GCD of 474, 686, 690, 778 Calculator

Given Input numbers are 474, 686, 690, 778

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

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 778

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

1, 2, 389, 778

Greatest Common Divisior

We found the divisors of 474, 686, 690, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 474, 686, 690, 778 is 2.

Therefore, GCD of numbers 474, 686, 690, 778 is 2

Given Input Data is 474, 686, 690, 778

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

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 690 is 2 x 3 x 5 x 23

Prime Factorization of 778 is 2 x 389

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(474, 686) = 162582

GCD(474, 686) = ( 474 x 686 ) / 162582

GCD(474, 686) = 325164 / 162582

GCD(474, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 690

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

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

GCD(2, 690) = 1380 / 690

GCD(2, 690) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 778

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

LCM(2, 778) = 778

GCD(2, 778) = ( 2 x 778 ) / 778

GCD(2, 778) = 1556 / 778

GCD(2, 778) = 2

GCD of 474, 686, 690, 778 is 2

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1. What is the GCD of 474, 686, 690, 778?

GCD of 474, 686, 690, 778 is 2

2. Where do I get the detailed procedure to find GCD of 474, 686, 690, 778?

You can find a detailed procedure to find GCD of 474, 686, 690, 778 on our page.

3. How to find GCD of 474, 686, 690, 778 on a calculator?

You can find the GCD of 474, 686, 690, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.