GCD of 434, 242, 116, 250 Calculator

Given Input numbers are 434, 242, 116, 250

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

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 242 :

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

1, 2, 11, 22, 121, 242

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 250 :

The positive integer divisors of 250 that completely divides 250 are.

1, 2, 5, 10, 25, 50, 125, 250

GCD of numbers is the greatest common divisor

So, the GCD (434, 242, 116, 250) = 2.

Given numbers are 434, 242, 116, 250

The list of prime factors of all numbers are

Prime factors of 434 are 2 x 7 x 31

Prime factors of 242 are 2 x 11 x 11

Prime factors of 116 are 2 x 2 x 29

Prime factors of 250 are 2 x 5 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 434, 242, 116, 250 is 2.

Given numbers are 434, 242, 116, 250

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

Apply this formula for all numbers.

Step1:

LCM(434, 242) = 52514

GCD(434, 242) = ( 434 x 242 ) / 52514

= 434 / 242

= 434

Step2:

LCM(2, 116) = 116

GCD(2, 116) = ( 2 x 116 ) / 116

= 2 / 116

= 2

Step3:

LCM(2, 250) = 250

GCD(2, 250) = ( 2 x 250 ) / 250

= 2 / 250

= 2

So, Greatest Common Divisor of 434, 242, 116, 250 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 573, 387, 387, 406
• GCD of 786, 503, 610, 570
• GCD of 568, 437, 757, 961
• GCD of 909, 704, 733, 113
• GCD of 187, 952, 277, 176

Given numbers are 434, 242, 116, 250
The greatest common divisor of numbers 434, 242, 116, 250 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 434, 242, 116, 250 is 2.

1. What is the GCD of 434, 242, 116, 250?

GCD of given numbers 434, 242, 116, 250 is 2

2. How to calculate the greatest common divisor of 434, 242, 116, 250?

We can find the highest common divisor of 434, 242, 116, 250 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 434, 242, 116, 250 i.e 2.

3. How can I use the GCD of 434, 242, 116, 250Calculator?

Out the numbers 434, 242, 116, 250 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.