GCD of 714, 645, 645, 699 Calculator

Given Input numbers are 714, 645, 645, 699

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 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

GCD of numbers is the greatest common divisor

So, the GCD (714, 645, 645, 699) = 3.

Given numbers are 714, 645, 645, 699

The list of prime factors of all numbers are

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

Prime factors of 645 are 3 x 5 x 43

Prime factors of 645 are 3 x 5 x 43

Prime factors of 699 are 3 x 233

The highest common occurrence is 3¹

Therefore, GCD of 714, 645, 645, 699 is 3.

Given numbers are 714, 645, 645, 699

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

Apply this formula for all numbers.

Step1:

LCM(714, 645) = 153510

GCD(714, 645) = ( 714 x 645 ) / 153510

= 714 / 645

= 714

Step2:

LCM(3, 645) = 645

GCD(3, 645) = ( 3 x 645 ) / 645

= 3 / 645

= 3

Step3:

LCM(3, 699) = 699

GCD(3, 699) = ( 3 x 699 ) / 699

= 3 / 699

= 3

So, Greatest Common Divisor of 714, 645, 645, 699 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 721, 384, 484, 649
• GCD of 414, 336, 494, 379
• GCD of 320, 232, 777, 111
• GCD of 994, 934, 520, 652
• GCD of 556, 993, 754, 840

Given numbers are 714, 645, 645, 699
The greatest common divisor of numbers 714, 645, 645, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 645, 645, 699 is 3.

1. What is the GCD of 714, 645, 645, 699?

GCD of given numbers 714, 645, 645, 699 is 3

2. How to calculate the greatest common divisor of 714, 645, 645, 699?

We can find the highest common divisor of 714, 645, 645, 699 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, 645, 645, 699 i.e 3.

3. How can I use the GCD of 714, 645, 645, 699Calculator?

Out the numbers 714, 645, 645, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.