GCD of 918, 242, 436, 364 Calculator

Given Input numbers are 918, 242, 436, 364

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

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 242 :

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

1, 2, 11, 22, 121, 242

Divisors of 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (918, 242, 436, 364) = 2.

Given numbers are 918, 242, 436, 364

The list of prime factors of all numbers are

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

Prime factors of 242 are 2 x 11 x 11

Prime factors of 436 are 2 x 2 x 109

Prime factors of 364 are 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 918, 242, 436, 364 is 2.

Given numbers are 918, 242, 436, 364

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

Apply this formula for all numbers.

Step1:

LCM(918, 242) = 111078

GCD(918, 242) = ( 918 x 242 ) / 111078

= 918 / 242

= 918

Step2:

LCM(2, 436) = 436

GCD(2, 436) = ( 2 x 436 ) / 436

= 2 / 436

= 2

Step3:

LCM(2, 364) = 364

GCD(2, 364) = ( 2 x 364 ) / 364

= 2 / 364

= 2

So, Greatest Common Divisor of 918, 242, 436, 364 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 502, 506, 972, 819
• GCD of 204, 845, 682, 607
• GCD of 708, 195, 352, 473
• GCD of 486, 325, 270, 428
• GCD of 107, 440, 423, 764

Given numbers are 918, 242, 436, 364
The greatest common divisor of numbers 918, 242, 436, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 918, 242, 436, 364 is 2.

1. What is the GCD of 918, 242, 436, 364?

GCD of given numbers 918, 242, 436, 364 is 2

2. How to calculate the greatest common divisor of 918, 242, 436, 364?

We can find the highest common divisor of 918, 242, 436, 364 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 918, 242, 436, 364 i.e 2.

3. How can I use the GCD of 918, 242, 436, 364Calculator?

Out the numbers 918, 242, 436, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.