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 853, 661, 61, 145 i.e. 1 largest integer that divides all the numbers equally.
GCD of 853, 661, 61, 145 is 1
GCD(853, 661, 61, 145) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 853, 661, 61, 145 is 1
GCD(853, 661, 61, 145) = 1
Given Input numbers are 853, 661, 61, 145
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Divisors of 661
List of positive integer divisors of 661 that divides 661 without a remainder.
1, 661
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Greatest Common Divisior
We found the divisors of 853, 661, 61, 145 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 853, 661, 61, 145 is 1.
Therefore, GCD of numbers 853, 661, 61, 145 is 1
Given Input Data is 853, 661, 61, 145
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 853 is 853
Prime Factorization of 661 is 661
Prime Factorization of 61 is 61
Prime Factorization of 145 is 5 x 29
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(853, 661) = 563833
GCD(853, 661) = ( 853 x 661 ) / 563833
GCD(853, 661) = 563833 / 563833
GCD(853, 661) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 61) = 61
GCD(1, 61) = ( 1 x 61 ) / 61
GCD(1, 61) = 61 / 61
GCD(1, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 145
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 145) = 145
GCD(1, 145) = ( 1 x 145 ) / 145
GCD(1, 145) = 145 / 145
GCD(1, 145) = 1
GCD of 853, 661, 61, 145 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 853, 661, 61, 145?
GCD of 853, 661, 61, 145 is 1
2. Where do I get the detailed procedure to find GCD of 853, 661, 61, 145?
You can find a detailed procedure to find GCD of 853, 661, 61, 145 on our page.
3. How to find GCD of 853, 661, 61, 145 on a calculator?
You can find the GCD of 853, 661, 61, 145 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.