GCD of 714, 123, 637, 468 Calculator

Given Input numbers are 714, 123, 637, 468

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

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 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 637 :

The positive integer divisors of 637 that completely divides 637 are.

1, 7, 13, 49, 91, 637

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

GCD of numbers is the greatest common divisor

So, the GCD (714, 123, 637, 468) = 1.

Given numbers are 714, 123, 637, 468

The list of prime factors of all numbers are

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

Prime factors of 123 are 3 x 41

Prime factors of 637 are 7 x 7 x 13

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

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

Given numbers are 714, 123, 637, 468

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

Apply this formula for all numbers.

Step1:

LCM(714, 123) = 29274

GCD(714, 123) = ( 714 x 123 ) / 29274

= 714 / 123

= 714

Step2:

LCM(3, 637) = 1911

GCD(3, 637) = ( 3 x 637 ) / 1911

= 3 / 637

= 3

Step3:

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

= 1 / 468

= 1

So, Greatest Common Divisor of 714, 123, 637, 468 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 245, 819, 913, 984
• GCD of 673, 784, 717, 545
• GCD of 844, 213, 971, 751
• GCD of 584, 727, 420, 572
• GCD of 490, 599, 158, 496

Given numbers are 714, 123, 637, 468
The greatest common divisor of numbers 714, 123, 637, 468 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 123, 637, 468 is 1.

1. What is the GCD of 714, 123, 637, 468?

GCD of given numbers 714, 123, 637, 468 is 1

2. How to calculate the greatest common divisor of 714, 123, 637, 468?

We can find the highest common divisor of 714, 123, 637, 468 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 714, 123, 637, 468 i.e 1.

3. How can I use the GCD of 714, 123, 637, 468Calculator?

Out the numbers 714, 123, 637, 468 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.