GCD of 736, 404, 222, 826 Calculator

Given Input numbers are 736, 404, 222, 826

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

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

GCD of numbers is the greatest common divisor

So, the GCD (736, 404, 222, 826) = 2.

Given numbers are 736, 404, 222, 826

The list of prime factors of all numbers are

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 404 are 2 x 2 x 101

Prime factors of 222 are 2 x 3 x 37

Prime factors of 826 are 2 x 7 x 59

The highest common occurrence is 2¹

Therefore, GCD of 736, 404, 222, 826 is 2.

Given numbers are 736, 404, 222, 826

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

Apply this formula for all numbers.

Step1:

LCM(736, 404) = 74336

GCD(736, 404) = ( 736 x 404 ) / 74336

= 736 / 404

= 736

Step2:

LCM(4, 222) = 444

GCD(4, 222) = ( 4 x 222 ) / 444

= 4 / 222

= 4

Step3:

LCM(2, 826) = 826

GCD(2, 826) = ( 2 x 826 ) / 826

= 2 / 826

= 2

So, Greatest Common Divisor of 736, 404, 222, 826 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 690, 382, 513, 137
• GCD of 954, 510, 150, 549
• GCD of 273, 458, 311, 174
• GCD of 269, 412, 164, 644
• GCD of 254, 916, 168, 982

Given numbers are 736, 404, 222, 826
The greatest common divisor of numbers 736, 404, 222, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 404, 222, 826 is 2.

1. What is the GCD of 736, 404, 222, 826?

GCD of given numbers 736, 404, 222, 826 is 2

2. How to calculate the greatest common divisor of 736, 404, 222, 826?

We can find the highest common divisor of 736, 404, 222, 826 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 736, 404, 222, 826 i.e 2.

3. How can I use the GCD of 736, 404, 222, 826Calculator?

Out the numbers 736, 404, 222, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.