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 906, 846, 269, 151 i.e. 1 largest integer that divides all the numbers equally.
GCD of 906, 846, 269, 151 is 1
GCD(906, 846, 269, 151) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 906, 846, 269, 151 is 1
GCD(906, 846, 269, 151) = 1
Given Input numbers are 906, 846, 269, 151
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 906
List of positive integer divisors of 906 that divides 906 without a remainder.
1, 2, 3, 6, 151, 302, 453, 906
Divisors of 846
List of positive integer divisors of 846 that divides 846 without a remainder.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 269
List of positive integer divisors of 269 that divides 269 without a remainder.
1, 269
Divisors of 151
List of positive integer divisors of 151 that divides 151 without a remainder.
1, 151
Greatest Common Divisior
We found the divisors of 906, 846, 269, 151 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 906, 846, 269, 151 is 1.
Therefore, GCD of numbers 906, 846, 269, 151 is 1
Given Input Data is 906, 846, 269, 151
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 906 is 2 x 3 x 151
Prime Factorization of 846 is 2 x 3 x 3 x 47
Prime Factorization of 269 is 269
Prime Factorization of 151 is 151
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(906, 846) = 127746
GCD(906, 846) = ( 906 x 846 ) / 127746
GCD(906, 846) = 766476 / 127746
GCD(906, 846) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 269
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 269) = 1614
GCD(6, 269) = ( 6 x 269 ) / 1614
GCD(6, 269) = 1614 / 1614
GCD(6, 269) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 151
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 151) = 151
GCD(1, 151) = ( 1 x 151 ) / 151
GCD(1, 151) = 151 / 151
GCD(1, 151) = 1
GCD of 906, 846, 269, 151 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 906, 846, 269, 151?
GCD of 906, 846, 269, 151 is 1
2. Where do I get the detailed procedure to find GCD of 906, 846, 269, 151?
You can find a detailed procedure to find GCD of 906, 846, 269, 151 on our page.
3. How to find GCD of 906, 846, 269, 151 on a calculator?
You can find the GCD of 906, 846, 269, 151 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.