GCD of 770, 550, 929, 824 Calculator

Given Input numbers are 770, 550, 929, 824

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

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 929

List of positive integer divisors of 929 that divides 929 without a remainder.

1, 929

Divisors of 824

List of positive integer divisors of 824 that divides 824 without a remainder.

1, 2, 4, 8, 103, 206, 412, 824

Greatest Common Divisior

We found the divisors of 770, 550, 929, 824 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 550, 929, 824 is 1.

Therefore, GCD of numbers 770, 550, 929, 824 is 1

Given Input Data is 770, 550, 929, 824

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

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 929 is 929

Prime Factorization of 824 is 2 x 2 x 2 x 103

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(770, 550) = 3850

GCD(770, 550) = ( 770 x 550 ) / 3850

GCD(770, 550) = 423500 / 3850

GCD(770, 550) = 110

Step2:

Here we consider the GCD from the above i.e. 110 as first number and the next as 929

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

LCM(110, 929) = 102190

GCD(110, 929) = ( 110 x 929 ) / 102190

GCD(110, 929) = 102190 / 102190

GCD(110, 929) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 824

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

LCM(1, 824) = 824

GCD(1, 824) = ( 1 x 824 ) / 824

GCD(1, 824) = 824 / 824

GCD(1, 824) = 1

GCD of 770, 550, 929, 824 is 1

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1. What is the GCD of 770, 550, 929, 824?

GCD of 770, 550, 929, 824 is 1

2. Where do I get the detailed procedure to find GCD of 770, 550, 929, 824?

You can find a detailed procedure to find GCD of 770, 550, 929, 824 on our page.

3. How to find GCD of 770, 550, 929, 824 on a calculator?

You can find the GCD of 770, 550, 929, 824 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.