GCD of 351, 702, 260 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 351, 702, 260 quickly. Get the easiest ways to solve the greatest common divisor of 351, 702, 260 i.e 13 in different methods as follows.
Given Input numbers are 351, 702, 260
In the factoring method, we have to find the divisors of all numbers
Divisors of 351 :
The positive integer divisors of 351 that completely divides 351 are.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 260 :
The positive integer divisors of 260 that completely divides 260 are.
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
GCD of numbers is the greatest common divisor
So, the GCD (351, 702, 260) = 13.
Given numbers are 351, 702, 260
The list of prime factors of all numbers are
Prime factors of 351 are 3 x 3 x 3 x 13
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
Prime factors of 260 are 2 x 2 x 5 x 13
The highest common occurrence is 131
Therefore, GCD of 351, 702, 260 is 13.
Steps to Calculate GCD of 351, 702, 260 using LCM Formula
Given numbers are 351, 702, 260
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(351, 702) = 702
GCD(351, 702) = ( 351 x 702 ) / 702
= 351 / 702
= 351
Step2:
LCM(351, 260) = 7020
GCD(351, 260) = ( 351 x 260 ) / 7020
= 351 / 260
= 351
So, Greatest Common Divisor of 351, 702, 260 is 13
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 351, 702, 260
Given numbers are 351, 702, 260
The greatest common divisor of numbers 351, 702, 260 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 351, 702, 260 is 13.
FAQs on GCD of 351, 702, 260 Calculator
1. What is the GCD of 351, 702, 260?
GCD of given numbers 351, 702, 260 is 13
2. How to calculate the greatest common divisor of 351, 702, 260?
We can find the highest common divisor of 351, 702, 260 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 351, 702, 260 i.e 13.
3. How can I use the GCD of 351, 702, 260Calculator?
Out the numbers 351, 702, 260 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.