GCD of 662, 174, 60, 616 Calculator

Given Input numbers are 662, 174, 60, 616

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

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Greatest Common Divisior

We found the divisors of 662, 174, 60, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 662, 174, 60, 616 is 2.

Therefore, GCD of numbers 662, 174, 60, 616 is 2

Given Input Data is 662, 174, 60, 616

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

Prime Factorization of 662 is 2 x 331

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

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(662, 174) = 57594

GCD(662, 174) = ( 662 x 174 ) / 57594

GCD(662, 174) = 115188 / 57594

GCD(662, 174) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 60

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

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

GCD(2, 60) = 120 / 60

GCD(2, 60) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 616

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

LCM(2, 616) = 616

GCD(2, 616) = ( 2 x 616 ) / 616

GCD(2, 616) = 1232 / 616

GCD(2, 616) = 2

GCD of 662, 174, 60, 616 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 649, 491, 79, 464
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• GCD of 937, 971, 53, 277

1. What is the GCD of 662, 174, 60, 616?

GCD of 662, 174, 60, 616 is 2

2. Where do I get the detailed procedure to find GCD of 662, 174, 60, 616?

You can find a detailed procedure to find GCD of 662, 174, 60, 616 on our page.

3. How to find GCD of 662, 174, 60, 616 on a calculator?

You can find the GCD of 662, 174, 60, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.