GCD of 700, 729, 187, 714 Calculator

Given Input numbers are 700, 729, 187, 714

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

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 187 :

The positive integer divisors of 187 that completely divides 187 are.

1, 11, 17, 187

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 (700, 729, 187, 714) = 1.

Given numbers are 700, 729, 187, 714

The list of prime factors of all numbers are

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 187 are 11 x 17

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 700, 729, 187, 714

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

Apply this formula for all numbers.

Step1:

LCM(700, 729) = 510300

GCD(700, 729) = ( 700 x 729 ) / 510300

= 700 / 729

= 700

Step2:

LCM(1, 187) = 187

GCD(1, 187) = ( 1 x 187 ) / 187

= 1 / 187

= 1

Step3:

LCM(1, 714) = 714

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

= 1 / 714

= 1

So, Greatest Common Divisor of 700, 729, 187, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 920, 504, 386, 288
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• GCD of 854, 948, 964, 515

Given numbers are 700, 729, 187, 714
The greatest common divisor of numbers 700, 729, 187, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 729, 187, 714 is 1.

1. What is the GCD of 700, 729, 187, 714?

GCD of given numbers 700, 729, 187, 714 is 1

2. How to calculate the greatest common divisor of 700, 729, 187, 714?

We can find the highest common divisor of 700, 729, 187, 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 700, 729, 187, 714 i.e 1.

3. How can I use the GCD of 700, 729, 187, 714Calculator?

Out the numbers 700, 729, 187, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.