GCD of 930, 147, 51, 525 Calculator

Given Input numbers are 930, 147, 51, 525

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

Divisors of 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 147

List of positive integer divisors of 147 that divides 147 without a remainder.

1, 3, 7, 21, 49, 147

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Greatest Common Divisior

We found the divisors of 930, 147, 51, 525 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 930, 147, 51, 525 is 3.

Therefore, GCD of numbers 930, 147, 51, 525 is 3

Given Input Data is 930, 147, 51, 525

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

Prime Factorization of 930 is 2 x 3 x 5 x 31

Prime Factorization of 147 is 3 x 7 x 7

Prime Factorization of 51 is 3 x 17

Prime Factorization of 525 is 3 x 5 x 5 x 7

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(930, 147) = 45570

GCD(930, 147) = ( 930 x 147 ) / 45570

GCD(930, 147) = 136710 / 45570

GCD(930, 147) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 51

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

LCM(3, 51) = 51

GCD(3, 51) = ( 3 x 51 ) / 51

GCD(3, 51) = 153 / 51

GCD(3, 51) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 525

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

LCM(3, 525) = 525

GCD(3, 525) = ( 3 x 525 ) / 525

GCD(3, 525) = 1575 / 525

GCD(3, 525) = 3

GCD of 930, 147, 51, 525 is 3

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1. What is the GCD of 930, 147, 51, 525?

GCD of 930, 147, 51, 525 is 3

2. Where do I get the detailed procedure to find GCD of 930, 147, 51, 525?

You can find a detailed procedure to find GCD of 930, 147, 51, 525 on our page.

3. How to find GCD of 930, 147, 51, 525 on a calculator?

You can find the GCD of 930, 147, 51, 525 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.