GCD of 496, 614, 364 Calculator

Given Input numbers are 496, 614, 364

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

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 (496, 614, 364) = 2.

Given numbers are 496, 614, 364

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 614 are 2 x 307

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

The highest common occurrence is 2¹

Therefore, GCD of 496, 614, 364 is 2.

Given numbers are 496, 614, 364

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

Apply this formula for all numbers.

Step1:

LCM(496, 614) = 152272

GCD(496, 614) = ( 496 x 614 ) / 152272

= 496 / 614

= 496

Step2:

LCM(2, 364) = 364

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

= 2 / 364

= 2

So, Greatest Common Divisor of 496, 614, 364 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 828, 110, 700
• GCD of 255, 926, 198
• GCD of 574, 995, 932
• GCD of 967, 547, 952
• GCD of 155, 322, 172

Given numbers are 496, 614, 364
The greatest common divisor of numbers 496, 614, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 614, 364 is 2.

1. What is the GCD of 496, 614, 364?

GCD of given numbers 496, 614, 364 is 2

2. How to calculate the greatest common divisor of 496, 614, 364?

We can find the highest common divisor of 496, 614, 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 496, 614, 364 i.e 2.

3. How can I use the GCD of 496, 614, 364Calculator?

Out the numbers 496, 614, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.