GCD of 435, 120, 221, 328 Calculator

Given Input numbers are 435, 120, 221, 328

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

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

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 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

GCD of numbers is the greatest common divisor

So, the GCD (435, 120, 221, 328) = 1.

Given numbers are 435, 120, 221, 328

The list of prime factors of all numbers are

Prime factors of 435 are 3 x 5 x 29

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

Prime factors of 221 are 13 x 17

Prime factors of 328 are 2 x 2 x 2 x 41

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 435, 120, 221, 328

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

Apply this formula for all numbers.

Step1:

LCM(435, 120) = 3480

GCD(435, 120) = ( 435 x 120 ) / 3480

= 435 / 120

= 435

Step2:

LCM(15, 221) = 3315

GCD(15, 221) = ( 15 x 221 ) / 3315

= 15 / 221

= 15

Step3:

LCM(1, 328) = 328

GCD(1, 328) = ( 1 x 328 ) / 328

= 1 / 328

= 1

So, Greatest Common Divisor of 435, 120, 221, 328 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 375, 380, 586, 698
• GCD of 357, 732, 824, 183
• GCD of 136, 621, 246, 163
• GCD of 497, 155, 992, 706
• GCD of 433, 305, 594, 276

Given numbers are 435, 120, 221, 328
The greatest common divisor of numbers 435, 120, 221, 328 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 435, 120, 221, 328 is 1.

1. What is the GCD of 435, 120, 221, 328?

GCD of given numbers 435, 120, 221, 328 is 1

2. How to calculate the greatest common divisor of 435, 120, 221, 328?

We can find the highest common divisor of 435, 120, 221, 328 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 435, 120, 221, 328 i.e 1.

3. How can I use the GCD of 435, 120, 221, 328Calculator?

Out the numbers 435, 120, 221, 328 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.