GCD of 688, 446, 844, 272 Calculator

Given Input numbers are 688, 446, 844, 272

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 446 :

The positive integer divisors of 446 that completely divides 446 are.

1, 2, 223, 446

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

GCD of numbers is the greatest common divisor

So, the GCD (688, 446, 844, 272) = 2.

Given numbers are 688, 446, 844, 272

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 446 are 2 x 223

Prime factors of 844 are 2 x 2 x 211

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

The highest common occurrence is 2¹

Therefore, GCD of 688, 446, 844, 272 is 2.

Given numbers are 688, 446, 844, 272

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

Apply this formula for all numbers.

Step1:

LCM(688, 446) = 153424

GCD(688, 446) = ( 688 x 446 ) / 153424

= 688 / 446

= 688

Step2:

LCM(2, 844) = 844

GCD(2, 844) = ( 2 x 844 ) / 844

= 2 / 844

= 2

Step3:

LCM(2, 272) = 272

GCD(2, 272) = ( 2 x 272 ) / 272

= 2 / 272

= 2

So, Greatest Common Divisor of 688, 446, 844, 272 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 332, 440, 900, 740
• GCD of 391, 229, 511, 486
• GCD of 279, 775, 482, 471
• GCD of 394, 122, 795, 957
• GCD of 432, 172, 760, 745

Given numbers are 688, 446, 844, 272
The greatest common divisor of numbers 688, 446, 844, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 446, 844, 272 is 2.

1. What is the GCD of 688, 446, 844, 272?

GCD of given numbers 688, 446, 844, 272 is 2

2. How to calculate the greatest common divisor of 688, 446, 844, 272?

We can find the highest common divisor of 688, 446, 844, 272 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, 446, 844, 272 i.e 2.

3. How can I use the GCD of 688, 446, 844, 272Calculator?

Out the numbers 688, 446, 844, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.