GCD of 688, 508, 912, 196 Calculator

Given Input numbers are 688, 508, 912, 196

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

Divisors of 688 :

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

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

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

GCD of numbers is the greatest common divisor

So, the GCD (688, 508, 912, 196) = 4.

Given numbers are 688, 508, 912, 196

The list of prime factors of all numbers are

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

Prime factors of 508 are 2 x 2 x 127

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

Prime factors of 196 are 2 x 2 x 7 x 7

The highest common occurrence is 2²

Therefore, GCD of 688, 508, 912, 196 is 4.

Given numbers are 688, 508, 912, 196

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

Apply this formula for all numbers.

Step1:

LCM(688, 508) = 87376

GCD(688, 508) = ( 688 x 508 ) / 87376

= 688 / 508

= 688

Step2:

LCM(4, 912) = 912

GCD(4, 912) = ( 4 x 912 ) / 912

= 4 / 912

= 4

Step3:

LCM(4, 196) = 196

GCD(4, 196) = ( 4 x 196 ) / 196

= 4 / 196

= 4

So, Greatest Common Divisor of 688, 508, 912, 196 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 162, 358, 569
• GCD of 638, 768, 259, 620
• GCD of 594, 135, 588, 671
• GCD of 190, 214, 232, 537
• GCD of 533, 295, 634, 720

Given numbers are 688, 508, 912, 196
The greatest common divisor of numbers 688, 508, 912, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 508, 912, 196 is 4.

1. What is the GCD of 688, 508, 912, 196?

GCD of given numbers 688, 508, 912, 196 is 4

2. How to calculate the greatest common divisor of 688, 508, 912, 196?

We can find the highest common divisor of 688, 508, 912, 196 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 688, 508, 912, 196 i.e 4.

3. How can I use the GCD of 688, 508, 912, 196Calculator?

Out the numbers 688, 508, 912, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.