GCD of 112, 424, 460, 364 Calculator

Given Input numbers are 112, 424, 460, 364

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

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 424 :

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

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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 (112, 424, 460, 364) = 4.

Given numbers are 112, 424, 460, 364

The list of prime factors of all numbers are

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

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

Prime factors of 460 are 2 x 2 x 5 x 23

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

The highest common occurrence is 2²

Therefore, GCD of 112, 424, 460, 364 is 4.

Given numbers are 112, 424, 460, 364

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

Apply this formula for all numbers.

Step1:

LCM(112, 424) = 5936

GCD(112, 424) = ( 112 x 424 ) / 5936

= 112 / 424

= 112

Step2:

LCM(8, 460) = 920

GCD(8, 460) = ( 8 x 460 ) / 920

= 8 / 460

= 8

Step3:

LCM(4, 364) = 364

GCD(4, 364) = ( 4 x 364 ) / 364

= 4 / 364

= 4

So, Greatest Common Divisor of 112, 424, 460, 364 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 564, 486, 679, 697
• GCD of 910, 409, 767, 605
• GCD of 648, 933, 209, 702
• GCD of 690, 298, 362, 325
• GCD of 697, 530, 672, 283

Given numbers are 112, 424, 460, 364
The greatest common divisor of numbers 112, 424, 460, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 424, 460, 364 is 4.

1. What is the GCD of 112, 424, 460, 364?

GCD of given numbers 112, 424, 460, 364 is 4

2. How to calculate the greatest common divisor of 112, 424, 460, 364?

We can find the highest common divisor of 112, 424, 460, 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 112, 424, 460, 364 i.e 4.

3. How can I use the GCD of 112, 424, 460, 364Calculator?

Out the numbers 112, 424, 460, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.