GCD of 309, 500, 548, 802 Calculator

Given Input numbers are 309, 500, 548, 802

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

Divisors of 309 :

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

1, 3, 103, 309

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 802 :

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

1, 2, 401, 802

GCD of numbers is the greatest common divisor

So, the GCD (309, 500, 548, 802) = 1.

Given numbers are 309, 500, 548, 802

The list of prime factors of all numbers are

Prime factors of 309 are 3 x 103

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 548 are 2 x 2 x 137

Prime factors of 802 are 2 x 401

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

Given numbers are 309, 500, 548, 802

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

Apply this formula for all numbers.

Step1:

LCM(309, 500) = 154500

GCD(309, 500) = ( 309 x 500 ) / 154500

= 309 / 500

= 309

Step2:

LCM(1, 548) = 548

GCD(1, 548) = ( 1 x 548 ) / 548

= 1 / 548

= 1

Step3:

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

= 1 / 802

= 1

So, Greatest Common Divisor of 309, 500, 548, 802 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 264, 853, 163, 516
• GCD of 655, 672, 225, 913
• GCD of 744, 370, 474, 708
• GCD of 895, 987, 721, 995
• GCD of 625, 652, 972, 485

Given numbers are 309, 500, 548, 802
The greatest common divisor of numbers 309, 500, 548, 802 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 309, 500, 548, 802 is 1.

1. What is the GCD of 309, 500, 548, 802?

GCD of given numbers 309, 500, 548, 802 is 1

2. How to calculate the greatest common divisor of 309, 500, 548, 802?

We can find the highest common divisor of 309, 500, 548, 802 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 309, 500, 548, 802 i.e 1.

3. How can I use the GCD of 309, 500, 548, 802Calculator?

Out the numbers 309, 500, 548, 802 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.