GCD of 966, 670, 602, 508 Calculator

Given Input numbers are 966, 670, 602, 508

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

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 602

List of positive integer divisors of 602 that divides 602 without a remainder.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Greatest Common Divisior

We found the divisors of 966, 670, 602, 508 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 966, 670, 602, 508 is 2.

Therefore, GCD of numbers 966, 670, 602, 508 is 2

Given Input Data is 966, 670, 602, 508

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

Prime Factorization of 966 is 2 x 3 x 7 x 23

Prime Factorization of 670 is 2 x 5 x 67

Prime Factorization of 602 is 2 x 7 x 43

Prime Factorization of 508 is 2 x 2 x 127

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(966, 670) = 323610

GCD(966, 670) = ( 966 x 670 ) / 323610

GCD(966, 670) = 647220 / 323610

GCD(966, 670) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 602

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

LCM(2, 602) = 602

GCD(2, 602) = ( 2 x 602 ) / 602

GCD(2, 602) = 1204 / 602

GCD(2, 602) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 508

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

LCM(2, 508) = 508

GCD(2, 508) = ( 2 x 508 ) / 508

GCD(2, 508) = 1016 / 508

GCD(2, 508) = 2

GCD of 966, 670, 602, 508 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 352, 426, 309, 802
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• GCD of 827, 325, 141, 683
• GCD of 780, 683, 967, 279

1. What is the GCD of 966, 670, 602, 508?

GCD of 966, 670, 602, 508 is 2

2. Where do I get the detailed procedure to find GCD of 966, 670, 602, 508?

You can find a detailed procedure to find GCD of 966, 670, 602, 508 on our page.

3. How to find GCD of 966, 670, 602, 508 on a calculator?

You can find the GCD of 966, 670, 602, 508 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.