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 62, 262, 112, 918 i.e. 2 largest integer that divides all the numbers equally.
GCD of 62, 262, 112, 918 is 2
GCD(62, 262, 112, 918) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 62, 262, 112, 918 is 2
GCD(62, 262, 112, 918) = 2
Given Input numbers are 62, 262, 112, 918
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Divisors of 112
List of positive integer divisors of 112 that divides 112 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Greatest Common Divisior
We found the divisors of 62, 262, 112, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 62, 262, 112, 918 is 2.
Therefore, GCD of numbers 62, 262, 112, 918 is 2
Given Input Data is 62, 262, 112, 918
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 62 is 2 x 31
Prime Factorization of 262 is 2 x 131
Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(62, 262) = 8122
GCD(62, 262) = ( 62 x 262 ) / 8122
GCD(62, 262) = 16244 / 8122
GCD(62, 262) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 112
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 112) = 112
GCD(2, 112) = ( 2 x 112 ) / 112
GCD(2, 112) = 224 / 112
GCD(2, 112) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 918
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 918) = 918
GCD(2, 918) = ( 2 x 918 ) / 918
GCD(2, 918) = 1836 / 918
GCD(2, 918) = 2
GCD of 62, 262, 112, 918 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 62, 262, 112, 918?
GCD of 62, 262, 112, 918 is 2
2. Where do I get the detailed procedure to find GCD of 62, 262, 112, 918?
You can find a detailed procedure to find GCD of 62, 262, 112, 918 on our page.
3. How to find GCD of 62, 262, 112, 918 on a calculator?
You can find the GCD of 62, 262, 112, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.