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 88, 154, 147, 166 i.e. 1 largest integer that divides all the numbers equally.
GCD of 88, 154, 147, 166 is 1
GCD(88, 154, 147, 166) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 88, 154, 147, 166 is 1
GCD(88, 154, 147, 166) = 1
Given Input numbers are 88, 154, 147, 166
To find the GCD of numbers using factoring list out all the divisors of each number
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 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Divisors of 166
List of positive integer divisors of 166 that divides 166 without a remainder.
1, 2, 83, 166
Greatest Common Divisior
We found the divisors of 88, 154, 147, 166 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 154, 147, 166 is 1.
Therefore, GCD of numbers 88, 154, 147, 166 is 1
Given Input Data is 88, 154, 147, 166
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 166 is 2 x 83
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(88, 154) = 616
GCD(88, 154) = ( 88 x 154 ) / 616
GCD(88, 154) = 13552 / 616
GCD(88, 154) = 22
Step2:
Here we consider the GCD from the above i.e. 22 as first number and the next as 147
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(22, 147) = 3234
GCD(22, 147) = ( 22 x 147 ) / 3234
GCD(22, 147) = 3234 / 3234
GCD(22, 147) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 166
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 166) = 166
GCD(1, 166) = ( 1 x 166 ) / 166
GCD(1, 166) = 166 / 166
GCD(1, 166) = 1
GCD of 88, 154, 147, 166 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 88, 154, 147, 166?
GCD of 88, 154, 147, 166 is 1
2. Where do I get the detailed procedure to find GCD of 88, 154, 147, 166?
You can find a detailed procedure to find GCD of 88, 154, 147, 166 on our page.
3. How to find GCD of 88, 154, 147, 166 on a calculator?
You can find the GCD of 88, 154, 147, 166 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.