GCD of 508, 802, 309, 107 Calculator

Given Input numbers are 508, 802, 309, 107

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 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

GCD of numbers is the greatest common divisor

So, the GCD (508, 802, 309, 107) = 1.

Given numbers are 508, 802, 309, 107

The list of prime factors of all numbers are

Prime factors of 508 are 2 x 2 x 127

Prime factors of 802 are 2 x 401

Prime factors of 309 are 3 x 103

Prime factors of 107 are 107

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

Given numbers are 508, 802, 309, 107

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

Apply this formula for all numbers.

Step1:

LCM(508, 802) = 203708

GCD(508, 802) = ( 508 x 802 ) / 203708

= 508 / 802

= 508

Step2:

LCM(2, 309) = 618

GCD(2, 309) = ( 2 x 309 ) / 618

= 2 / 309

= 2

Step3:

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

= 1 / 107

= 1

So, Greatest Common Divisor of 508, 802, 309, 107 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 981, 509, 271, 720
• GCD of 578, 915, 872, 262
• GCD of 134, 560, 983, 135
• GCD of 346, 186, 691, 935
• GCD of 640, 654, 906, 828

Given numbers are 508, 802, 309, 107
The greatest common divisor of numbers 508, 802, 309, 107 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 802, 309, 107 is 1.

1. What is the GCD of 508, 802, 309, 107?

GCD of given numbers 508, 802, 309, 107 is 1

2. How to calculate the greatest common divisor of 508, 802, 309, 107?

We can find the highest common divisor of 508, 802, 309, 107 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, 802, 309, 107 i.e 1.

3. How can I use the GCD of 508, 802, 309, 107Calculator?

Out the numbers 508, 802, 309, 107 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.