GCD of 702, 958, 76, 466 Calculator

Given Input numbers are 702, 958, 76, 466

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

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

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 702, 958, 76, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 958, 76, 466 is 2.

Therefore, GCD of numbers 702, 958, 76, 466 is 2

Given Input Data is 702, 958, 76, 466

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

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 958 is 2 x 479

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 466 is 2 x 233

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(702, 958) = 336258

GCD(702, 958) = ( 702 x 958 ) / 336258

GCD(702, 958) = 672516 / 336258

GCD(702, 958) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 466

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

LCM(2, 466) = 466

GCD(2, 466) = ( 2 x 466 ) / 466

GCD(2, 466) = 932 / 466

GCD(2, 466) = 2

GCD of 702, 958, 76, 466 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 485, 257, 16, 395
• GCD of 900, 474, 85, 158
• GCD of 125, 828, 63, 295
• GCD of 309, 301, 87, 191
• GCD of 353, 466, 22, 977

1. What is the GCD of 702, 958, 76, 466?

GCD of 702, 958, 76, 466 is 2

2. Where do I get the detailed procedure to find GCD of 702, 958, 76, 466?

You can find a detailed procedure to find GCD of 702, 958, 76, 466 on our page.

3. How to find GCD of 702, 958, 76, 466 on a calculator?

You can find the GCD of 702, 958, 76, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.