GCD of 778, 524, 850, 490 Calculator

Given Input numbers are 778, 524, 850, 490

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

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

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 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Greatest Common Divisior

We found the divisors of 778, 524, 850, 490 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 524, 850, 490 is 2.

Therefore, GCD of numbers 778, 524, 850, 490 is 2

Given Input Data is 778, 524, 850, 490

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

Prime Factorization of 778 is 2 x 389

Prime Factorization of 524 is 2 x 2 x 131

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

Prime Factorization of 490 is 2 x 5 x 7 x 7

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(778, 524) = 203836

GCD(778, 524) = ( 778 x 524 ) / 203836

GCD(778, 524) = 407672 / 203836

GCD(778, 524) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 850

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

LCM(2, 850) = 850

GCD(2, 850) = ( 2 x 850 ) / 850

GCD(2, 850) = 1700 / 850

GCD(2, 850) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 490

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

LCM(2, 490) = 490

GCD(2, 490) = ( 2 x 490 ) / 490

GCD(2, 490) = 980 / 490

GCD(2, 490) = 2

GCD of 778, 524, 850, 490 is 2

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1. What is the GCD of 778, 524, 850, 490?

GCD of 778, 524, 850, 490 is 2

2. Where do I get the detailed procedure to find GCD of 778, 524, 850, 490?

You can find a detailed procedure to find GCD of 778, 524, 850, 490 on our page.

3. How to find GCD of 778, 524, 850, 490 on a calculator?

You can find the GCD of 778, 524, 850, 490 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.