GCD of 826, 446, 138, 218 Calculator

Given Input numbers are 826, 446, 138, 218

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

Divisors of 826 :

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

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

Divisors of 446 :

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

1, 2, 223, 446

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

GCD of numbers is the greatest common divisor

So, the GCD (826, 446, 138, 218) = 2.

Given numbers are 826, 446, 138, 218

The list of prime factors of all numbers are

Prime factors of 826 are 2 x 7 x 59

Prime factors of 446 are 2 x 223

Prime factors of 138 are 2 x 3 x 23

Prime factors of 218 are 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 826, 446, 138, 218 is 2.

Given numbers are 826, 446, 138, 218

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

Apply this formula for all numbers.

Step1:

LCM(826, 446) = 184198

GCD(826, 446) = ( 826 x 446 ) / 184198

= 826 / 446

= 826

Step2:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

Step3:

LCM(2, 218) = 218

GCD(2, 218) = ( 2 x 218 ) / 218

= 2 / 218

= 2

So, Greatest Common Divisor of 826, 446, 138, 218 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 924, 499, 700, 753
• GCD of 455, 670, 422, 102
• GCD of 577, 701, 640, 893
• GCD of 774, 165, 483, 612
• GCD of 796, 900, 779, 225

Given numbers are 826, 446, 138, 218
The greatest common divisor of numbers 826, 446, 138, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 446, 138, 218 is 2.

1. What is the GCD of 826, 446, 138, 218?

GCD of given numbers 826, 446, 138, 218 is 2

2. How to calculate the greatest common divisor of 826, 446, 138, 218?

We can find the highest common divisor of 826, 446, 138, 218 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 826, 446, 138, 218 i.e 2.

3. How can I use the GCD of 826, 446, 138, 218Calculator?

Out the numbers 826, 446, 138, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.