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 676, 350, 65, 281 i.e. 1 largest integer that divides all the numbers equally.
GCD of 676, 350, 65, 281 is 1
GCD(676, 350, 65, 281) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 676, 350, 65, 281 is 1
GCD(676, 350, 65, 281) = 1
Given Input numbers are 676, 350, 65, 281
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
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
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 281
List of positive integer divisors of 281 that divides 281 without a remainder.
1, 281
Greatest Common Divisior
We found the divisors of 676, 350, 65, 281 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 350, 65, 281 is 1.
Therefore, GCD of numbers 676, 350, 65, 281 is 1
Given Input Data is 676, 350, 65, 281
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 65 is 5 x 13
Prime Factorization of 281 is 281
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(676, 350) = 118300
GCD(676, 350) = ( 676 x 350 ) / 118300
GCD(676, 350) = 236600 / 118300
GCD(676, 350) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 65) = 130
GCD(2, 65) = ( 2 x 65 ) / 130
GCD(2, 65) = 130 / 130
GCD(2, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 281
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 281) = 281
GCD(1, 281) = ( 1 x 281 ) / 281
GCD(1, 281) = 281 / 281
GCD(1, 281) = 1
GCD of 676, 350, 65, 281 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 676, 350, 65, 281?
GCD of 676, 350, 65, 281 is 1
2. Where do I get the detailed procedure to find GCD of 676, 350, 65, 281?
You can find a detailed procedure to find GCD of 676, 350, 65, 281 on our page.
3. How to find GCD of 676, 350, 65, 281 on a calculator?
You can find the GCD of 676, 350, 65, 281 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.