GCD of 827, 397, 461, 725 Calculator

Given Input numbers are 827, 397, 461, 725

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

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

Divisors of 397 :

The positive integer divisors of 397 that completely divides 397 are.

1, 397

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

GCD of numbers is the greatest common divisor

So, the GCD (827, 397, 461, 725) = 1.

Given numbers are 827, 397, 461, 725

The list of prime factors of all numbers are

Prime factors of 827 are 827

Prime factors of 397 are 397

Prime factors of 461 are 461

Prime factors of 725 are 5 x 5 x 29

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

Given numbers are 827, 397, 461, 725

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

Apply this formula for all numbers.

Step1:

LCM(827, 397) = 328319

GCD(827, 397) = ( 827 x 397 ) / 328319

= 827 / 397

= 827

Step2:

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

= 1 / 461

= 1

Step3:

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

= 1 / 725

= 1

So, Greatest Common Divisor of 827, 397, 461, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 919, 374, 844, 518
• GCD of 525, 389, 599, 889
• GCD of 361, 536, 503, 788
• GCD of 905, 668, 140, 620
• GCD of 217, 609, 649, 872

Given numbers are 827, 397, 461, 725
The greatest common divisor of numbers 827, 397, 461, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 827, 397, 461, 725 is 1.

1. What is the GCD of 827, 397, 461, 725?

GCD of given numbers 827, 397, 461, 725 is 1

2. How to calculate the greatest common divisor of 827, 397, 461, 725?

We can find the highest common divisor of 827, 397, 461, 725 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 827, 397, 461, 725 i.e 1.

3. How can I use the GCD of 827, 397, 461, 725Calculator?

Out the numbers 827, 397, 461, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.