GCD of 76, 740, 310, 146 Calculator

Given Input numbers are 76, 740, 310, 146

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

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Greatest Common Divisior

We found the divisors of 76, 740, 310, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 76, 740, 310, 146 is 2.

Therefore, GCD of numbers 76, 740, 310, 146 is 2

Given Input Data is 76, 740, 310, 146

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

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 146 is 2 x 73

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(76, 740) = 14060

GCD(76, 740) = ( 76 x 740 ) / 14060

GCD(76, 740) = 56240 / 14060

GCD(76, 740) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 310

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

LCM(4, 310) = 620

GCD(4, 310) = ( 4 x 310 ) / 620

GCD(4, 310) = 1240 / 620

GCD(4, 310) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 146

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

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

GCD(2, 146) = 292 / 146

GCD(2, 146) = 2

GCD of 76, 740, 310, 146 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 63, 750, 728, 148
• GCD of 78, 721, 678, 237
• GCD of 96, 172, 652, 303
• GCD of 55, 950, 467, 269
• GCD of 93, 719, 742, 817

1. What is the GCD of 76, 740, 310, 146?

GCD of 76, 740, 310, 146 is 2

2. Where do I get the detailed procedure to find GCD of 76, 740, 310, 146?

You can find a detailed procedure to find GCD of 76, 740, 310, 146 on our page.

3. How to find GCD of 76, 740, 310, 146 on a calculator?

You can find the GCD of 76, 740, 310, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.