GCD of 934, 314, 98, 726 Calculator

Given Input numbers are 934, 314, 98, 726

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

Divisors of 934

List of positive integer divisors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 98

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

1, 2, 7, 14, 49, 98

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Greatest Common Divisior

We found the divisors of 934, 314, 98, 726 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 934, 314, 98, 726 is 2.

Therefore, GCD of numbers 934, 314, 98, 726 is 2

Given Input Data is 934, 314, 98, 726

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

Prime Factorization of 934 is 2 x 467

Prime Factorization of 314 is 2 x 157

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 726 is 2 x 3 x 11 x 11

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(934, 314) = 146638

GCD(934, 314) = ( 934 x 314 ) / 146638

GCD(934, 314) = 293276 / 146638

GCD(934, 314) = 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 726

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

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

GCD(2, 726) = 1452 / 726

GCD(2, 726) = 2

GCD of 934, 314, 98, 726 is 2

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1. What is the GCD of 934, 314, 98, 726?

GCD of 934, 314, 98, 726 is 2

2. Where do I get the detailed procedure to find GCD of 934, 314, 98, 726?

You can find a detailed procedure to find GCD of 934, 314, 98, 726 on our page.

3. How to find GCD of 934, 314, 98, 726 on a calculator?

You can find the GCD of 934, 314, 98, 726 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.