GCD of 498, 710, 680, 872 Calculator

Given Input numbers are 498, 710, 680, 872

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

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

GCD of numbers is the greatest common divisor

So, the GCD (498, 710, 680, 872) = 2.

Given numbers are 498, 710, 680, 872

The list of prime factors of all numbers are

Prime factors of 498 are 2 x 3 x 83

Prime factors of 710 are 2 x 5 x 71

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 872 are 2 x 2 x 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 498, 710, 680, 872 is 2.

Given numbers are 498, 710, 680, 872

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

Apply this formula for all numbers.

Step1:

LCM(498, 710) = 176790

GCD(498, 710) = ( 498 x 710 ) / 176790

= 498 / 710

= 498

Step2:

LCM(2, 680) = 680

GCD(2, 680) = ( 2 x 680 ) / 680

= 2 / 680

= 2

Step3:

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

= 2 / 872

= 2

So, Greatest Common Divisor of 498, 710, 680, 872 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 386, 328, 999, 826
• GCD of 863, 972, 956, 157
• GCD of 176, 646, 506, 562
• GCD of 233, 917, 556, 284
• GCD of 893, 400, 733, 846

Given numbers are 498, 710, 680, 872
The greatest common divisor of numbers 498, 710, 680, 872 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 498, 710, 680, 872 is 2.

1. What is the GCD of 498, 710, 680, 872?

GCD of given numbers 498, 710, 680, 872 is 2

2. How to calculate the greatest common divisor of 498, 710, 680, 872?

We can find the highest common divisor of 498, 710, 680, 872 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 498, 710, 680, 872 i.e 2.

3. How can I use the GCD of 498, 710, 680, 872Calculator?

Out the numbers 498, 710, 680, 872 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.