GCD of 832, 216, 312, 980 Calculator

Given Input numbers are 832, 216, 312, 980

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

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

GCD of numbers is the greatest common divisor

So, the GCD (832, 216, 312, 980) = 4.

Given numbers are 832, 216, 312, 980

The list of prime factors of all numbers are

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

The highest common occurrence is 2²

Therefore, GCD of 832, 216, 312, 980 is 4.

Given numbers are 832, 216, 312, 980

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

Apply this formula for all numbers.

Step1:

LCM(832, 216) = 22464

GCD(832, 216) = ( 832 x 216 ) / 22464

= 832 / 216

= 832

Step2:

LCM(8, 312) = 312

GCD(8, 312) = ( 8 x 312 ) / 312

= 8 / 312

= 8

Step3:

LCM(8, 980) = 1960

GCD(8, 980) = ( 8 x 980 ) / 1960

= 8 / 980

= 8

So, Greatest Common Divisor of 832, 216, 312, 980 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 680, 469, 980, 734
• GCD of 297, 659, 423, 902
• GCD of 634, 418, 191, 472
• GCD of 810, 686, 530, 673
• GCD of 704, 922, 655, 815

Given numbers are 832, 216, 312, 980
The greatest common divisor of numbers 832, 216, 312, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 832, 216, 312, 980 is 4.

1. What is the GCD of 832, 216, 312, 980?

GCD of given numbers 832, 216, 312, 980 is 4

2. How to calculate the greatest common divisor of 832, 216, 312, 980?

We can find the highest common divisor of 832, 216, 312, 980 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 832, 216, 312, 980 i.e 4.

3. How can I use the GCD of 832, 216, 312, 980Calculator?

Out the numbers 832, 216, 312, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.