GCD of 954, 688, 68, 470 Calculator

Given Input numbers are 954, 688, 68, 470

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

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 954, 688, 68, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 954, 688, 68, 470 is 2.

Therefore, GCD of numbers 954, 688, 68, 470 is 2

Given Input Data is 954, 688, 68, 470

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

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 470 is 2 x 5 x 47

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(954, 688) = 328176

GCD(954, 688) = ( 954 x 688 ) / 328176

GCD(954, 688) = 656352 / 328176

GCD(954, 688) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 68

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

LCM(2, 68) = 68

GCD(2, 68) = ( 2 x 68 ) / 68

GCD(2, 68) = 136 / 68

GCD(2, 68) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 470

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

LCM(2, 470) = 470

GCD(2, 470) = ( 2 x 470 ) / 470

GCD(2, 470) = 940 / 470

GCD(2, 470) = 2

GCD of 954, 688, 68, 470 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 598, 471, 59, 410
• GCD of 315, 827, 39, 119
• GCD of 322, 814, 30, 104
• GCD of 920, 911, 99, 176
• GCD of 690, 546, 17, 900

1. What is the GCD of 954, 688, 68, 470?

GCD of 954, 688, 68, 470 is 2

2. Where do I get the detailed procedure to find GCD of 954, 688, 68, 470?

You can find a detailed procedure to find GCD of 954, 688, 68, 470 on our page.

3. How to find GCD of 954, 688, 68, 470 on a calculator?

You can find the GCD of 954, 688, 68, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.