GCD of 630, 954, 660, 723 Calculator

Given Input numbers are 630, 954, 660, 723

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 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

GCD of numbers is the greatest common divisor

So, the GCD (630, 954, 660, 723) = 3.

Given numbers are 630, 954, 660, 723

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 954 are 2 x 3 x 3 x 53

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 723 are 3 x 241

The highest common occurrence is 3¹

Therefore, GCD of 630, 954, 660, 723 is 3.

Given numbers are 630, 954, 660, 723

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

Apply this formula for all numbers.

Step1:

LCM(630, 954) = 33390

GCD(630, 954) = ( 630 x 954 ) / 33390

= 630 / 954

= 630

Step2:

LCM(18, 660) = 1980

GCD(18, 660) = ( 18 x 660 ) / 1980

= 18 / 660

= 18

Step3:

LCM(6, 723) = 1446

GCD(6, 723) = ( 6 x 723 ) / 1446

= 6 / 723

= 6

So, Greatest Common Divisor of 630, 954, 660, 723 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 426, 113, 568, 929
• GCD of 156, 624, 341, 528
• GCD of 665, 624, 770, 310
• GCD of 877, 204, 621, 432
• GCD of 653, 384, 487, 122

Given numbers are 630, 954, 660, 723
The greatest common divisor of numbers 630, 954, 660, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 954, 660, 723 is 3.

1. What is the GCD of 630, 954, 660, 723?

GCD of given numbers 630, 954, 660, 723 is 3

2. How to calculate the greatest common divisor of 630, 954, 660, 723?

We can find the highest common divisor of 630, 954, 660, 723 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, 954, 660, 723 i.e 3.

3. How can I use the GCD of 630, 954, 660, 723Calculator?

Out the numbers 630, 954, 660, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.