GCD of 300, 714, 203, 133 Calculator

Given Input numbers are 300, 714, 203, 133

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

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

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 203 :

The positive integer divisors of 203 that completely divides 203 are.

1, 7, 29, 203

Divisors of 133 :

The positive integer divisors of 133 that completely divides 133 are.

1, 7, 19, 133

GCD of numbers is the greatest common divisor

So, the GCD (300, 714, 203, 133) = 1.

Given numbers are 300, 714, 203, 133

The list of prime factors of all numbers are

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

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

Prime factors of 203 are 7 x 29

Prime factors of 133 are 7 x 19

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

Given numbers are 300, 714, 203, 133

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

Apply this formula for all numbers.

Step1:

LCM(300, 714) = 35700

GCD(300, 714) = ( 300 x 714 ) / 35700

= 300 / 714

= 300

Step2:

LCM(6, 203) = 1218

GCD(6, 203) = ( 6 x 203 ) / 1218

= 6 / 203

= 6

Step3:

LCM(1, 133) = 133

GCD(1, 133) = ( 1 x 133 ) / 133

= 1 / 133

= 1

So, Greatest Common Divisor of 300, 714, 203, 133 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 288, 213, 139, 993
• GCD of 292, 534, 820, 301
• GCD of 324, 407, 282, 844
• GCD of 949, 170, 846, 570
• GCD of 885, 963, 708, 229

Given numbers are 300, 714, 203, 133
The greatest common divisor of numbers 300, 714, 203, 133 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 714, 203, 133 is 1.

1. What is the GCD of 300, 714, 203, 133?

GCD of given numbers 300, 714, 203, 133 is 1

2. How to calculate the greatest common divisor of 300, 714, 203, 133?

We can find the highest common divisor of 300, 714, 203, 133 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 300, 714, 203, 133 i.e 1.

3. How can I use the GCD of 300, 714, 203, 133Calculator?

Out the numbers 300, 714, 203, 133 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.