GCD of 96, 946, 926, 362 Calculator

Given Input numbers are 96, 946, 926, 362

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

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 926

List of positive integer divisors of 926 that divides 926 without a remainder.

1, 2, 463, 926

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Greatest Common Divisior

We found the divisors of 96, 946, 926, 362 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 946, 926, 362 is 2.

Therefore, GCD of numbers 96, 946, 926, 362 is 2

Given Input Data is 96, 946, 926, 362

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

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 926 is 2 x 463

Prime Factorization of 362 is 2 x 181

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(96, 946) = 45408

GCD(96, 946) = ( 96 x 946 ) / 45408

GCD(96, 946) = 90816 / 45408

GCD(96, 946) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 926

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

LCM(2, 926) = 926

GCD(2, 926) = ( 2 x 926 ) / 926

GCD(2, 926) = 1852 / 926

GCD(2, 926) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 362

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

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

GCD(2, 362) = 724 / 362

GCD(2, 362) = 2

GCD of 96, 946, 926, 362 is 2

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• GCD of 31, 635, 760, 406
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• GCD of 59, 782, 436, 890

1. What is the GCD of 96, 946, 926, 362?

GCD of 96, 946, 926, 362 is 2

2. Where do I get the detailed procedure to find GCD of 96, 946, 926, 362?

You can find a detailed procedure to find GCD of 96, 946, 926, 362 on our page.

3. How to find GCD of 96, 946, 926, 362 on a calculator?

You can find the GCD of 96, 946, 926, 362 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.