GCD of 242, 134, 900, 844 Calculator

Given Input numbers are 242, 134, 900, 844

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

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

GCD of numbers is the greatest common divisor

So, the GCD (242, 134, 900, 844) = 2.

Given numbers are 242, 134, 900, 844

The list of prime factors of all numbers are

Prime factors of 242 are 2 x 11 x 11

Prime factors of 134 are 2 x 67

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 844 are 2 x 2 x 211

The highest common occurrence is 2¹

Therefore, GCD of 242, 134, 900, 844 is 2.

Given numbers are 242, 134, 900, 844

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

Apply this formula for all numbers.

Step1:

LCM(242, 134) = 16214

GCD(242, 134) = ( 242 x 134 ) / 16214

= 242 / 134

= 242

Step2:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

Step3:

LCM(2, 844) = 844

GCD(2, 844) = ( 2 x 844 ) / 844

= 2 / 844

= 2

So, Greatest Common Divisor of 242, 134, 900, 844 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 717, 550, 111, 217
• GCD of 688, 456, 131, 928
• GCD of 848, 680, 349, 854
• GCD of 941, 556, 989, 327
• GCD of 793, 999, 123, 470

Given numbers are 242, 134, 900, 844
The greatest common divisor of numbers 242, 134, 900, 844 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 134, 900, 844 is 2.

1. What is the GCD of 242, 134, 900, 844?

GCD of given numbers 242, 134, 900, 844 is 2

2. How to calculate the greatest common divisor of 242, 134, 900, 844?

We can find the highest common divisor of 242, 134, 900, 844 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 242, 134, 900, 844 i.e 2.

3. How can I use the GCD of 242, 134, 900, 844Calculator?

Out the numbers 242, 134, 900, 844 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.