GCD of 96, 770, 554, 924 Calculator

Given Input numbers are 96, 770, 554, 924

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 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Greatest Common Divisior

We found the divisors of 96, 770, 554, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 770, 554, 924 is 2.

Therefore, GCD of numbers 96, 770, 554, 924 is 2

Given Input Data is 96, 770, 554, 924

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 770 is 2 x 5 x 7 x 11

Prime Factorization of 554 is 2 x 277

Prime Factorization of 924 is 2 x 2 x 3 x 7 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(96, 770) = 36960

GCD(96, 770) = ( 96 x 770 ) / 36960

GCD(96, 770) = 73920 / 36960

GCD(96, 770) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 554

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

LCM(2, 554) = 554

GCD(2, 554) = ( 2 x 554 ) / 554

GCD(2, 554) = 1108 / 554

GCD(2, 554) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 924

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

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

GCD(2, 924) = 1848 / 924

GCD(2, 924) = 2

GCD of 96, 770, 554, 924 is 2

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1. What is the GCD of 96, 770, 554, 924?

GCD of 96, 770, 554, 924 is 2

2. Where do I get the detailed procedure to find GCD of 96, 770, 554, 924?

You can find a detailed procedure to find GCD of 96, 770, 554, 924 on our page.

3. How to find GCD of 96, 770, 554, 924 on a calculator?

You can find the GCD of 96, 770, 554, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.