GCD of 602, 946, 122, 650 Calculator

Given Input numbers are 602, 946, 122, 650

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

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 946

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

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

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Greatest Common Divisior

We found the divisors of 602, 946, 122, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 602, 946, 122, 650 is 2.

Therefore, GCD of numbers 602, 946, 122, 650 is 2

Given Input Data is 602, 946, 122, 650

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

Prime Factorization of 602 is 2 x 7 x 43

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 122 is 2 x 61

Prime Factorization of 650 is 2 x 5 x 5 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(602, 946) = 6622

GCD(602, 946) = ( 602 x 946 ) / 6622

GCD(602, 946) = 569492 / 6622

GCD(602, 946) = 86

Step2:

Here we consider the GCD from the above i.e. 86 as first number and the next as 122

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

LCM(86, 122) = 5246

GCD(86, 122) = ( 86 x 122 ) / 5246

GCD(86, 122) = 10492 / 5246

GCD(86, 122) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 650

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

LCM(2, 650) = 650

GCD(2, 650) = ( 2 x 650 ) / 650

GCD(2, 650) = 1300 / 650

GCD(2, 650) = 2

GCD of 602, 946, 122, 650 is 2

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1. What is the GCD of 602, 946, 122, 650?

GCD of 602, 946, 122, 650 is 2

2. Where do I get the detailed procedure to find GCD of 602, 946, 122, 650?

You can find a detailed procedure to find GCD of 602, 946, 122, 650 on our page.

3. How to find GCD of 602, 946, 122, 650 on a calculator?

You can find the GCD of 602, 946, 122, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.