GCD of 296, 392, 432, 648 Calculator

Given Input numbers are 296, 392, 432, 648

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 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

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

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

GCD of numbers is the greatest common divisor

So, the GCD (296, 392, 432, 648) = 8.

Given numbers are 296, 392, 432, 648

The list of prime factors of all numbers are

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

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

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

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2³

Therefore, GCD of 296, 392, 432, 648 is 8.

Given numbers are 296, 392, 432, 648

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

Apply this formula for all numbers.

Step1:

LCM(296, 392) = 14504

GCD(296, 392) = ( 296 x 392 ) / 14504

= 296 / 392

= 296

Step2:

LCM(8, 432) = 432

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

= 8 / 432

= 8

Step3:

LCM(8, 648) = 648

GCD(8, 648) = ( 8 x 648 ) / 648

= 8 / 648

= 8

So, Greatest Common Divisor of 296, 392, 432, 648 is 8

Here are some samples of GCD of Numbers calculations.

• GCD of 826, 938, 981, 850
• GCD of 995, 835, 981, 726
• GCD of 531, 913, 774, 554
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• GCD of 958, 774, 674, 695

Given numbers are 296, 392, 432, 648
The greatest common divisor of numbers 296, 392, 432, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 296, 392, 432, 648 is 8.

1. What is the GCD of 296, 392, 432, 648?

GCD of given numbers 296, 392, 432, 648 is 8

2. How to calculate the greatest common divisor of 296, 392, 432, 648?

We can find the highest common divisor of 296, 392, 432, 648 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, 392, 432, 648 i.e 8.

3. How can I use the GCD of 296, 392, 432, 648Calculator?

Out the numbers 296, 392, 432, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.