GCD of 338, 100, 218, 926 Calculator

Given Input numbers are 338, 100, 218, 926

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 218 :

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

1, 2, 109, 218

Divisors of 926 :

The positive integer divisors of 926 that completely divides 926 are.

1, 2, 463, 926

GCD of numbers is the greatest common divisor

So, the GCD (338, 100, 218, 926) = 2.

Given numbers are 338, 100, 218, 926

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 218 are 2 x 109

Prime factors of 926 are 2 x 463

The highest common occurrence is 2¹

Therefore, GCD of 338, 100, 218, 926 is 2.

Given numbers are 338, 100, 218, 926

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

Apply this formula for all numbers.

Step1:

LCM(338, 100) = 16900

GCD(338, 100) = ( 338 x 100 ) / 16900

= 338 / 100

= 338

Step2:

LCM(2, 218) = 218

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

= 2 / 218

= 2

Step3:

LCM(2, 926) = 926

GCD(2, 926) = ( 2 x 926 ) / 926

= 2 / 926

= 2

So, Greatest Common Divisor of 338, 100, 218, 926 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 379, 944, 865
• GCD of 274, 328, 574, 114
• GCD of 315, 988, 658, 462
• GCD of 616, 297, 860, 263
• GCD of 504, 304, 456, 866

Given numbers are 338, 100, 218, 926
The greatest common divisor of numbers 338, 100, 218, 926 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 100, 218, 926 is 2.

1. What is the GCD of 338, 100, 218, 926?

GCD of given numbers 338, 100, 218, 926 is 2

2. How to calculate the greatest common divisor of 338, 100, 218, 926?

We can find the highest common divisor of 338, 100, 218, 926 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 338, 100, 218, 926 i.e 2.

3. How can I use the GCD of 338, 100, 218, 926Calculator?

Out the numbers 338, 100, 218, 926 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.