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 267, 762, 88, 406 i.e. 1 largest integer that divides all the numbers equally.
GCD of 267, 762, 88, 406 is 1
GCD(267, 762, 88, 406) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 267, 762, 88, 406 is 1
GCD(267, 762, 88, 406) = 1
Given Input numbers are 267, 762, 88, 406
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
Divisors of 406
List of positive integer divisors of 406 that divides 406 without a remainder.
1, 2, 7, 14, 29, 58, 203, 406
Greatest Common Divisior
We found the divisors of 267, 762, 88, 406 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 762, 88, 406 is 1.
Therefore, GCD of numbers 267, 762, 88, 406 is 1
Given Input Data is 267, 762, 88, 406
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 267 is 3 x 89
Prime Factorization of 762 is 2 x 3 x 127
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 406 is 2 x 7 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(267, 762) = 67818
GCD(267, 762) = ( 267 x 762 ) / 67818
GCD(267, 762) = 203454 / 67818
GCD(267, 762) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 88
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 88) = 264
GCD(3, 88) = ( 3 x 88 ) / 264
GCD(3, 88) = 264 / 264
GCD(3, 88) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 406
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 406) = 406
GCD(1, 406) = ( 1 x 406 ) / 406
GCD(1, 406) = 406 / 406
GCD(1, 406) = 1
GCD of 267, 762, 88, 406 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 267, 762, 88, 406?
GCD of 267, 762, 88, 406 is 1
2. Where do I get the detailed procedure to find GCD of 267, 762, 88, 406?
You can find a detailed procedure to find GCD of 267, 762, 88, 406 on our page.
3. How to find GCD of 267, 762, 88, 406 on a calculator?
You can find the GCD of 267, 762, 88, 406 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.