GCD of 714, 527, 339, 180 Calculator

Given Input numbers are 714, 527, 339, 180

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 527 :

The positive integer divisors of 527 that completely divides 527 are.

1, 17, 31, 527

Divisors of 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (714, 527, 339, 180) = 1.

Given numbers are 714, 527, 339, 180

The list of prime factors of all numbers are

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

Prime factors of 527 are 17 x 31

Prime factors of 339 are 3 x 113

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

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

Given numbers are 714, 527, 339, 180

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

Apply this formula for all numbers.

Step1:

LCM(714, 527) = 22134

GCD(714, 527) = ( 714 x 527 ) / 22134

= 714 / 527

= 714

Step2:

LCM(17, 339) = 5763

GCD(17, 339) = ( 17 x 339 ) / 5763

= 17 / 339

= 17

Step3:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1

So, Greatest Common Divisor of 714, 527, 339, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 173, 757, 254, 578
• GCD of 466, 423, 342, 539
• GCD of 483, 142, 186, 291
• GCD of 148, 568, 340, 336
• GCD of 704, 119, 682, 795

Given numbers are 714, 527, 339, 180
The greatest common divisor of numbers 714, 527, 339, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 527, 339, 180 is 1.

1. What is the GCD of 714, 527, 339, 180?

GCD of given numbers 714, 527, 339, 180 is 1

2. How to calculate the greatest common divisor of 714, 527, 339, 180?

We can find the highest common divisor of 714, 527, 339, 180 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, 527, 339, 180 i.e 1.

3. How can I use the GCD of 714, 527, 339, 180Calculator?

Out the numbers 714, 527, 339, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.