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 942, 528, 225, 153 i.e. 3 largest integer that divides all the numbers equally.
GCD of 942, 528, 225, 153 is 3
GCD(942, 528, 225, 153) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 942, 528, 225, 153 is 3
GCD(942, 528, 225, 153) = 3
Given Input numbers are 942, 528, 225, 153
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 528
List of positive integer divisors of 528 that divides 528 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Divisors of 225
List of positive integer divisors of 225 that divides 225 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75, 225
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 942, 528, 225, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 528, 225, 153 is 3.
Therefore, GCD of numbers 942, 528, 225, 153 is 3
Given Input Data is 942, 528, 225, 153
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 942 is 2 x 3 x 157
Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11
Prime Factorization of 225 is 3 x 3 x 5 x 5
Prime Factorization of 153 is 3 x 3 x 17
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(942, 528) = 82896
GCD(942, 528) = ( 942 x 528 ) / 82896
GCD(942, 528) = 497376 / 82896
GCD(942, 528) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 225
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 225) = 450
GCD(6, 225) = ( 6 x 225 ) / 450
GCD(6, 225) = 1350 / 450
GCD(6, 225) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 153
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 153) = 153
GCD(3, 153) = ( 3 x 153 ) / 153
GCD(3, 153) = 459 / 153
GCD(3, 153) = 3
GCD of 942, 528, 225, 153 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 942, 528, 225, 153?
GCD of 942, 528, 225, 153 is 3
2. Where do I get the detailed procedure to find GCD of 942, 528, 225, 153?
You can find a detailed procedure to find GCD of 942, 528, 225, 153 on our page.
3. How to find GCD of 942, 528, 225, 153 on a calculator?
You can find the GCD of 942, 528, 225, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.