GCD of 94, 658, 984, 260 Calculator

Given Input numbers are 94, 658, 984, 260

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

Divisors of 94

List of positive integer divisors of 94 that divides 94 without a remainder.

1, 2, 47, 94

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

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 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Greatest Common Divisior

We found the divisors of 94, 658, 984, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 94, 658, 984, 260 is 2.

Therefore, GCD of numbers 94, 658, 984, 260 is 2

Given Input Data is 94, 658, 984, 260

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

Prime Factorization of 94 is 2 x 47

Prime Factorization of 658 is 2 x 7 x 47

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

Prime Factorization of 260 is 2 x 2 x 5 x 13

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(94, 658) = 658

GCD(94, 658) = ( 94 x 658 ) / 658

GCD(94, 658) = 61852 / 658

GCD(94, 658) = 94

Step2:

Here we consider the GCD from the above i.e. 94 as first number and the next as 984

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

LCM(94, 984) = 46248

GCD(94, 984) = ( 94 x 984 ) / 46248

GCD(94, 984) = 92496 / 46248

GCD(94, 984) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 260

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

LCM(2, 260) = 260

GCD(2, 260) = ( 2 x 260 ) / 260

GCD(2, 260) = 520 / 260

GCD(2, 260) = 2

GCD of 94, 658, 984, 260 is 2

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1. What is the GCD of 94, 658, 984, 260?

GCD of 94, 658, 984, 260 is 2

2. Where do I get the detailed procedure to find GCD of 94, 658, 984, 260?

You can find a detailed procedure to find GCD of 94, 658, 984, 260 on our page.

3. How to find GCD of 94, 658, 984, 260 on a calculator?

You can find the GCD of 94, 658, 984, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.