GCD of 630, 726, 300, 195 Calculator

Given Input numbers are 630, 726, 300, 195

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

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

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 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

GCD of numbers is the greatest common divisor

So, the GCD (630, 726, 300, 195) = 3.

Given numbers are 630, 726, 300, 195

The list of prime factors of all numbers are

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

Prime factors of 726 are 2 x 3 x 11 x 11

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

Prime factors of 195 are 3 x 5 x 13

The highest common occurrence is 3¹

Therefore, GCD of 630, 726, 300, 195 is 3.

Given numbers are 630, 726, 300, 195

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

Apply this formula for all numbers.

Step1:

LCM(630, 726) = 76230

GCD(630, 726) = ( 630 x 726 ) / 76230

= 630 / 726

= 630

Step2:

LCM(6, 300) = 300

GCD(6, 300) = ( 6 x 300 ) / 300

= 6 / 300

= 6

Step3:

LCM(6, 195) = 390

GCD(6, 195) = ( 6 x 195 ) / 390

= 6 / 195

= 6

So, Greatest Common Divisor of 630, 726, 300, 195 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 846, 737, 980, 918
• GCD of 727, 827, 403, 121
• GCD of 835, 453, 241, 586
• GCD of 150, 780, 149, 756
• GCD of 463, 527, 402, 800

Given numbers are 630, 726, 300, 195
The greatest common divisor of numbers 630, 726, 300, 195 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 726, 300, 195 is 3.

1. What is the GCD of 630, 726, 300, 195?

GCD of given numbers 630, 726, 300, 195 is 3

2. How to calculate the greatest common divisor of 630, 726, 300, 195?

We can find the highest common divisor of 630, 726, 300, 195 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 630, 726, 300, 195 i.e 3.

3. How can I use the GCD of 630, 726, 300, 195Calculator?

Out the numbers 630, 726, 300, 195 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.