GCD of 77, 685, 135, 820 Calculator

Given Input numbers are 77, 685, 135, 820

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 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

Divisors of 135

List of positive integer divisors of 135 that divides 135 without a remainder.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Greatest Common Divisior

We found the divisors of 77, 685, 135, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 685, 135, 820 is 1.

Therefore, GCD of numbers 77, 685, 135, 820 is 1

Given Input Data is 77, 685, 135, 820

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 685 is 5 x 137

Prime Factorization of 135 is 3 x 3 x 3 x 5

Prime Factorization of 820 is 2 x 2 x 5 x 41

The above numbers do not have any common prime factor. So GCD is 1

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, 685) = 52745

GCD(77, 685) = ( 77 x 685 ) / 52745

GCD(77, 685) = 52745 / 52745

GCD(77, 685) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 135

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

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

GCD(1, 135) = 135 / 135

GCD(1, 135) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

GCD of 77, 685, 135, 820 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 85, 867, 156, 754
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• GCD of 97, 940, 675, 391
• GCD of 65, 504, 411, 296
• GCD of 21, 817, 365, 803

1. What is the GCD of 77, 685, 135, 820?

GCD of 77, 685, 135, 820 is 1

2. Where do I get the detailed procedure to find GCD of 77, 685, 135, 820?

You can find a detailed procedure to find GCD of 77, 685, 135, 820 on our page.

3. How to find GCD of 77, 685, 135, 820 on a calculator?

You can find the GCD of 77, 685, 135, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.