GCD of 60, 966, 154, 506 Calculator

Given Input numbers are 60, 966, 154, 506

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

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 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 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 60, 966, 154, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 966, 154, 506 is 2.

Therefore, GCD of numbers 60, 966, 154, 506 is 2

Given Input Data is 60, 966, 154, 506

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

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

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

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 506 is 2 x 11 x 23

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(60, 966) = 9660

GCD(60, 966) = ( 60 x 966 ) / 9660

GCD(60, 966) = 57960 / 9660

GCD(60, 966) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 154

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

LCM(6, 154) = 462

GCD(6, 154) = ( 6 x 154 ) / 462

GCD(6, 154) = 924 / 462

GCD(6, 154) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 506

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

LCM(2, 506) = 506

GCD(2, 506) = ( 2 x 506 ) / 506

GCD(2, 506) = 1012 / 506

GCD(2, 506) = 2

GCD of 60, 966, 154, 506 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 20, 296, 432, 583
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• GCD of 54, 509, 781, 379
• GCD of 79, 670, 311, 646
• GCD of 21, 176, 271, 805

1. What is the GCD of 60, 966, 154, 506?

GCD of 60, 966, 154, 506 is 2

2. Where do I get the detailed procedure to find GCD of 60, 966, 154, 506?

You can find a detailed procedure to find GCD of 60, 966, 154, 506 on our page.

3. How to find GCD of 60, 966, 154, 506 on a calculator?

You can find the GCD of 60, 966, 154, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.