GCD of 526, 950, 760, 582 Calculator

Given Input numbers are 526, 950, 760, 582

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

Divisors of 526

List of positive integer divisors of 526 that divides 526 without a remainder.

1, 2, 263, 526

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Greatest Common Divisior

We found the divisors of 526, 950, 760, 582 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 526, 950, 760, 582 is 2.

Therefore, GCD of numbers 526, 950, 760, 582 is 2

Given Input Data is 526, 950, 760, 582

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

Prime Factorization of 526 is 2 x 263

Prime Factorization of 950 is 2 x 5 x 5 x 19

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 582 is 2 x 3 x 97

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(526, 950) = 249850

GCD(526, 950) = ( 526 x 950 ) / 249850

GCD(526, 950) = 499700 / 249850

GCD(526, 950) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 760

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

LCM(2, 760) = 760

GCD(2, 760) = ( 2 x 760 ) / 760

GCD(2, 760) = 1520 / 760

GCD(2, 760) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 582

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

LCM(2, 582) = 582

GCD(2, 582) = ( 2 x 582 ) / 582

GCD(2, 582) = 1164 / 582

GCD(2, 582) = 2

GCD of 526, 950, 760, 582 is 2

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1. What is the GCD of 526, 950, 760, 582?

GCD of 526, 950, 760, 582 is 2

2. Where do I get the detailed procedure to find GCD of 526, 950, 760, 582?

You can find a detailed procedure to find GCD of 526, 950, 760, 582 on our page.

3. How to find GCD of 526, 950, 760, 582 on a calculator?

You can find the GCD of 526, 950, 760, 582 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.