GCD of 992, 952, 326, 770 Calculator

Given Input numbers are 992, 952, 326, 770

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

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 952

List of positive integer divisors of 952 that divides 952 without a remainder.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

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

Greatest Common Divisior

We found the divisors of 992, 952, 326, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 952, 326, 770 is 2.

Therefore, GCD of numbers 992, 952, 326, 770 is 2

Given Input Data is 992, 952, 326, 770

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17

Prime Factorization of 326 is 2 x 163

Prime Factorization of 770 is 2 x 5 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(992, 952) = 118048

GCD(992, 952) = ( 992 x 952 ) / 118048

GCD(992, 952) = 944384 / 118048

GCD(992, 952) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 326

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

LCM(8, 326) = 1304

GCD(8, 326) = ( 8 x 326 ) / 1304

GCD(8, 326) = 2608 / 1304

GCD(8, 326) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 770

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

LCM(2, 770) = 770

GCD(2, 770) = ( 2 x 770 ) / 770

GCD(2, 770) = 1540 / 770

GCD(2, 770) = 2

GCD of 992, 952, 326, 770 is 2

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1. What is the GCD of 992, 952, 326, 770?

GCD of 992, 952, 326, 770 is 2

2. Where do I get the detailed procedure to find GCD of 992, 952, 326, 770?

You can find a detailed procedure to find GCD of 992, 952, 326, 770 on our page.

3. How to find GCD of 992, 952, 326, 770 on a calculator?

You can find the GCD of 992, 952, 326, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.