GCD of 770, 660, 100, 856 Calculator

Given Input numbers are 770, 660, 100, 856

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

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Greatest Common Divisior

We found the divisors of 770, 660, 100, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 660, 100, 856 is 2.

Therefore, GCD of numbers 770, 660, 100, 856 is 2

Given Input Data is 770, 660, 100, 856

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

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 856 is 2 x 2 x 2 x 107

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(770, 660) = 4620

GCD(770, 660) = ( 770 x 660 ) / 4620

GCD(770, 660) = 508200 / 4620

GCD(770, 660) = 110

Step2:

Here we consider the GCD from the above i.e. 110 as first number and the next as 100

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

LCM(110, 100) = 1100

GCD(110, 100) = ( 110 x 100 ) / 1100

GCD(110, 100) = 11000 / 1100

GCD(110, 100) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 856

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

LCM(10, 856) = 4280

GCD(10, 856) = ( 10 x 856 ) / 4280

GCD(10, 856) = 8560 / 4280

GCD(10, 856) = 2

GCD of 770, 660, 100, 856 is 2

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1. What is the GCD of 770, 660, 100, 856?

GCD of 770, 660, 100, 856 is 2

2. Where do I get the detailed procedure to find GCD of 770, 660, 100, 856?

You can find a detailed procedure to find GCD of 770, 660, 100, 856 on our page.

3. How to find GCD of 770, 660, 100, 856 on a calculator?

You can find the GCD of 770, 660, 100, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.