GCD of 156, 446, 98, 742 Calculator

Given Input numbers are 156, 446, 98, 742

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

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Greatest Common Divisior

We found the divisors of 156, 446, 98, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 446, 98, 742 is 2.

Therefore, GCD of numbers 156, 446, 98, 742 is 2

Given Input Data is 156, 446, 98, 742

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

Prime Factorization of 156 is 2 x 2 x 3 x 13

Prime Factorization of 446 is 2 x 223

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 742 is 2 x 7 x 53

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(156, 446) = 34788

GCD(156, 446) = ( 156 x 446 ) / 34788

GCD(156, 446) = 69576 / 34788

GCD(156, 446) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 98

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

LCM(2, 98) = 98

GCD(2, 98) = ( 2 x 98 ) / 98

GCD(2, 98) = 196 / 98

GCD(2, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 742

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

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

GCD(2, 742) = 1484 / 742

GCD(2, 742) = 2

GCD of 156, 446, 98, 742 is 2

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• GCD of 527, 525, 18, 421
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1. What is the GCD of 156, 446, 98, 742?

GCD of 156, 446, 98, 742 is 2

2. Where do I get the detailed procedure to find GCD of 156, 446, 98, 742?

You can find a detailed procedure to find GCD of 156, 446, 98, 742 on our page.

3. How to find GCD of 156, 446, 98, 742 on a calculator?

You can find the GCD of 156, 446, 98, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.