GCD of 210, 760, 60 Calculator

Given Input numbers are 210, 760, 60

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

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

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

Greatest Common Divisior

We found the divisors of 210, 760, 60 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 210, 760, 60 is 10.

Therefore, GCD of numbers 210, 760, 60 is 10

Given Input Data is 210, 760, 60

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

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

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

Highest common occurrences in the given inputs are 2¹ x 5¹

Multiplying them we get the GCD as 10

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(210, 760) = 15960

GCD(210, 760) = ( 210 x 760 ) / 15960

GCD(210, 760) = 159600 / 15960

GCD(210, 760) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 60

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

LCM(10, 60) = 60

GCD(10, 60) = ( 10 x 60 ) / 60

GCD(10, 60) = 600 / 60

GCD(10, 60) = 10

GCD of 210, 760, 60 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 930, 277, 35
• GCD of 825, 312, 32
• GCD of 484, 820, 79
• GCD of 106, 350, 37
• GCD of 120, 188, 11

1. What is the GCD of 210, 760, 60?

GCD of 210, 760, 60 is 10

2. Where do I get the detailed procedure to find GCD of 210, 760, 60?

You can find a detailed procedure to find GCD of 210, 760, 60 on our page.

3. How to find GCD of 210, 760, 60 on a calculator?

You can find the GCD of 210, 760, 60 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.