GCD of 141, 300, 954, 714 Calculator

Given Input numbers are 141, 300, 954, 714

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 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Greatest Common Divisior

We found the divisors of 141, 300, 954, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 141, 300, 954, 714 is 3.

Therefore, GCD of numbers 141, 300, 954, 714 is 3

Given Input Data is 141, 300, 954, 714

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

Prime Factorization of 141 is 3 x 47

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 714 is 2 x 3 x 7 x 17

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, 300) = 14100

GCD(141, 300) = ( 141 x 300 ) / 14100

GCD(141, 300) = 42300 / 14100

GCD(141, 300) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 954

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

LCM(3, 954) = 954

GCD(3, 954) = ( 3 x 954 ) / 954

GCD(3, 954) = 2862 / 954

GCD(3, 954) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 714

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

LCM(3, 714) = 714

GCD(3, 714) = ( 3 x 714 ) / 714

GCD(3, 714) = 2142 / 714

GCD(3, 714) = 3

GCD of 141, 300, 954, 714 is 3

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• GCD of 500, 315, 502, 978
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• GCD of 791, 424, 451, 741

1. What is the GCD of 141, 300, 954, 714?

GCD of 141, 300, 954, 714 is 3

2. Where do I get the detailed procedure to find GCD of 141, 300, 954, 714?

You can find a detailed procedure to find GCD of 141, 300, 954, 714 on our page.

3. How to find GCD of 141, 300, 954, 714 on a calculator?

You can find the GCD of 141, 300, 954, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.