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 260, 710, 334, 751 i.e. 1 largest integer that divides all the numbers equally.
GCD of 260, 710, 334, 751 is 1
GCD(260, 710, 334, 751) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 260, 710, 334, 751 is 1
GCD(260, 710, 334, 751) = 1
Given Input numbers are 260, 710, 334, 751
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 260
List of positive integer divisors of 260 that divides 260 without a remainder.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
Divisors of 710
List of positive integer divisors of 710 that divides 710 without a remainder.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Divisors of 751
List of positive integer divisors of 751 that divides 751 without a remainder.
1, 751
Greatest Common Divisior
We found the divisors of 260, 710, 334, 751 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 260, 710, 334, 751 is 1.
Therefore, GCD of numbers 260, 710, 334, 751 is 1
Given Input Data is 260, 710, 334, 751
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 260 is 2 x 2 x 5 x 13
Prime Factorization of 710 is 2 x 5 x 71
Prime Factorization of 334 is 2 x 167
Prime Factorization of 751 is 751
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(260, 710) = 18460
GCD(260, 710) = ( 260 x 710 ) / 18460
GCD(260, 710) = 184600 / 18460
GCD(260, 710) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 334
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 334) = 1670
GCD(10, 334) = ( 10 x 334 ) / 1670
GCD(10, 334) = 3340 / 1670
GCD(10, 334) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 751
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 751) = 1502
GCD(2, 751) = ( 2 x 751 ) / 1502
GCD(2, 751) = 1502 / 1502
GCD(2, 751) = 1
GCD of 260, 710, 334, 751 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 260, 710, 334, 751?
GCD of 260, 710, 334, 751 is 1
2. Where do I get the detailed procedure to find GCD of 260, 710, 334, 751?
You can find a detailed procedure to find GCD of 260, 710, 334, 751 on our page.
3. How to find GCD of 260, 710, 334, 751 on a calculator?
You can find the GCD of 260, 710, 334, 751 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.