GCD of 821, 861, 467, 314 Calculator

Given Input numbers are 821, 861, 467, 314

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

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 861 :

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

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

Divisors of 467 :

The positive integer divisors of 467 that completely divides 467 are.

1, 467

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (821, 861, 467, 314) = 1.

Given numbers are 821, 861, 467, 314

The list of prime factors of all numbers are

Prime factors of 821 are 821

Prime factors of 861 are 3 x 7 x 41

Prime factors of 467 are 467

Prime factors of 314 are 2 x 157

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

Given numbers are 821, 861, 467, 314

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

Apply this formula for all numbers.

Step1:

LCM(821, 861) = 706881

GCD(821, 861) = ( 821 x 861 ) / 706881

= 821 / 861

= 821

Step2:

LCM(1, 467) = 467

GCD(1, 467) = ( 1 x 467 ) / 467

= 1 / 467

= 1

Step3:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

So, Greatest Common Divisor of 821, 861, 467, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 429, 404, 789, 762
• GCD of 124, 262, 427, 178
• GCD of 293, 248, 272, 408
• GCD of 156, 621, 814, 369
• GCD of 564, 846, 327, 557

Given numbers are 821, 861, 467, 314
The greatest common divisor of numbers 821, 861, 467, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 861, 467, 314 is 1.

1. What is the GCD of 821, 861, 467, 314?

GCD of given numbers 821, 861, 467, 314 is 1

2. How to calculate the greatest common divisor of 821, 861, 467, 314?

We can find the highest common divisor of 821, 861, 467, 314 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 821, 861, 467, 314 i.e 1.

3. How can I use the GCD of 821, 861, 467, 314Calculator?

Out the numbers 821, 861, 467, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.