GCD of 232, 390, 126, 714 Calculator

Given Input numbers are 232, 390, 126, 714

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

Divisors of 232 :

The positive integer divisors of 232 that completely divides 232 are.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

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

GCD of numbers is the greatest common divisor

So, the GCD (232, 390, 126, 714) = 2.

Given numbers are 232, 390, 126, 714

The list of prime factors of all numbers are

Prime factors of 232 are 2 x 2 x 2 x 29

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 126 are 2 x 3 x 3 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 232, 390, 126, 714 is 2.

Given numbers are 232, 390, 126, 714

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

Apply this formula for all numbers.

Step1:

LCM(232, 390) = 45240

GCD(232, 390) = ( 232 x 390 ) / 45240

= 232 / 390

= 232

Step2:

LCM(2, 126) = 126

GCD(2, 126) = ( 2 x 126 ) / 126

= 2 / 126

= 2

Step3:

LCM(2, 714) = 714

GCD(2, 714) = ( 2 x 714 ) / 714

= 2 / 714

= 2

So, Greatest Common Divisor of 232, 390, 126, 714 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 194, 326, 222, 690
• GCD of 971, 927, 368, 899
• GCD of 236, 801, 932, 763
• GCD of 923, 305, 126, 725
• GCD of 898, 287, 970, 108

Given numbers are 232, 390, 126, 714
The greatest common divisor of numbers 232, 390, 126, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 232, 390, 126, 714 is 2.

1. What is the GCD of 232, 390, 126, 714?

GCD of given numbers 232, 390, 126, 714 is 2

2. How to calculate the greatest common divisor of 232, 390, 126, 714?

We can find the highest common divisor of 232, 390, 126, 714 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 232, 390, 126, 714 i.e 2.

3. How can I use the GCD of 232, 390, 126, 714Calculator?

Out the numbers 232, 390, 126, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.