GCD of 770, 896, 60, 869 Calculator

Given Input numbers are 770, 896, 60, 869

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 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 770, 896, 60, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 896, 60, 869 is 1.

Therefore, GCD of numbers 770, 896, 60, 869 is 1

Given Input Data is 770, 896, 60, 869

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 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 60 is 2 x 2 x 3 x 5

Prime Factorization of 869 is 11 x 79

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, 896) = 49280

GCD(770, 896) = ( 770 x 896 ) / 49280

GCD(770, 896) = 689920 / 49280

GCD(770, 896) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 60

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

LCM(14, 60) = 420

GCD(14, 60) = ( 14 x 60 ) / 420

GCD(14, 60) = 840 / 420

GCD(14, 60) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 869

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

LCM(2, 869) = 1738

GCD(2, 869) = ( 2 x 869 ) / 1738

GCD(2, 869) = 1738 / 1738

GCD(2, 869) = 1

GCD of 770, 896, 60, 869 is 1

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1. What is the GCD of 770, 896, 60, 869?

GCD of 770, 896, 60, 869 is 1

2. Where do I get the detailed procedure to find GCD of 770, 896, 60, 869?

You can find a detailed procedure to find GCD of 770, 896, 60, 869 on our page.

3. How to find GCD of 770, 896, 60, 869 on a calculator?

You can find the GCD of 770, 896, 60, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.