GCD of 506, 340, 364 Calculator

Given Input numbers are 506, 340, 364

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 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (506, 340, 364) = 2.

Given numbers are 506, 340, 364

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 364 are 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 506, 340, 364 is 2.

Given numbers are 506, 340, 364

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

Apply this formula for all numbers.

Step1:

LCM(506, 340) = 86020

GCD(506, 340) = ( 506 x 340 ) / 86020

= 506 / 340

= 506

Step2:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

So, Greatest Common Divisor of 506, 340, 364 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 618, 487, 883
• GCD of 796, 408, 140
• GCD of 523, 184, 358
• GCD of 648, 269, 530
• GCD of 198, 308, 994

Given numbers are 506, 340, 364
The greatest common divisor of numbers 506, 340, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 340, 364 is 2.

1. What is the GCD of 506, 340, 364?

GCD of given numbers 506, 340, 364 is 2

2. How to calculate the greatest common divisor of 506, 340, 364?

We can find the highest common divisor of 506, 340, 364 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, 340, 364 i.e 2.

3. How can I use the GCD of 506, 340, 364Calculator?

Out the numbers 506, 340, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.