Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 196, 906, 89, 770 i.e. 1 largest integer that divides all the numbers equally.
GCD of 196, 906, 89, 770 is 1
GCD(196, 906, 89, 770) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 196, 906, 89, 770 is 1
GCD(196, 906, 89, 770) = 1
Given Input numbers are 196, 906, 89, 770
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 906
List of positive integer divisors of 906 that divides 906 without a remainder.
1, 2, 3, 6, 151, 302, 453, 906
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
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
Greatest Common Divisior
We found the divisors of 196, 906, 89, 770 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 906, 89, 770 is 1.
Therefore, GCD of numbers 196, 906, 89, 770 is 1
Given Input Data is 196, 906, 89, 770
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 196 is 2 x 2 x 7 x 7
Prime Factorization of 906 is 2 x 3 x 151
Prime Factorization of 89 is 89
Prime Factorization of 770 is 2 x 5 x 7 x 11
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(196, 906) = 88788
GCD(196, 906) = ( 196 x 906 ) / 88788
GCD(196, 906) = 177576 / 88788
GCD(196, 906) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 89) = 178
GCD(2, 89) = ( 2 x 89 ) / 178
GCD(2, 89) = 178 / 178
GCD(2, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 770
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 770) = 770
GCD(1, 770) = ( 1 x 770 ) / 770
GCD(1, 770) = 770 / 770
GCD(1, 770) = 1
GCD of 196, 906, 89, 770 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 196, 906, 89, 770?
GCD of 196, 906, 89, 770 is 1
2. Where do I get the detailed procedure to find GCD of 196, 906, 89, 770?
You can find a detailed procedure to find GCD of 196, 906, 89, 770 on our page.
3. How to find GCD of 196, 906, 89, 770 on a calculator?
You can find the GCD of 196, 906, 89, 770 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.