GCD of 428, 500, 860 Calculator

Given Input numbers are 428, 500, 860

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

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 860 :

The positive integer divisors of 860 that completely divides 860 are.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

GCD of numbers is the greatest common divisor

So, the GCD (428, 500, 860) = 4.

Given numbers are 428, 500, 860

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

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

Prime factors of 860 are 2 x 2 x 5 x 43

The highest common occurrence is 2²

Therefore, GCD of 428, 500, 860 is 4.

Given numbers are 428, 500, 860

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

Apply this formula for all numbers.

Step1:

LCM(428, 500) = 53500

GCD(428, 500) = ( 428 x 500 ) / 53500

= 428 / 500

= 428

Step2:

LCM(4, 860) = 860

GCD(4, 860) = ( 4 x 860 ) / 860

= 4 / 860

= 4

So, Greatest Common Divisor of 428, 500, 860 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 338, 747, 407
• GCD of 268, 611, 502
• GCD of 296, 420, 389
• GCD of 666, 166, 704
• GCD of 594, 915, 856

Given numbers are 428, 500, 860
The greatest common divisor of numbers 428, 500, 860 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 500, 860 is 4.

1. What is the GCD of 428, 500, 860?

GCD of given numbers 428, 500, 860 is 4

2. How to calculate the greatest common divisor of 428, 500, 860?

We can find the highest common divisor of 428, 500, 860 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 428, 500, 860 i.e 4.

3. How can I use the GCD of 428, 500, 860Calculator?

Out the numbers 428, 500, 860 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.