GCD of 776, 850, 84, 688 Calculator

Given Input numbers are 776, 850, 84, 688

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

Divisors of 776

List of positive integer divisors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

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 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Greatest Common Divisior

We found the divisors of 776, 850, 84, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 776, 850, 84, 688 is 2.

Therefore, GCD of numbers 776, 850, 84, 688 is 2

Given Input Data is 776, 850, 84, 688

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

Prime Factorization of 776 is 2 x 2 x 2 x 97

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

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(776, 850) = 329800

GCD(776, 850) = ( 776 x 850 ) / 329800

GCD(776, 850) = 659600 / 329800

GCD(776, 850) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 84

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

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

GCD(2, 84) = 168 / 84

GCD(2, 84) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 688

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

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

GCD(2, 688) = 1376 / 688

GCD(2, 688) = 2

GCD of 776, 850, 84, 688 is 2

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1. What is the GCD of 776, 850, 84, 688?

GCD of 776, 850, 84, 688 is 2

2. Where do I get the detailed procedure to find GCD of 776, 850, 84, 688?

You can find a detailed procedure to find GCD of 776, 850, 84, 688 on our page.

3. How to find GCD of 776, 850, 84, 688 on a calculator?

You can find the GCD of 776, 850, 84, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.