GCD of 226, 712, 704, 676 Calculator

Given Input numbers are 226, 712, 704, 676

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

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

GCD of numbers is the greatest common divisor

So, the GCD (226, 712, 704, 676) = 2.

Given numbers are 226, 712, 704, 676

The list of prime factors of all numbers are

Prime factors of 226 are 2 x 113

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 676 are 2 x 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 226, 712, 704, 676 is 2.

Given numbers are 226, 712, 704, 676

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

Apply this formula for all numbers.

Step1:

LCM(226, 712) = 80456

GCD(226, 712) = ( 226 x 712 ) / 80456

= 226 / 712

= 226

Step2:

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

= 2 / 704

= 2

Step3:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

So, Greatest Common Divisor of 226, 712, 704, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 116, 203, 262, 564
• GCD of 547, 238, 836, 856
• GCD of 489, 452, 759, 296
• GCD of 993, 234, 912, 214
• GCD of 391, 818, 885, 756

Given numbers are 226, 712, 704, 676
The greatest common divisor of numbers 226, 712, 704, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 226, 712, 704, 676 is 2.

1. What is the GCD of 226, 712, 704, 676?

GCD of given numbers 226, 712, 704, 676 is 2

2. How to calculate the greatest common divisor of 226, 712, 704, 676?

We can find the highest common divisor of 226, 712, 704, 676 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 226, 712, 704, 676 i.e 2.

3. How can I use the GCD of 226, 712, 704, 676Calculator?

Out the numbers 226, 712, 704, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.