GCD of 500, 472, 140 Calculator

Given Input numbers are 500, 472, 140

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

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

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

GCD of numbers is the greatest common divisor

So, the GCD (500, 472, 140) = 4.

Given numbers are 500, 472, 140

The list of prime factors of all numbers are

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

Prime factors of 472 are 2 x 2 x 2 x 59

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

The highest common occurrence is 2²

Therefore, GCD of 500, 472, 140 is 4.

Given numbers are 500, 472, 140

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

Apply this formula for all numbers.

Step1:

LCM(500, 472) = 59000

GCD(500, 472) = ( 500 x 472 ) / 59000

= 500 / 472

= 500

Step2:

LCM(4, 140) = 140

GCD(4, 140) = ( 4 x 140 ) / 140

= 4 / 140

= 4

So, Greatest Common Divisor of 500, 472, 140 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 574, 912, 693
• GCD of 569, 635, 344
• GCD of 661, 291, 513
• GCD of 410, 777, 874
• GCD of 263, 244, 713

Given numbers are 500, 472, 140
The greatest common divisor of numbers 500, 472, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 472, 140 is 4.

1. What is the GCD of 500, 472, 140?

GCD of given numbers 500, 472, 140 is 4

2. How to calculate the greatest common divisor of 500, 472, 140?

We can find the highest common divisor of 500, 472, 140 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 500, 472, 140 i.e 4.

3. How can I use the GCD of 500, 472, 140Calculator?

Out the numbers 500, 472, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.