GCD of 678, 298, 878, 500 Calculator

Given Input numbers are 678, 298, 878, 500

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 878 :

The positive integer divisors of 878 that completely divides 878 are.

1, 2, 439, 878

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 (678, 298, 878, 500) = 2.

Given numbers are 678, 298, 878, 500

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 298 are 2 x 149

Prime factors of 878 are 2 x 439

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

The highest common occurrence is 2¹

Therefore, GCD of 678, 298, 878, 500 is 2.

Given numbers are 678, 298, 878, 500

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

Apply this formula for all numbers.

Step1:

LCM(678, 298) = 101022

GCD(678, 298) = ( 678 x 298 ) / 101022

= 678 / 298

= 678

Step2:

LCM(2, 878) = 878

GCD(2, 878) = ( 2 x 878 ) / 878

= 2 / 878

= 2

Step3:

LCM(2, 500) = 500

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

= 2 / 500

= 2

So, Greatest Common Divisor of 678, 298, 878, 500 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 749, 588, 314, 225
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• GCD of 286, 831, 111, 595

Given numbers are 678, 298, 878, 500
The greatest common divisor of numbers 678, 298, 878, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 298, 878, 500 is 2.

1. What is the GCD of 678, 298, 878, 500?

GCD of given numbers 678, 298, 878, 500 is 2

2. How to calculate the greatest common divisor of 678, 298, 878, 500?

We can find the highest common divisor of 678, 298, 878, 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 678, 298, 878, 500 i.e 2.

3. How can I use the GCD of 678, 298, 878, 500Calculator?

Out the numbers 678, 298, 878, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.