GCD of 242, 150, 708, 318 Calculator

Given Input numbers are 242, 150, 708, 318

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 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

GCD of numbers is the greatest common divisor

So, the GCD (242, 150, 708, 318) = 2.

Given numbers are 242, 150, 708, 318

The list of prime factors of all numbers are

Prime factors of 242 are 2 x 11 x 11

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 318 are 2 x 3 x 53

The highest common occurrence is 2¹

Therefore, GCD of 242, 150, 708, 318 is 2.

Given numbers are 242, 150, 708, 318

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

Apply this formula for all numbers.

Step1:

LCM(242, 150) = 18150

GCD(242, 150) = ( 242 x 150 ) / 18150

= 242 / 150

= 242

Step2:

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

= 2 / 708

= 2

Step3:

LCM(2, 318) = 318

GCD(2, 318) = ( 2 x 318 ) / 318

= 2 / 318

= 2

So, Greatest Common Divisor of 242, 150, 708, 318 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 866, 894, 159, 783
• GCD of 100, 253, 425, 920
• GCD of 355, 978, 400, 565
• GCD of 981, 820, 663, 494
• GCD of 775, 171, 672, 288

Given numbers are 242, 150, 708, 318
The greatest common divisor of numbers 242, 150, 708, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 150, 708, 318 is 2.

1. What is the GCD of 242, 150, 708, 318?

GCD of given numbers 242, 150, 708, 318 is 2

2. How to calculate the greatest common divisor of 242, 150, 708, 318?

We can find the highest common divisor of 242, 150, 708, 318 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, 150, 708, 318 i.e 2.

3. How can I use the GCD of 242, 150, 708, 318Calculator?

Out the numbers 242, 150, 708, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.