GCD of 861, 355, 249, 714 Calculator

Given Input numbers are 861, 355, 249, 714

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 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (861, 355, 249, 714) = 1.

Given numbers are 861, 355, 249, 714

The list of prime factors of all numbers are

Prime factors of 861 are 3 x 7 x 41

Prime factors of 355 are 5 x 71

Prime factors of 249 are 3 x 83

Prime factors of 714 are 2 x 3 x 7 x 17

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

Given numbers are 861, 355, 249, 714

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

Apply this formula for all numbers.

Step1:

LCM(861, 355) = 305655

GCD(861, 355) = ( 861 x 355 ) / 305655

= 861 / 355

= 861

Step2:

LCM(1, 249) = 249

GCD(1, 249) = ( 1 x 249 ) / 249

= 1 / 249

= 1

Step3:

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

= 1 / 714

= 1

So, Greatest Common Divisor of 861, 355, 249, 714 is 1

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Given numbers are 861, 355, 249, 714
The greatest common divisor of numbers 861, 355, 249, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 861, 355, 249, 714 is 1.

1. What is the GCD of 861, 355, 249, 714?

GCD of given numbers 861, 355, 249, 714 is 1

2. How to calculate the greatest common divisor of 861, 355, 249, 714?

We can find the highest common divisor of 861, 355, 249, 714 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, 355, 249, 714 i.e 1.

3. How can I use the GCD of 861, 355, 249, 714Calculator?

Out the numbers 861, 355, 249, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.