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 461, 967, 90, 265 i.e. 1 largest integer that divides all the numbers equally.
GCD of 461, 967, 90, 265 is 1
GCD(461, 967, 90, 265) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 461, 967, 90, 265 is 1
GCD(461, 967, 90, 265) = 1
Given Input numbers are 461, 967, 90, 265
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 461
List of positive integer divisors of 461 that divides 461 without a remainder.
1, 461
Divisors of 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Divisors of 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Greatest Common Divisior
We found the divisors of 461, 967, 90, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 461, 967, 90, 265 is 1.
Therefore, GCD of numbers 461, 967, 90, 265 is 1
Given Input Data is 461, 967, 90, 265
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 461 is 461
Prime Factorization of 967 is 967
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 265 is 5 x 53
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(461, 967) = 445787
GCD(461, 967) = ( 461 x 967 ) / 445787
GCD(461, 967) = 445787 / 445787
GCD(461, 967) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 90) = 90
GCD(1, 90) = ( 1 x 90 ) / 90
GCD(1, 90) = 90 / 90
GCD(1, 90) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 265
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 265) = 265
GCD(1, 265) = ( 1 x 265 ) / 265
GCD(1, 265) = 265 / 265
GCD(1, 265) = 1
GCD of 461, 967, 90, 265 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 461, 967, 90, 265?
GCD of 461, 967, 90, 265 is 1
2. Where do I get the detailed procedure to find GCD of 461, 967, 90, 265?
You can find a detailed procedure to find GCD of 461, 967, 90, 265 on our page.
3. How to find GCD of 461, 967, 90, 265 on a calculator?
You can find the GCD of 461, 967, 90, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.