GCD of 828, 460, 991, 315 Calculator

Given Input numbers are 828, 460, 991, 315

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

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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 991 :

The positive integer divisors of 991 that completely divides 991 are.

1, 991

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

GCD of numbers is the greatest common divisor

So, the GCD (828, 460, 991, 315) = 1.

Given numbers are 828, 460, 991, 315

The list of prime factors of all numbers are

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

Prime factors of 991 are 991

Prime factors of 315 are 3 x 3 x 5 x 7

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

Given numbers are 828, 460, 991, 315

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

Apply this formula for all numbers.

Step1:

LCM(828, 460) = 4140

GCD(828, 460) = ( 828 x 460 ) / 4140

= 828 / 460

= 828

Step2:

LCM(92, 991) = 91172

GCD(92, 991) = ( 92 x 991 ) / 91172

= 92 / 991

= 92

Step3:

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

= 1 / 315

= 1

So, Greatest Common Divisor of 828, 460, 991, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 113, 208, 485, 314
• GCD of 259, 857, 155, 406
• GCD of 912, 453, 512, 889
• GCD of 547, 152, 438, 552
• GCD of 169, 284, 777, 112

Given numbers are 828, 460, 991, 315
The greatest common divisor of numbers 828, 460, 991, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 828, 460, 991, 315 is 1.

1. What is the GCD of 828, 460, 991, 315?

GCD of given numbers 828, 460, 991, 315 is 1

2. How to calculate the greatest common divisor of 828, 460, 991, 315?

We can find the highest common divisor of 828, 460, 991, 315 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 828, 460, 991, 315 i.e 1.

3. How can I use the GCD of 828, 460, 991, 315Calculator?

Out the numbers 828, 460, 991, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.