GCD of 460, 502, 364 Calculator

Given Input numbers are 460, 502, 364

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

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 (460, 502, 364) = 2.

Given numbers are 460, 502, 364

The list of prime factors of all numbers are

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 502 are 2 x 251

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

The highest common occurrence is 2¹

Therefore, GCD of 460, 502, 364 is 2.

Given numbers are 460, 502, 364

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

Apply this formula for all numbers.

Step1:

LCM(460, 502) = 115460

GCD(460, 502) = ( 460 x 502 ) / 115460

= 460 / 502

= 460

Step2:

LCM(2, 364) = 364

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

= 2 / 364

= 2

So, Greatest Common Divisor of 460, 502, 364 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 291, 466, 114
• GCD of 696, 808, 570
• GCD of 626, 625, 597
• GCD of 182, 427, 907
• GCD of 697, 628, 918

Given numbers are 460, 502, 364
The greatest common divisor of numbers 460, 502, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 502, 364 is 2.

1. What is the GCD of 460, 502, 364?

GCD of given numbers 460, 502, 364 is 2

2. How to calculate the greatest common divisor of 460, 502, 364?

We can find the highest common divisor of 460, 502, 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 460, 502, 364 i.e 2.

3. How can I use the GCD of 460, 502, 364Calculator?

Out the numbers 460, 502, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.