GCD of 268, 930, 918, 100 Calculator

Given Input numbers are 268, 930, 918, 100

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

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 930 :

The positive integer divisors of 930 that completely divides 930 are.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 100 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (268, 930, 918, 100) = 2.

Given numbers are 268, 930, 918, 100

The list of prime factors of all numbers are

Prime factors of 268 are 2 x 2 x 67

Prime factors of 930 are 2 x 3 x 5 x 31

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

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

The highest common occurrence is 2¹

Therefore, GCD of 268, 930, 918, 100 is 2.

Given numbers are 268, 930, 918, 100

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

Apply this formula for all numbers.

Step1:

LCM(268, 930) = 124620

GCD(268, 930) = ( 268 x 930 ) / 124620

= 268 / 930

= 268

Step2:

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

= 2 / 918

= 2

Step3:

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

= 2 / 100

= 2

So, Greatest Common Divisor of 268, 930, 918, 100 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 974, 195, 773, 360
• GCD of 450, 591, 335, 838
• GCD of 268, 577, 288, 108
• GCD of 339, 747, 282, 163
• GCD of 627, 311, 919, 390

Given numbers are 268, 930, 918, 100
The greatest common divisor of numbers 268, 930, 918, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 930, 918, 100 is 2.

1. What is the GCD of 268, 930, 918, 100?

GCD of given numbers 268, 930, 918, 100 is 2

2. How to calculate the greatest common divisor of 268, 930, 918, 100?

We can find the highest common divisor of 268, 930, 918, 100 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 268, 930, 918, 100 i.e 2.

3. How can I use the GCD of 268, 930, 918, 100Calculator?

Out the numbers 268, 930, 918, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.