GCD of 508, 628, 506, 849 Calculator

Given Input numbers are 508, 628, 506, 849

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 628 :

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

1, 2, 4, 157, 314, 628

Divisors of 506 :

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

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

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

GCD of numbers is the greatest common divisor

So, the GCD (508, 628, 506, 849) = 1.

Given numbers are 508, 628, 506, 849

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 628 are 2 x 2 x 157

Prime factors of 506 are 2 x 11 x 23

Prime factors of 849 are 3 x 283

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

Given numbers are 508, 628, 506, 849

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

Apply this formula for all numbers.

Step1:

LCM(508, 628) = 79756

GCD(508, 628) = ( 508 x 628 ) / 79756

= 508 / 628

= 508

Step2:

LCM(4, 506) = 1012

GCD(4, 506) = ( 4 x 506 ) / 1012

= 4 / 506

= 4

Step3:

LCM(2, 849) = 1698

GCD(2, 849) = ( 2 x 849 ) / 1698

= 2 / 849

= 2

So, Greatest Common Divisor of 508, 628, 506, 849 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 862, 235, 884, 802
• GCD of 440, 363, 934, 410
• GCD of 583, 519, 400, 633
• GCD of 541, 643, 464, 290
• GCD of 725, 955, 380, 849

Given numbers are 508, 628, 506, 849
The greatest common divisor of numbers 508, 628, 506, 849 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 628, 506, 849 is 1.

1. What is the GCD of 508, 628, 506, 849?

GCD of given numbers 508, 628, 506, 849 is 1

2. How to calculate the greatest common divisor of 508, 628, 506, 849?

We can find the highest common divisor of 508, 628, 506, 849 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 508, 628, 506, 849 i.e 1.

3. How can I use the GCD of 508, 628, 506, 849Calculator?

Out the numbers 508, 628, 506, 849 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.