GCD of 686, 534, 780, 332 Calculator

Given Input numbers are 686, 534, 780, 332

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

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 534

List of positive integer divisors of 534 that divides 534 without a remainder.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Greatest Common Divisior

We found the divisors of 686, 534, 780, 332 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 686, 534, 780, 332 is 2.

Therefore, GCD of numbers 686, 534, 780, 332 is 2

Given Input Data is 686, 534, 780, 332

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

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

Prime Factorization of 534 is 2 x 3 x 89

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 332 is 2 x 2 x 83

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(686, 534) = 183162

GCD(686, 534) = ( 686 x 534 ) / 183162

GCD(686, 534) = 366324 / 183162

GCD(686, 534) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 780

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

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

GCD(2, 780) = 1560 / 780

GCD(2, 780) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 332

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

LCM(2, 332) = 332

GCD(2, 332) = ( 2 x 332 ) / 332

GCD(2, 332) = 664 / 332

GCD(2, 332) = 2

GCD of 686, 534, 780, 332 is 2

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1. What is the GCD of 686, 534, 780, 332?

GCD of 686, 534, 780, 332 is 2

2. Where do I get the detailed procedure to find GCD of 686, 534, 780, 332?

You can find a detailed procedure to find GCD of 686, 534, 780, 332 on our page.

3. How to find GCD of 686, 534, 780, 332 on a calculator?

You can find the GCD of 686, 534, 780, 332 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.