GCD of 816, 312, 988, 688 Calculator

Given Input numbers are 816, 312, 988, 688

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

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

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 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD of numbers is the greatest common divisor

So, the GCD (816, 312, 988, 688) = 4.

Given numbers are 816, 312, 988, 688

The list of prime factors of all numbers are

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

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

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

The highest common occurrence is 2²

Therefore, GCD of 816, 312, 988, 688 is 4.

Given numbers are 816, 312, 988, 688

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

Apply this formula for all numbers.

Step1:

LCM(816, 312) = 10608

GCD(816, 312) = ( 816 x 312 ) / 10608

= 816 / 312

= 816

Step2:

LCM(24, 988) = 5928

GCD(24, 988) = ( 24 x 988 ) / 5928

= 24 / 988

= 24

Step3:

LCM(4, 688) = 688

GCD(4, 688) = ( 4 x 688 ) / 688

= 4 / 688

= 4

So, Greatest Common Divisor of 816, 312, 988, 688 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 752, 238, 460, 662
• GCD of 834, 734, 427, 609
• GCD of 248, 327, 981, 758
• GCD of 669, 384, 702, 863
• GCD of 259, 150, 187, 737

Given numbers are 816, 312, 988, 688
The greatest common divisor of numbers 816, 312, 988, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 312, 988, 688 is 4.

1. What is the GCD of 816, 312, 988, 688?

GCD of given numbers 816, 312, 988, 688 is 4

2. How to calculate the greatest common divisor of 816, 312, 988, 688?

We can find the highest common divisor of 816, 312, 988, 688 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 816, 312, 988, 688 i.e 4.

3. How can I use the GCD of 816, 312, 988, 688Calculator?

Out the numbers 816, 312, 988, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.