GCD of 496, 614, 370, 500 Calculator

Given Input numbers are 496, 614, 370, 500

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 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

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

GCD of numbers is the greatest common divisor

So, the GCD (496, 614, 370, 500) = 2.

Given numbers are 496, 614, 370, 500

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 370 are 2 x 5 x 37

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

The highest common occurrence is 2¹

Therefore, GCD of 496, 614, 370, 500 is 2.

Given numbers are 496, 614, 370, 500

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, 370) = 370

GCD(2, 370) = ( 2 x 370 ) / 370

= 2 / 370

= 2

Step3:

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

= 2 / 500

= 2

So, Greatest Common Divisor of 496, 614, 370, 500 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 797, 277, 103, 911
• GCD of 128, 595, 627, 679
• GCD of 370, 784, 750, 535
• GCD of 368, 188, 583, 697
• GCD of 584, 590, 722, 608

Given numbers are 496, 614, 370, 500
The greatest common divisor of numbers 496, 614, 370, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 614, 370, 500 is 2.

1. What is the GCD of 496, 614, 370, 500?

GCD of given numbers 496, 614, 370, 500 is 2

2. How to calculate the greatest common divisor of 496, 614, 370, 500?

We can find the highest common divisor of 496, 614, 370, 500 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, 370, 500 i.e 2.

3. How can I use the GCD of 496, 614, 370, 500Calculator?

Out the numbers 496, 614, 370, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.