GCD of 460, 143, 829, 993 Calculator

Given Input numbers are 460, 143, 829, 993

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 143 :

The positive integer divisors of 143 that completely divides 143 are.

1, 11, 13, 143

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

GCD of numbers is the greatest common divisor

So, the GCD (460, 143, 829, 993) = 1.

Given numbers are 460, 143, 829, 993

The list of prime factors of all numbers are

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

Prime factors of 143 are 11 x 13

Prime factors of 829 are 829

Prime factors of 993 are 3 x 331

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

Given numbers are 460, 143, 829, 993

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

Apply this formula for all numbers.

Step1:

LCM(460, 143) = 65780

GCD(460, 143) = ( 460 x 143 ) / 65780

= 460 / 143

= 460

Step2:

LCM(1, 829) = 829

GCD(1, 829) = ( 1 x 829 ) / 829

= 1 / 829

= 1

Step3:

LCM(1, 993) = 993

GCD(1, 993) = ( 1 x 993 ) / 993

= 1 / 993

= 1

So, Greatest Common Divisor of 460, 143, 829, 993 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 920, 280, 356, 302
• GCD of 113, 374, 526, 426
• GCD of 435, 298, 991, 127
• GCD of 824, 835, 469, 858
• GCD of 462, 694, 973, 985

Given numbers are 460, 143, 829, 993
The greatest common divisor of numbers 460, 143, 829, 993 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 143, 829, 993 is 1.

1. What is the GCD of 460, 143, 829, 993?

GCD of given numbers 460, 143, 829, 993 is 1

2. How to calculate the greatest common divisor of 460, 143, 829, 993?

We can find the highest common divisor of 460, 143, 829, 993 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, 143, 829, 993 i.e 1.

3. How can I use the GCD of 460, 143, 829, 993Calculator?

Out the numbers 460, 143, 829, 993 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.