GCD of 654, 782, 94, 702 Calculator

Given Input numbers are 654, 782, 94, 702

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

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 94

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

1, 2, 47, 94

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 654, 782, 94, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 782, 94, 702 is 2.

Therefore, GCD of numbers 654, 782, 94, 702 is 2

Given Input Data is 654, 782, 94, 702

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

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 94 is 2 x 47

Prime Factorization of 702 is 2 x 3 x 3 x 3 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(654, 782) = 255714

GCD(654, 782) = ( 654 x 782 ) / 255714

GCD(654, 782) = 511428 / 255714

GCD(654, 782) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 94

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

LCM(2, 94) = 94

GCD(2, 94) = ( 2 x 94 ) / 94

GCD(2, 94) = 188 / 94

GCD(2, 94) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 702

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

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

GCD(2, 702) = 1404 / 702

GCD(2, 702) = 2

GCD of 654, 782, 94, 702 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 186, 588, 46, 984
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• GCD of 720, 904, 97, 961

1. What is the GCD of 654, 782, 94, 702?

GCD of 654, 782, 94, 702 is 2

2. Where do I get the detailed procedure to find GCD of 654, 782, 94, 702?

You can find a detailed procedure to find GCD of 654, 782, 94, 702 on our page.

3. How to find GCD of 654, 782, 94, 702 on a calculator?

You can find the GCD of 654, 782, 94, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.