GCD of 882, 214, 500, 130 Calculator

Given Input numbers are 882, 214, 500, 130

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

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

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 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

GCD of numbers is the greatest common divisor

So, the GCD (882, 214, 500, 130) = 2.

Given numbers are 882, 214, 500, 130

The list of prime factors of all numbers are

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 214 are 2 x 107

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

Prime factors of 130 are 2 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 882, 214, 500, 130 is 2.

Given numbers are 882, 214, 500, 130

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

Apply this formula for all numbers.

Step1:

LCM(882, 214) = 94374

GCD(882, 214) = ( 882 x 214 ) / 94374

= 882 / 214

= 882

Step2:

LCM(2, 500) = 500

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

= 2 / 500

= 2

Step3:

LCM(2, 130) = 130

GCD(2, 130) = ( 2 x 130 ) / 130

= 2 / 130

= 2

So, Greatest Common Divisor of 882, 214, 500, 130 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 331, 127, 755
• GCD of 483, 884, 399, 263
• GCD of 793, 283, 726, 908
• GCD of 769, 593, 952, 381
• GCD of 182, 667, 225, 422

Given numbers are 882, 214, 500, 130
The greatest common divisor of numbers 882, 214, 500, 130 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 882, 214, 500, 130 is 2.

1. What is the GCD of 882, 214, 500, 130?

GCD of given numbers 882, 214, 500, 130 is 2

2. How to calculate the greatest common divisor of 882, 214, 500, 130?

We can find the highest common divisor of 882, 214, 500, 130 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 882, 214, 500, 130 i.e 2.

3. How can I use the GCD of 882, 214, 500, 130Calculator?

Out the numbers 882, 214, 500, 130 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.