GCD of 958, 988, 576, 532 Calculator

Given Input numbers are 958, 988, 576, 532

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

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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

Greatest Common Divisior

We found the divisors of 958, 988, 576, 532 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 958, 988, 576, 532 is 2.

Therefore, GCD of numbers 958, 988, 576, 532 is 2

Given Input Data is 958, 988, 576, 532

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

Prime Factorization of 958 is 2 x 479

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(958, 988) = 473252

GCD(958, 988) = ( 958 x 988 ) / 473252

GCD(958, 988) = 946504 / 473252

GCD(958, 988) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 576

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

LCM(2, 576) = 576

GCD(2, 576) = ( 2 x 576 ) / 576

GCD(2, 576) = 1152 / 576

GCD(2, 576) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 532

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

LCM(2, 532) = 532

GCD(2, 532) = ( 2 x 532 ) / 532

GCD(2, 532) = 1064 / 532

GCD(2, 532) = 2

GCD of 958, 988, 576, 532 is 2

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1. What is the GCD of 958, 988, 576, 532?

GCD of 958, 988, 576, 532 is 2

2. Where do I get the detailed procedure to find GCD of 958, 988, 576, 532?

You can find a detailed procedure to find GCD of 958, 988, 576, 532 on our page.

3. How to find GCD of 958, 988, 576, 532 on a calculator?

You can find the GCD of 958, 988, 576, 532 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.