GCD of 200, 745, 215, 714 Calculator

Given Input numbers are 200, 745, 215, 714

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

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 215 :

The positive integer divisors of 215 that completely divides 215 are.

1, 5, 43, 215

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 (200, 745, 215, 714) = 1.

Given numbers are 200, 745, 215, 714

The list of prime factors of all numbers are

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 745 are 5 x 149

Prime factors of 215 are 5 x 43

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 200, 745, 215, 714

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

Apply this formula for all numbers.

Step1:

LCM(200, 745) = 29800

GCD(200, 745) = ( 200 x 745 ) / 29800

= 200 / 745

= 200

Step2:

LCM(5, 215) = 215

GCD(5, 215) = ( 5 x 215 ) / 215

= 5 / 215

= 5

Step3:

LCM(5, 714) = 3570

GCD(5, 714) = ( 5 x 714 ) / 3570

= 5 / 714

= 5

So, Greatest Common Divisor of 200, 745, 215, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 888, 420, 700, 496
• GCD of 909, 757, 840, 247
• GCD of 962, 727, 301, 463
• GCD of 377, 608, 388, 648
• GCD of 718, 503, 317, 283

Given numbers are 200, 745, 215, 714
The greatest common divisor of numbers 200, 745, 215, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 200, 745, 215, 714 is 1.

1. What is the GCD of 200, 745, 215, 714?

GCD of given numbers 200, 745, 215, 714 is 1

2. How to calculate the greatest common divisor of 200, 745, 215, 714?

We can find the highest common divisor of 200, 745, 215, 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 200, 745, 215, 714 i.e 1.

3. How can I use the GCD of 200, 745, 215, 714Calculator?

Out the numbers 200, 745, 215, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.