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 253, 977, 75, 841 i.e. 1 largest integer that divides all the numbers equally.
GCD of 253, 977, 75, 841 is 1
GCD(253, 977, 75, 841) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 253, 977, 75, 841 is 1
GCD(253, 977, 75, 841) = 1
Given Input numbers are 253, 977, 75, 841
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 253
List of positive integer divisors of 253 that divides 253 without a remainder.
1, 11, 23, 253
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 841
List of positive integer divisors of 841 that divides 841 without a remainder.
1, 29, 841
Greatest Common Divisior
We found the divisors of 253, 977, 75, 841 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 977, 75, 841 is 1.
Therefore, GCD of numbers 253, 977, 75, 841 is 1
Given Input Data is 253, 977, 75, 841
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 253 is 11 x 23
Prime Factorization of 977 is 977
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 841 is 29 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(253, 977) = 247181
GCD(253, 977) = ( 253 x 977 ) / 247181
GCD(253, 977) = 247181 / 247181
GCD(253, 977) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 75) = 75
GCD(1, 75) = ( 1 x 75 ) / 75
GCD(1, 75) = 75 / 75
GCD(1, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 841
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 841) = 841
GCD(1, 841) = ( 1 x 841 ) / 841
GCD(1, 841) = 841 / 841
GCD(1, 841) = 1
GCD of 253, 977, 75, 841 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 253, 977, 75, 841?
GCD of 253, 977, 75, 841 is 1
2. Where do I get the detailed procedure to find GCD of 253, 977, 75, 841?
You can find a detailed procedure to find GCD of 253, 977, 75, 841 on our page.
3. How to find GCD of 253, 977, 75, 841 on a calculator?
You can find the GCD of 253, 977, 75, 841 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.