GCD of 850, 826, 50, 132 Calculator

Given Input numbers are 850, 826, 50, 132

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

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Greatest Common Divisior

We found the divisors of 850, 826, 50, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 826, 50, 132 is 2.

Therefore, GCD of numbers 850, 826, 50, 132 is 2

Given Input Data is 850, 826, 50, 132

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

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 132 is 2 x 2 x 3 x 11

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(850, 826) = 351050

GCD(850, 826) = ( 850 x 826 ) / 351050

GCD(850, 826) = 702100 / 351050

GCD(850, 826) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 132

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

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

GCD(2, 132) = 264 / 132

GCD(2, 132) = 2

GCD of 850, 826, 50, 132 is 2

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• GCD of 837, 950, 74, 526
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• GCD of 955, 528, 96, 918

1. What is the GCD of 850, 826, 50, 132?

GCD of 850, 826, 50, 132 is 2

2. Where do I get the detailed procedure to find GCD of 850, 826, 50, 132?

You can find a detailed procedure to find GCD of 850, 826, 50, 132 on our page.

3. How to find GCD of 850, 826, 50, 132 on a calculator?

You can find the GCD of 850, 826, 50, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.