GCD of 232, 340, 756, 348 Calculator

Given Input numbers are 232, 340, 756, 348

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 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

GCD of numbers is the greatest common divisor

So, the GCD (232, 340, 756, 348) = 4.

Given numbers are 232, 340, 756, 348

The list of prime factors of all numbers are

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

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 348 are 2 x 2 x 3 x 29

The highest common occurrence is 2²

Therefore, GCD of 232, 340, 756, 348 is 4.

Given numbers are 232, 340, 756, 348

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

Apply this formula for all numbers.

Step1:

LCM(232, 340) = 19720

GCD(232, 340) = ( 232 x 340 ) / 19720

= 232 / 340

= 232

Step2:

LCM(4, 756) = 756

GCD(4, 756) = ( 4 x 756 ) / 756

= 4 / 756

= 4

Step3:

LCM(4, 348) = 348

GCD(4, 348) = ( 4 x 348 ) / 348

= 4 / 348

= 4

So, Greatest Common Divisor of 232, 340, 756, 348 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 757, 141, 668, 117
• GCD of 480, 536, 597, 951
• GCD of 201, 300, 229, 838
• GCD of 116, 203, 562, 211
• GCD of 527, 508, 505, 484

Given numbers are 232, 340, 756, 348
The greatest common divisor of numbers 232, 340, 756, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 232, 340, 756, 348 is 4.

1. What is the GCD of 232, 340, 756, 348?

GCD of given numbers 232, 340, 756, 348 is 4

2. How to calculate the greatest common divisor of 232, 340, 756, 348?

We can find the highest common divisor of 232, 340, 756, 348 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, 340, 756, 348 i.e 4.

3. How can I use the GCD of 232, 340, 756, 348Calculator?

Out the numbers 232, 340, 756, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.