GCD of 196, 841, 154, 748 Calculator

Given Input numbers are 196, 841, 154, 748

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 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Greatest Common Divisior

We found the divisors of 196, 841, 154, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 841, 154, 748 is 1.

Therefore, GCD of numbers 196, 841, 154, 748 is 1

Given Input Data is 196, 841, 154, 748

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 841 is 29 x 29

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 748 is 2 x 2 x 11 x 17

The above numbers do not have any common prime factor. So GCD is 1

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, 841) = 164836

GCD(196, 841) = ( 196 x 841 ) / 164836

GCD(196, 841) = 164836 / 164836

GCD(196, 841) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 154

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

LCM(1, 154) = 154

GCD(1, 154) = ( 1 x 154 ) / 154

GCD(1, 154) = 154 / 154

GCD(1, 154) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

GCD of 196, 841, 154, 748 is 1

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1. What is the GCD of 196, 841, 154, 748?

GCD of 196, 841, 154, 748 is 1

2. Where do I get the detailed procedure to find GCD of 196, 841, 154, 748?

You can find a detailed procedure to find GCD of 196, 841, 154, 748 on our page.

3. How to find GCD of 196, 841, 154, 748 on a calculator?

You can find the GCD of 196, 841, 154, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.