GCD of 902, 792, 153 Calculator
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 902, 792, 153 i.e. 1 largest integer that divides all the numbers equally.
GCD of 902, 792, 153 is 1
GCD(902, 792, 153) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 902, 792, 153 is 1
GCD(902, 792, 153) = 1
GCDof 902,792,153 is 1
Given Input numbers are 902, 792, 153
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 792
List of positive integer divisors of 792 that divides 792 without a remainder.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Greatest Common Divisior
We found the divisors of 902, 792, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 902, 792, 153 is 1.
Therefore, GCD of numbers 902, 792, 153 is 1
Given Input Data is 902, 792, 153
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 902 is 2 x 11 x 41
Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11
Prime Factorization of 153 is 3 x 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 902, 792, 153 using LCM Formula
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(902, 792) = 32472
GCD(902, 792) = ( 902 x 792 ) / 32472
GCD(902, 792) = 714384 / 32472
GCD(902, 792) = 22
Step2:
Here we consider the GCD from the above i.e. 22 as first number and the next as 153
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(22, 153) = 3366
GCD(22, 153) = ( 22 x 153 ) / 3366
GCD(22, 153) = 3366 / 3366
GCD(22, 153) = 1
GCD of 902, 792, 153 is 1
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FAQs on GCD of numbers 902, 792, 153
1. What is the GCD of 902, 792, 153?
GCD of 902, 792, 153 is 1
2. Where do I get the detailed procedure to find GCD of 902, 792, 153?
You can find a detailed procedure to find GCD of 902, 792, 153 on our page.
3. How to find GCD of 902, 792, 153 on a calculator?
You can find the GCD of 902, 792, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.