GCD of 141, 600, 84, 354 Calculator

Given Input numbers are 141, 600, 84, 354

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

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 600

List of positive integer divisors of 600 that divides 600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 354

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

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

Greatest Common Divisior

We found the divisors of 141, 600, 84, 354 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 141, 600, 84, 354 is 3.

Therefore, GCD of numbers 141, 600, 84, 354 is 3

Given Input Data is 141, 600, 84, 354

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

Prime Factorization of 141 is 3 x 47

Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 354 is 2 x 3 x 59

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(141, 600) = 28200

GCD(141, 600) = ( 141 x 600 ) / 28200

GCD(141, 600) = 84600 / 28200

GCD(141, 600) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 84

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

LCM(3, 84) = 84

GCD(3, 84) = ( 3 x 84 ) / 84

GCD(3, 84) = 252 / 84

GCD(3, 84) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 354

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

LCM(3, 354) = 354

GCD(3, 354) = ( 3 x 354 ) / 354

GCD(3, 354) = 1062 / 354

GCD(3, 354) = 3

GCD of 141, 600, 84, 354 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 254, 720, 96, 344
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• GCD of 698, 614, 76, 956
• GCD of 105, 712, 46, 310
• GCD of 126, 325, 92, 337

1. What is the GCD of 141, 600, 84, 354?

GCD of 141, 600, 84, 354 is 3

2. Where do I get the detailed procedure to find GCD of 141, 600, 84, 354?

You can find a detailed procedure to find GCD of 141, 600, 84, 354 on our page.

3. How to find GCD of 141, 600, 84, 354 on a calculator?

You can find the GCD of 141, 600, 84, 354 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.