GCD of 432, 898, 120, 348 Calculator

Given Input numbers are 432, 898, 120, 348

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

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 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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 (432, 898, 120, 348) = 2.

Given numbers are 432, 898, 120, 348

The list of prime factors of all numbers are

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

Prime factors of 898 are 2 x 449

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 432, 898, 120, 348 is 2.

Given numbers are 432, 898, 120, 348

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

Apply this formula for all numbers.

Step1:

LCM(432, 898) = 193968

GCD(432, 898) = ( 432 x 898 ) / 193968

= 432 / 898

= 432

Step2:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

Step3:

LCM(2, 348) = 348

GCD(2, 348) = ( 2 x 348 ) / 348

= 2 / 348

= 2

So, Greatest Common Divisor of 432, 898, 120, 348 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 671, 484, 237, 455
• GCD of 992, 152, 844, 865
• GCD of 423, 100, 320, 378
• GCD of 994, 705, 940, 164
• GCD of 713, 129, 932, 953

Given numbers are 432, 898, 120, 348
The greatest common divisor of numbers 432, 898, 120, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 432, 898, 120, 348 is 2.

1. What is the GCD of 432, 898, 120, 348?

GCD of given numbers 432, 898, 120, 348 is 2

2. How to calculate the greatest common divisor of 432, 898, 120, 348?

We can find the highest common divisor of 432, 898, 120, 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 432, 898, 120, 348 i.e 2.

3. How can I use the GCD of 432, 898, 120, 348Calculator?

Out the numbers 432, 898, 120, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.