GCD of 77, 378, 686, 539 Calculator

Given Input numbers are 77, 378, 686, 539

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

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 378

List of positive integer divisors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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 539

List of positive integer divisors of 539 that divides 539 without a remainder.

1, 7, 11, 49, 77, 539

Greatest Common Divisior

We found the divisors of 77, 378, 686, 539 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 378, 686, 539 is 7.

Therefore, GCD of numbers 77, 378, 686, 539 is 7

Given Input Data is 77, 378, 686, 539

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7

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

Prime Factorization of 539 is 7 x 7 x 11

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(77, 378) = 4158

GCD(77, 378) = ( 77 x 378 ) / 4158

GCD(77, 378) = 29106 / 4158

GCD(77, 378) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 686

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

LCM(7, 686) = 686

GCD(7, 686) = ( 7 x 686 ) / 686

GCD(7, 686) = 4802 / 686

GCD(7, 686) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 539

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

LCM(7, 539) = 539

GCD(7, 539) = ( 7 x 539 ) / 539

GCD(7, 539) = 3773 / 539

GCD(7, 539) = 7

GCD of 77, 378, 686, 539 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 61, 716, 713, 185
• GCD of 85, 539, 424, 526
• GCD of 54, 307, 847, 475
• GCD of 51, 206, 408, 258
• GCD of 64, 273, 793, 479

1. What is the GCD of 77, 378, 686, 539?

GCD of 77, 378, 686, 539 is 7

2. Where do I get the detailed procedure to find GCD of 77, 378, 686, 539?

You can find a detailed procedure to find GCD of 77, 378, 686, 539 on our page.

3. How to find GCD of 77, 378, 686, 539 on a calculator?

You can find the GCD of 77, 378, 686, 539 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.