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 760, 121, 470, 170 i.e. 1 largest integer that divides all the numbers equally.
GCD of 760, 121, 470, 170 is 1
GCD(760, 121, 470, 170) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 760, 121, 470, 170 is 1
GCD(760, 121, 470, 170) = 1
Given Input numbers are 760, 121, 470, 170
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 121
List of positive integer divisors of 121 that divides 121 without a remainder.
1, 11, 121
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 170
List of positive integer divisors of 170 that divides 170 without a remainder.
1, 2, 5, 10, 17, 34, 85, 170
Greatest Common Divisior
We found the divisors of 760, 121, 470, 170 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 121, 470, 170 is 1.
Therefore, GCD of numbers 760, 121, 470, 170 is 1
Given Input Data is 760, 121, 470, 170
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 121 is 11 x 11
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 170 is 2 x 5 x 17
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(760, 121) = 91960
GCD(760, 121) = ( 760 x 121 ) / 91960
GCD(760, 121) = 91960 / 91960
GCD(760, 121) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 470
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 470) = 470
GCD(1, 470) = ( 1 x 470 ) / 470
GCD(1, 470) = 470 / 470
GCD(1, 470) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 170
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 170) = 170
GCD(1, 170) = ( 1 x 170 ) / 170
GCD(1, 170) = 170 / 170
GCD(1, 170) = 1
GCD of 760, 121, 470, 170 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 760, 121, 470, 170?
GCD of 760, 121, 470, 170 is 1
2. Where do I get the detailed procedure to find GCD of 760, 121, 470, 170?
You can find a detailed procedure to find GCD of 760, 121, 470, 170 on our page.
3. How to find GCD of 760, 121, 470, 170 on a calculator?
You can find the GCD of 760, 121, 470, 170 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.