GCD of 196, 940, 528, 886 Calculator

Given Input numbers are 196, 940, 528, 886

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

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

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Greatest Common Divisior

We found the divisors of 196, 940, 528, 886 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 940, 528, 886 is 2.

Therefore, GCD of numbers 196, 940, 528, 886 is 2

Given Input Data is 196, 940, 528, 886

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

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

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 886 is 2 x 443

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(196, 940) = 46060

GCD(196, 940) = ( 196 x 940 ) / 46060

GCD(196, 940) = 184240 / 46060

GCD(196, 940) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 528

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

LCM(4, 528) = 528

GCD(4, 528) = ( 4 x 528 ) / 528

GCD(4, 528) = 2112 / 528

GCD(4, 528) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 886

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

LCM(4, 886) = 1772

GCD(4, 886) = ( 4 x 886 ) / 1772

GCD(4, 886) = 3544 / 1772

GCD(4, 886) = 2

GCD of 196, 940, 528, 886 is 2

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1. What is the GCD of 196, 940, 528, 886?

GCD of 196, 940, 528, 886 is 2

2. Where do I get the detailed procedure to find GCD of 196, 940, 528, 886?

You can find a detailed procedure to find GCD of 196, 940, 528, 886 on our page.

3. How to find GCD of 196, 940, 528, 886 on a calculator?

You can find the GCD of 196, 940, 528, 886 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.