GCD of 460, 113, 893, 748 Calculator

Given Input numbers are 460, 113, 893, 748

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

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 113 :

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

1, 113

Divisors of 893 :

The positive integer divisors of 893 that completely divides 893 are.

1, 19, 47, 893

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (460, 113, 893, 748) = 1.

Given numbers are 460, 113, 893, 748

The list of prime factors of all numbers are

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

Prime factors of 113 are 113

Prime factors of 893 are 19 x 47

Prime factors of 748 are 2 x 2 x 11 x 17

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

Given numbers are 460, 113, 893, 748

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

Apply this formula for all numbers.

Step1:

LCM(460, 113) = 51980

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

= 460 / 113

= 460

Step2:

LCM(1, 893) = 893

GCD(1, 893) = ( 1 x 893 ) / 893

= 1 / 893

= 1

Step3:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

So, Greatest Common Divisor of 460, 113, 893, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 193, 557, 131, 283
• GCD of 274, 190, 362, 237
• GCD of 506, 302, 942, 258
• GCD of 646, 642, 443, 468
• GCD of 478, 525, 344, 128

Given numbers are 460, 113, 893, 748
The greatest common divisor of numbers 460, 113, 893, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 113, 893, 748 is 1.

1. What is the GCD of 460, 113, 893, 748?

GCD of given numbers 460, 113, 893, 748 is 1

2. How to calculate the greatest common divisor of 460, 113, 893, 748?

We can find the highest common divisor of 460, 113, 893, 748 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 460, 113, 893, 748 i.e 1.

3. How can I use the GCD of 460, 113, 893, 748Calculator?

Out the numbers 460, 113, 893, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.