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 425, 110, 10, 350 i.e. 5 largest integer that divides all the numbers equally.
GCD of 425, 110, 10, 350 is 5
GCD(425, 110, 10, 350) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 425, 110, 10, 350 is 5
GCD(425, 110, 10, 350) = 5
Given Input numbers are 425, 110, 10, 350
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Divisors of 110
List of positive integer divisors of 110 that divides 110 without a remainder.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
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 425, 110, 10, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 425, 110, 10, 350 is 5.
Therefore, GCD of numbers 425, 110, 10, 350 is 5
Given Input Data is 425, 110, 10, 350
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 425 is 5 x 5 x 17
Prime Factorization of 110 is 2 x 5 x 11
Prime Factorization of 10 is 2 x 5
Prime Factorization of 350 is 2 x 5 x 5 x 7
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
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(425, 110) = 9350
GCD(425, 110) = ( 425 x 110 ) / 9350
GCD(425, 110) = 46750 / 9350
GCD(425, 110) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 10) = 10
GCD(5, 10) = ( 5 x 10 ) / 10
GCD(5, 10) = 50 / 10
GCD(5, 10) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 350
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 350) = 350
GCD(5, 350) = ( 5 x 350 ) / 350
GCD(5, 350) = 1750 / 350
GCD(5, 350) = 5
GCD of 425, 110, 10, 350 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 425, 110, 10, 350?
GCD of 425, 110, 10, 350 is 5
2. Where do I get the detailed procedure to find GCD of 425, 110, 10, 350?
You can find a detailed procedure to find GCD of 425, 110, 10, 350 on our page.
3. How to find GCD of 425, 110, 10, 350 on a calculator?
You can find the GCD of 425, 110, 10, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.