GCD of 850, 848, 76, 308 Calculator

Given Input numbers are 850, 848, 76, 308

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

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 848

List of positive integer divisors of 848 that divides 848 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 76

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

1, 2, 4, 19, 38, 76

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Greatest Common Divisior

We found the divisors of 850, 848, 76, 308 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 848, 76, 308 is 2.

Therefore, GCD of numbers 850, 848, 76, 308 is 2

Given Input Data is 850, 848, 76, 308

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

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 308 is 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(850, 848) = 360400

GCD(850, 848) = ( 850 x 848 ) / 360400

GCD(850, 848) = 720800 / 360400

GCD(850, 848) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 308

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

LCM(2, 308) = 308

GCD(2, 308) = ( 2 x 308 ) / 308

GCD(2, 308) = 616 / 308

GCD(2, 308) = 2

GCD of 850, 848, 76, 308 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 601, 378, 41, 901
• GCD of 476, 103, 61, 464
• GCD of 428, 476, 72, 670
• GCD of 695, 814, 14, 271
• GCD of 724, 475, 38, 985

1. What is the GCD of 850, 848, 76, 308?

GCD of 850, 848, 76, 308 is 2

2. Where do I get the detailed procedure to find GCD of 850, 848, 76, 308?

You can find a detailed procedure to find GCD of 850, 848, 76, 308 on our page.

3. How to find GCD of 850, 848, 76, 308 on a calculator?

You can find the GCD of 850, 848, 76, 308 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.