GCD of 632, 874, 50, 196 Calculator

Given Input numbers are 632, 874, 50, 196

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

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 50

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

1, 2, 5, 10, 25, 50

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Greatest Common Divisior

We found the divisors of 632, 874, 50, 196 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 632, 874, 50, 196 is 2.

Therefore, GCD of numbers 632, 874, 50, 196 is 2

Given Input Data is 632, 874, 50, 196

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

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 196 is 2 x 2 x 7 x 7

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(632, 874) = 276184

GCD(632, 874) = ( 632 x 874 ) / 276184

GCD(632, 874) = 552368 / 276184

GCD(632, 874) = 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 196

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

LCM(2, 196) = 196

GCD(2, 196) = ( 2 x 196 ) / 196

GCD(2, 196) = 392 / 196

GCD(2, 196) = 2

GCD of 632, 874, 50, 196 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 212, 378, 52, 489
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• GCD of 881, 959, 41, 787

1. What is the GCD of 632, 874, 50, 196?

GCD of 632, 874, 50, 196 is 2

2. Where do I get the detailed procedure to find GCD of 632, 874, 50, 196?

You can find a detailed procedure to find GCD of 632, 874, 50, 196 on our page.

3. How to find GCD of 632, 874, 50, 196 on a calculator?

You can find the GCD of 632, 874, 50, 196 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.