GCD of 532, 901, 749, 954 Calculator

Given Input numbers are 532, 901, 749, 954

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

Divisors of 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 901

List of positive integer divisors of 901 that divides 901 without a remainder.

1, 17, 53, 901

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

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

Greatest Common Divisior

We found the divisors of 532, 901, 749, 954 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 532, 901, 749, 954 is 1.

Therefore, GCD of numbers 532, 901, 749, 954 is 1

Given Input Data is 532, 901, 749, 954

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

Prime Factorization of 532 is 2 x 2 x 7 x 19

Prime Factorization of 901 is 17 x 53

Prime Factorization of 749 is 7 x 107

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

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(532, 901) = 479332

GCD(532, 901) = ( 532 x 901 ) / 479332

GCD(532, 901) = 479332 / 479332

GCD(532, 901) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 749

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

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

GCD(1, 749) = 749 / 749

GCD(1, 749) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 954

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

LCM(1, 954) = 954

GCD(1, 954) = ( 1 x 954 ) / 954

GCD(1, 954) = 954 / 954

GCD(1, 954) = 1

GCD of 532, 901, 749, 954 is 1

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1. What is the GCD of 532, 901, 749, 954?

GCD of 532, 901, 749, 954 is 1

2. Where do I get the detailed procedure to find GCD of 532, 901, 749, 954?

You can find a detailed procedure to find GCD of 532, 901, 749, 954 on our page.

3. How to find GCD of 532, 901, 749, 954 on a calculator?

You can find the GCD of 532, 901, 749, 954 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.