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 87, 282, 248, 158 i.e. 1 largest integer that divides all the numbers equally.
GCD of 87, 282, 248, 158 is 1
GCD(87, 282, 248, 158) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 87, 282, 248, 158 is 1
GCD(87, 282, 248, 158) = 1
Given Input numbers are 87, 282, 248, 158
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 282
List of positive integer divisors of 282 that divides 282 without a remainder.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 158
List of positive integer divisors of 158 that divides 158 without a remainder.
1, 2, 79, 158
Greatest Common Divisior
We found the divisors of 87, 282, 248, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 87, 282, 248, 158 is 1.
Therefore, GCD of numbers 87, 282, 248, 158 is 1
Given Input Data is 87, 282, 248, 158
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 87 is 3 x 29
Prime Factorization of 282 is 2 x 3 x 47
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 158 is 2 x 79
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(87, 282) = 8178
GCD(87, 282) = ( 87 x 282 ) / 8178
GCD(87, 282) = 24534 / 8178
GCD(87, 282) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 248
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 248) = 744
GCD(3, 248) = ( 3 x 248 ) / 744
GCD(3, 248) = 744 / 744
GCD(3, 248) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 158
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 158) = 158
GCD(1, 158) = ( 1 x 158 ) / 158
GCD(1, 158) = 158 / 158
GCD(1, 158) = 1
GCD of 87, 282, 248, 158 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 87, 282, 248, 158?
GCD of 87, 282, 248, 158 is 1
2. Where do I get the detailed procedure to find GCD of 87, 282, 248, 158?
You can find a detailed procedure to find GCD of 87, 282, 248, 158 on our page.
3. How to find GCD of 87, 282, 248, 158 on a calculator?
You can find the GCD of 87, 282, 248, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.