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 262, 342, 250, 350 i.e. 2 largest integer that divides all the numbers equally.
GCD of 262, 342, 250, 350 is 2
GCD(262, 342, 250, 350) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 262, 342, 250, 350 is 2
GCD(262, 342, 250, 350) = 2
Given Input numbers are 262, 342, 250, 350
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
Divisors of 342
List of positive integer divisors of 342 that divides 342 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
Divisors of 250
List of positive integer divisors of 250 that divides 250 without a remainder.
1, 2, 5, 10, 25, 50, 125, 250
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Greatest Common Divisior
We found the divisors of 262, 342, 250, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 262, 342, 250, 350 is 2.
Therefore, GCD of numbers 262, 342, 250, 350 is 2
Given Input Data is 262, 342, 250, 350
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 262 is 2 x 131
Prime Factorization of 342 is 2 x 3 x 3 x 19
Prime Factorization of 250 is 2 x 5 x 5 x 5
Prime Factorization of 350 is 2 x 5 x 5 x 7
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(262, 342) = 44802
GCD(262, 342) = ( 262 x 342 ) / 44802
GCD(262, 342) = 89604 / 44802
GCD(262, 342) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 250
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 250) = 250
GCD(2, 250) = ( 2 x 250 ) / 250
GCD(2, 250) = 500 / 250
GCD(2, 250) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 350
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 350) = 350
GCD(2, 350) = ( 2 x 350 ) / 350
GCD(2, 350) = 700 / 350
GCD(2, 350) = 2
GCD of 262, 342, 250, 350 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 262, 342, 250, 350?
GCD of 262, 342, 250, 350 is 2
2. Where do I get the detailed procedure to find GCD of 262, 342, 250, 350?
You can find a detailed procedure to find GCD of 262, 342, 250, 350 on our page.
3. How to find GCD of 262, 342, 250, 350 on a calculator?
You can find the GCD of 262, 342, 250, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.