GCD of 714, 549, 367, 820 Calculator

Given Input numbers are 714, 549, 367, 820

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

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

Divisors of 549 :

The positive integer divisors of 549 that completely divides 549 are.

1, 3, 9, 61, 183, 549

Divisors of 367 :

The positive integer divisors of 367 that completely divides 367 are.

1, 367

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

GCD of numbers is the greatest common divisor

So, the GCD (714, 549, 367, 820) = 1.

Given numbers are 714, 549, 367, 820

The list of prime factors of all numbers are

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

Prime factors of 549 are 3 x 3 x 61

Prime factors of 367 are 367

Prime factors of 820 are 2 x 2 x 5 x 41

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

Given numbers are 714, 549, 367, 820

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

Apply this formula for all numbers.

Step1:

LCM(714, 549) = 130662

GCD(714, 549) = ( 714 x 549 ) / 130662

= 714 / 549

= 714

Step2:

LCM(3, 367) = 1101

GCD(3, 367) = ( 3 x 367 ) / 1101

= 3 / 367

= 3

Step3:

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

= 1 / 820

= 1

So, Greatest Common Divisor of 714, 549, 367, 820 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 324, 183, 197, 673
• GCD of 137, 626, 599, 969
• GCD of 671, 306, 781, 205
• GCD of 647, 981, 787, 665
• GCD of 518, 703, 792, 653

Given numbers are 714, 549, 367, 820
The greatest common divisor of numbers 714, 549, 367, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 549, 367, 820 is 1.

1. What is the GCD of 714, 549, 367, 820?

GCD of given numbers 714, 549, 367, 820 is 1

2. How to calculate the greatest common divisor of 714, 549, 367, 820?

We can find the highest common divisor of 714, 549, 367, 820 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 714, 549, 367, 820 i.e 1.

3. How can I use the GCD of 714, 549, 367, 820Calculator?

Out the numbers 714, 549, 367, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.