GCD of 714, 489, 780, 100 Calculator

Given Input numbers are 714, 489, 780, 100

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 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

GCD of numbers is the greatest common divisor

So, the GCD (714, 489, 780, 100) = 1.

Given numbers are 714, 489, 780, 100

The list of prime factors of all numbers are

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

Prime factors of 489 are 3 x 163

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 100 are 2 x 2 x 5 x 5

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

Given numbers are 714, 489, 780, 100

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

Apply this formula for all numbers.

Step1:

LCM(714, 489) = 116382

GCD(714, 489) = ( 714 x 489 ) / 116382

= 714 / 489

= 714

Step2:

LCM(3, 780) = 780

GCD(3, 780) = ( 3 x 780 ) / 780

= 3 / 780

= 3

Step3:

LCM(3, 100) = 300

GCD(3, 100) = ( 3 x 100 ) / 300

= 3 / 100

= 3

So, Greatest Common Divisor of 714, 489, 780, 100 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 871, 573, 484, 290
• GCD of 906, 209, 290, 438
• GCD of 757, 296, 315, 410
• GCD of 788, 198, 341, 566
• GCD of 397, 371, 397, 614

Given numbers are 714, 489, 780, 100
The greatest common divisor of numbers 714, 489, 780, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 489, 780, 100 is 1.

1. What is the GCD of 714, 489, 780, 100?

GCD of given numbers 714, 489, 780, 100 is 1

2. How to calculate the greatest common divisor of 714, 489, 780, 100?

We can find the highest common divisor of 714, 489, 780, 100 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, 489, 780, 100 i.e 1.

3. How can I use the GCD of 714, 489, 780, 100Calculator?

Out the numbers 714, 489, 780, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.