GCD of 354, 102, 93, 435 Calculator

Given Input numbers are 354, 102, 93, 435

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

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 93

List of positive integer divisors of 93 that divides 93 without a remainder.

1, 3, 31, 93

Divisors of 435

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

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

Greatest Common Divisior

We found the divisors of 354, 102, 93, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 354, 102, 93, 435 is 3.

Therefore, GCD of numbers 354, 102, 93, 435 is 3

Given Input Data is 354, 102, 93, 435

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 93 is 3 x 31

Prime Factorization of 435 is 3 x 5 x 29

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(354, 102) = 6018

GCD(354, 102) = ( 354 x 102 ) / 6018

GCD(354, 102) = 36108 / 6018

GCD(354, 102) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 93

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

LCM(6, 93) = 186

GCD(6, 93) = ( 6 x 93 ) / 186

GCD(6, 93) = 558 / 186

GCD(6, 93) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 435

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

LCM(3, 435) = 435

GCD(3, 435) = ( 3 x 435 ) / 435

GCD(3, 435) = 1305 / 435

GCD(3, 435) = 3

GCD of 354, 102, 93, 435 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 610, 526, 41, 877
• GCD of 314, 462, 63, 407
• GCD of 297, 161, 34, 851
• GCD of 596, 205, 55, 597
• GCD of 551, 366, 50, 652

1. What is the GCD of 354, 102, 93, 435?

GCD of 354, 102, 93, 435 is 3

2. Where do I get the detailed procedure to find GCD of 354, 102, 93, 435?

You can find a detailed procedure to find GCD of 354, 102, 93, 435 on our page.

3. How to find GCD of 354, 102, 93, 435 on a calculator?

You can find the GCD of 354, 102, 93, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.