GCD of 861, 460, 371, 825 Calculator

Given Input numbers are 861, 460, 371, 825

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

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

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 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (861, 460, 371, 825) = 1.

Given numbers are 861, 460, 371, 825

The list of prime factors of all numbers are

Prime factors of 861 are 3 x 7 x 41

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

Prime factors of 371 are 7 x 53

Prime factors of 825 are 3 x 5 x 5 x 11

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

Given numbers are 861, 460, 371, 825

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

Apply this formula for all numbers.

Step1:

LCM(861, 460) = 396060

GCD(861, 460) = ( 861 x 460 ) / 396060

= 861 / 460

= 861

Step2:

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

= 1 / 371

= 1

Step3:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

So, Greatest Common Divisor of 861, 460, 371, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 880, 464, 750, 814
• GCD of 550, 725, 672, 864
• GCD of 744, 785, 317, 704
• GCD of 725, 644, 749, 579
• GCD of 747, 198, 527, 167

Given numbers are 861, 460, 371, 825
The greatest common divisor of numbers 861, 460, 371, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 861, 460, 371, 825 is 1.

1. What is the GCD of 861, 460, 371, 825?

GCD of given numbers 861, 460, 371, 825 is 1

2. How to calculate the greatest common divisor of 861, 460, 371, 825?

We can find the highest common divisor of 861, 460, 371, 825 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 861, 460, 371, 825 i.e 1.

3. How can I use the GCD of 861, 460, 371, 825Calculator?

Out the numbers 861, 460, 371, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.