GCD of 910, 294, 984, 350 Calculator

Given Input numbers are 910, 294, 984, 350

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

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Divisors of 294

List of positive integer divisors of 294 that divides 294 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Greatest Common Divisior

We found the divisors of 910, 294, 984, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 910, 294, 984, 350 is 2.

Therefore, GCD of numbers 910, 294, 984, 350 is 2

Given Input Data is 910, 294, 984, 350

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

Prime Factorization of 910 is 2 x 5 x 7 x 13

Prime Factorization of 294 is 2 x 3 x 7 x 7

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

Prime Factorization of 350 is 2 x 5 x 5 x 7

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(910, 294) = 19110

GCD(910, 294) = ( 910 x 294 ) / 19110

GCD(910, 294) = 267540 / 19110

GCD(910, 294) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 984

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

LCM(14, 984) = 6888

GCD(14, 984) = ( 14 x 984 ) / 6888

GCD(14, 984) = 13776 / 6888

GCD(14, 984) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 350

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

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

GCD(2, 350) = 700 / 350

GCD(2, 350) = 2

GCD of 910, 294, 984, 350 is 2

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1. What is the GCD of 910, 294, 984, 350?

GCD of 910, 294, 984, 350 is 2

2. Where do I get the detailed procedure to find GCD of 910, 294, 984, 350?

You can find a detailed procedure to find GCD of 910, 294, 984, 350 on our page.

3. How to find GCD of 910, 294, 984, 350 on a calculator?

You can find the GCD of 910, 294, 984, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.