GCD of 424, 140, 500 Calculator

Given Input numbers are 424, 140, 500

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

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

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 (424, 140, 500) = 4.

Given numbers are 424, 140, 500

The list of prime factors of all numbers are

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 140 are 2 x 2 x 5 x 7

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

The highest common occurrence is 2²

Therefore, GCD of 424, 140, 500 is 4.

Given numbers are 424, 140, 500

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

Apply this formula for all numbers.

Step1:

LCM(424, 140) = 14840

GCD(424, 140) = ( 424 x 140 ) / 14840

= 424 / 140

= 424

Step2:

LCM(4, 500) = 500

GCD(4, 500) = ( 4 x 500 ) / 500

= 4 / 500

= 4

So, Greatest Common Divisor of 424, 140, 500 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 638, 333, 701
• GCD of 412, 536, 887
• GCD of 349, 291, 980
• GCD of 223, 584, 291
• GCD of 864, 551, 763

Given numbers are 424, 140, 500
The greatest common divisor of numbers 424, 140, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 140, 500 is 4.

1. What is the GCD of 424, 140, 500?

GCD of given numbers 424, 140, 500 is 4

2. How to calculate the greatest common divisor of 424, 140, 500?

We can find the highest common divisor of 424, 140, 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 424, 140, 500 i.e 4.

3. How can I use the GCD of 424, 140, 500Calculator?

Out the numbers 424, 140, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.