GCD of 302, 424, 364, 110 Calculator

Given Input numbers are 302, 424, 364, 110

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

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

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

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

GCD of numbers is the greatest common divisor

So, the GCD (302, 424, 364, 110) = 2.

Given numbers are 302, 424, 364, 110

The list of prime factors of all numbers are

Prime factors of 302 are 2 x 151

Prime factors of 424 are 2 x 2 x 2 x 53

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

Prime factors of 110 are 2 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 302, 424, 364, 110 is 2.

Given numbers are 302, 424, 364, 110

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

Apply this formula for all numbers.

Step1:

LCM(302, 424) = 64024

GCD(302, 424) = ( 302 x 424 ) / 64024

= 302 / 424

= 302

Step2:

LCM(2, 364) = 364

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

= 2 / 364

= 2

Step3:

LCM(2, 110) = 110

GCD(2, 110) = ( 2 x 110 ) / 110

= 2 / 110

= 2

So, Greatest Common Divisor of 302, 424, 364, 110 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 251, 709, 460, 136
• GCD of 375, 756, 720, 980
• GCD of 196, 337, 314, 244
• GCD of 555, 278, 199, 838
• GCD of 715, 982, 575, 427

Given numbers are 302, 424, 364, 110
The greatest common divisor of numbers 302, 424, 364, 110 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 302, 424, 364, 110 is 2.

1. What is the GCD of 302, 424, 364, 110?

GCD of given numbers 302, 424, 364, 110 is 2

2. How to calculate the greatest common divisor of 302, 424, 364, 110?

We can find the highest common divisor of 302, 424, 364, 110 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 302, 424, 364, 110 i.e 2.

3. How can I use the GCD of 302, 424, 364, 110Calculator?

Out the numbers 302, 424, 364, 110 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.