GCD of 770, 824, 960, 857 Calculator

Given Input numbers are 770, 824, 960, 857

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 824

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

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

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Greatest Common Divisior

We found the divisors of 770, 824, 960, 857 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 824, 960, 857 is 1.

Therefore, GCD of numbers 770, 824, 960, 857 is 1

Given Input Data is 770, 824, 960, 857

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 824 is 2 x 2 x 2 x 103

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 857 is 857

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, 824) = 317240

GCD(770, 824) = ( 770 x 824 ) / 317240

GCD(770, 824) = 634480 / 317240

GCD(770, 824) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 960

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

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

GCD(2, 960) = 1920 / 960

GCD(2, 960) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 857

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

LCM(2, 857) = 1714

GCD(2, 857) = ( 2 x 857 ) / 1714

GCD(2, 857) = 1714 / 1714

GCD(2, 857) = 1

GCD of 770, 824, 960, 857 is 1

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1. What is the GCD of 770, 824, 960, 857?

GCD of 770, 824, 960, 857 is 1

2. Where do I get the detailed procedure to find GCD of 770, 824, 960, 857?

You can find a detailed procedure to find GCD of 770, 824, 960, 857 on our page.

3. How to find GCD of 770, 824, 960, 857 on a calculator?

You can find the GCD of 770, 824, 960, 857 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.