GCD of 351, 954, 175, 720 Calculator

Given Input numbers are 351, 954, 175, 720

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

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

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 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Greatest Common Divisior

We found the divisors of 351, 954, 175, 720 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 954, 175, 720 is 1.

Therefore, GCD of numbers 351, 954, 175, 720 is 1

Given Input Data is 351, 954, 175, 720

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

Prime Factorization of 351 is 3 x 3 x 3 x 13

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

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

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

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(351, 954) = 37206

GCD(351, 954) = ( 351 x 954 ) / 37206

GCD(351, 954) = 334854 / 37206

GCD(351, 954) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 175

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

LCM(9, 175) = 1575

GCD(9, 175) = ( 9 x 175 ) / 1575

GCD(9, 175) = 1575 / 1575

GCD(9, 175) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 720

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

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

GCD(1, 720) = 720 / 720

GCD(1, 720) = 1

GCD of 351, 954, 175, 720 is 1

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1. What is the GCD of 351, 954, 175, 720?

GCD of 351, 954, 175, 720 is 1

2. Where do I get the detailed procedure to find GCD of 351, 954, 175, 720?

You can find a detailed procedure to find GCD of 351, 954, 175, 720 on our page.

3. How to find GCD of 351, 954, 175, 720 on a calculator?

You can find the GCD of 351, 954, 175, 720 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.