GCD of 113, 460, 111, 400 Calculator

Given Input numbers are 113, 460, 111, 400

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

Divisors of 113 :

The positive integer divisors of 113 that completely divides 113 are.

1, 113

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 111 :

The positive integer divisors of 111 that completely divides 111 are.

1, 3, 37, 111

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (113, 460, 111, 400) = 1.

Given numbers are 113, 460, 111, 400

The list of prime factors of all numbers are

Prime factors of 113 are 113

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

Prime factors of 111 are 3 x 37

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 113, 460, 111, 400

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

Apply this formula for all numbers.

Step1:

LCM(113, 460) = 51980

GCD(113, 460) = ( 113 x 460 ) / 51980

= 113 / 460

= 113

Step2:

LCM(1, 111) = 111

GCD(1, 111) = ( 1 x 111 ) / 111

= 1 / 111

= 1

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 113, 460, 111, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 575, 289, 301, 765
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• GCD of 367, 619, 484, 812
• GCD of 687, 988, 457, 256
• GCD of 363, 490, 555, 942

Given numbers are 113, 460, 111, 400
The greatest common divisor of numbers 113, 460, 111, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 113, 460, 111, 400 is 1.

1. What is the GCD of 113, 460, 111, 400?

GCD of given numbers 113, 460, 111, 400 is 1

2. How to calculate the greatest common divisor of 113, 460, 111, 400?

We can find the highest common divisor of 113, 460, 111, 400 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 113, 460, 111, 400 i.e 1.

3. How can I use the GCD of 113, 460, 111, 400Calculator?

Out the numbers 113, 460, 111, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.