GCD of 126, 788, 94, 742 Calculator

Given Input numbers are 126, 788, 94, 742

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

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

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 126, 788, 94, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 126, 788, 94, 742 is 2.

Therefore, GCD of numbers 126, 788, 94, 742 is 2

Given Input Data is 126, 788, 94, 742

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

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 94 is 2 x 47

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(126, 788) = 49644

GCD(126, 788) = ( 126 x 788 ) / 49644

GCD(126, 788) = 99288 / 49644

GCD(126, 788) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 94

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

LCM(2, 94) = 94

GCD(2, 94) = ( 2 x 94 ) / 94

GCD(2, 94) = 188 / 94

GCD(2, 94) = 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 126, 788, 94, 742 is 2

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• GCD of 502, 859, 55, 384
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• GCD of 926, 115, 16, 594

1. What is the GCD of 126, 788, 94, 742?

GCD of 126, 788, 94, 742 is 2

2. Where do I get the detailed procedure to find GCD of 126, 788, 94, 742?

You can find a detailed procedure to find GCD of 126, 788, 94, 742 on our page.

3. How to find GCD of 126, 788, 94, 742 on a calculator?

You can find the GCD of 126, 788, 94, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.