GCD of 630, 150, 714, 627 Calculator

Given Input numbers are 630, 150, 714, 627

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 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

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 627 :

The positive integer divisors of 627 that completely divides 627 are.

1, 3, 11, 19, 33, 57, 209, 627

GCD of numbers is the greatest common divisor

So, the GCD (630, 150, 714, 627) = 3.

Given numbers are 630, 150, 714, 627

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 150 are 2 x 3 x 5 x 5

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

Prime factors of 627 are 3 x 11 x 19

The highest common occurrence is 3¹

Therefore, GCD of 630, 150, 714, 627 is 3.

Given numbers are 630, 150, 714, 627

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

Apply this formula for all numbers.

Step1:

LCM(630, 150) = 3150

GCD(630, 150) = ( 630 x 150 ) / 3150

= 630 / 150

= 630

Step2:

LCM(30, 714) = 3570

GCD(30, 714) = ( 30 x 714 ) / 3570

= 30 / 714

= 30

Step3:

LCM(6, 627) = 1254

GCD(6, 627) = ( 6 x 627 ) / 1254

= 6 / 627

= 6

So, Greatest Common Divisor of 630, 150, 714, 627 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 575, 646, 104, 474
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• GCD of 178, 755, 131, 236

Given numbers are 630, 150, 714, 627
The greatest common divisor of numbers 630, 150, 714, 627 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 150, 714, 627 is 3.

1. What is the GCD of 630, 150, 714, 627?

GCD of given numbers 630, 150, 714, 627 is 3

2. How to calculate the greatest common divisor of 630, 150, 714, 627?

We can find the highest common divisor of 630, 150, 714, 627 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, 150, 714, 627 i.e 3.

3. How can I use the GCD of 630, 150, 714, 627Calculator?

Out the numbers 630, 150, 714, 627 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.