GCD of 77, 920, 697, 827 Calculator

Given Input numbers are 77, 920, 697, 827

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 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 77, 920, 697, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 920, 697, 827 is 1.

Therefore, GCD of numbers 77, 920, 697, 827 is 1

Given Input Data is 77, 920, 697, 827

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 697 is 17 x 41

Prime Factorization of 827 is 827

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, 920) = 70840

GCD(77, 920) = ( 77 x 920 ) / 70840

GCD(77, 920) = 70840 / 70840

GCD(77, 920) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 697

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

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

GCD(1, 697) = 697 / 697

GCD(1, 697) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

GCD of 77, 920, 697, 827 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 66, 598, 998, 549
• GCD of 50, 462, 410, 390
• GCD of 13, 134, 984, 345
• GCD of 53, 227, 918, 994
• GCD of 16, 850, 321, 585

1. What is the GCD of 77, 920, 697, 827?

GCD of 77, 920, 697, 827 is 1

2. Where do I get the detailed procedure to find GCD of 77, 920, 697, 827?

You can find a detailed procedure to find GCD of 77, 920, 697, 827 on our page.

3. How to find GCD of 77, 920, 697, 827 on a calculator?

You can find the GCD of 77, 920, 697, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.