 179, 978

Given numbers are 506, 844, 628, 917
The greatest common divisor of numbers 506, 844, 628, 917 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 844, 628, 917 is 1.

1. What is the GCD of 506, 844, 628, 917?

GCD of given numbers 506, 844, 628, 917 is 1

2. How to calculate the greatest common divisor of 506, 844, 628, 917?

We can find the highest common divisor of 506, 844, 628, 917 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 506, 844, 628, 917 i.e 1.

3. How can I use the GCD of 506, 844, 628, 917Calculator?

Out the numbers 506, 844, 628, 917 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.