GCD of 946, 698, 502 Calculator

Given Input numbers are 946, 698, 502

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

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 946, 698, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 946, 698, 502 is 2.

Therefore, GCD of numbers 946, 698, 502 is 2

Given Input Data is 946, 698, 502

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

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 698 is 2 x 349

Prime Factorization of 502 is 2 x 251

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(946, 698) = 330154

GCD(946, 698) = ( 946 x 698 ) / 330154

GCD(946, 698) = 660308 / 330154

GCD(946, 698) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 502

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

LCM(2, 502) = 502

GCD(2, 502) = ( 2 x 502 ) / 502

GCD(2, 502) = 1004 / 502

GCD(2, 502) = 2

GCD of 946, 698, 502 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 577, 237, 595
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• GCD of 350, 465, 250
• GCD of 412, 231, 965
• GCD of 261, 570, 574

1. What is the GCD of 946, 698, 502?

GCD of 946, 698, 502 is 2

2. Where do I get the detailed procedure to find GCD of 946, 698, 502?

You can find a detailed procedure to find GCD of 946, 698, 502 on our page.

3. How to find GCD of 946, 698, 502 on a calculator?

You can find the GCD of 946, 698, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.