GCD of 350, 435, 90 Calculator

Given Input numbers are 350, 435, 90

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 435

List of positive integer divisors of 435 that divides 435 without a remainder.

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

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Greatest Common Divisior

We found the divisors of 350, 435, 90 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 435, 90 is 5.

Therefore, GCD of numbers 350, 435, 90 is 5

Given Input Data is 350, 435, 90

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 435 is 3 x 5 x 29

Prime Factorization of 90 is 2 x 3 x 3 x 5

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

Step1:

Let's calculate the GCD of first two numbers

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

LCM(350, 435) = 30450

GCD(350, 435) = ( 350 x 435 ) / 30450

GCD(350, 435) = 152250 / 30450

GCD(350, 435) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 90

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

LCM(5, 90) = 90

GCD(5, 90) = ( 5 x 90 ) / 90

GCD(5, 90) = 450 / 90

GCD(5, 90) = 5

GCD of 350, 435, 90 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 587, 731, 40
• GCD of 485, 762, 66
• GCD of 929, 371, 76
• GCD of 729, 243, 86
• GCD of 438, 173, 76

1. What is the GCD of 350, 435, 90?

GCD of 350, 435, 90 is 5

2. Where do I get the detailed procedure to find GCD of 350, 435, 90?

You can find a detailed procedure to find GCD of 350, 435, 90 on our page.

3. How to find GCD of 350, 435, 90 on a calculator?

You can find the GCD of 350, 435, 90 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.