GCD of 296, 336, 832, 432 Calculator

Given Input numbers are 296, 336, 832, 432

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

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

GCD of numbers is the greatest common divisor

So, the GCD (296, 336, 832, 432) = 8.

Given numbers are 296, 336, 832, 432

The list of prime factors of all numbers are

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2³

Therefore, GCD of 296, 336, 832, 432 is 8.

Given numbers are 296, 336, 832, 432

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

Apply this formula for all numbers.

Step1:

LCM(296, 336) = 12432

GCD(296, 336) = ( 296 x 336 ) / 12432

= 296 / 336

= 296

Step2:

LCM(8, 832) = 832

GCD(8, 832) = ( 8 x 832 ) / 832

= 8 / 832

= 8

Step3:

LCM(8, 432) = 432

GCD(8, 432) = ( 8 x 432 ) / 432

= 8 / 432

= 8

So, Greatest Common Divisor of 296, 336, 832, 432 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 575, 453, 783, 313
• GCD of 563, 105, 995, 328
• GCD of 458, 519, 549, 666
• GCD of 579, 648, 649, 161
• GCD of 137, 148, 186, 408

Given numbers are 296, 336, 832, 432
The greatest common divisor of numbers 296, 336, 832, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 336, 832, 432 is 8.

1. What is the GCD of 296, 336, 832, 432?

GCD of given numbers 296, 336, 832, 432 is 8

2. How to calculate the greatest common divisor of 296, 336, 832, 432?

We can find the highest common divisor of 296, 336, 832, 432 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 296, 336, 832, 432 i.e 8.

3. How can I use the GCD of 296, 336, 832, 432Calculator?

Out the numbers 296, 336, 832, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.