GCD of 755, 355, 160 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 755, 355, 160 quickly. Get the easiest ways to solve the greatest common divisor of 755, 355, 160 i.e 5 in different methods as follows.
Given Input numbers are 755, 355, 160
In the factoring method, we have to find the divisors of all numbers
Divisors of 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
Divisors of 355 :
The positive integer divisors of 355 that completely divides 355 are.
1, 5, 71, 355
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
GCD of numbers is the greatest common divisor
So, the GCD (755, 355, 160) = 5.
Given numbers are 755, 355, 160
The list of prime factors of all numbers are
Prime factors of 755 are 5 x 151
Prime factors of 355 are 5 x 71
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 51
Therefore, GCD of 755, 355, 160 is 5.
Steps to Calculate GCD of 755, 355, 160 using LCM Formula
Given numbers are 755, 355, 160
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(755, 355) = 53605
GCD(755, 355) = ( 755 x 355 ) / 53605
= 755 / 355
= 755
Step2:
LCM(5, 160) = 160
GCD(5, 160) = ( 5 x 160 ) / 160
= 5 / 160
= 5
So, Greatest Common Divisor of 755, 355, 160 is 5
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 755, 355, 160
Given numbers are 755, 355, 160
The greatest common divisor of numbers 755, 355, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 755, 355, 160 is 5.
FAQs on GCD of 755, 355, 160 Calculator
1. What is the GCD of 755, 355, 160?
GCD of given numbers 755, 355, 160 is 5
2. How to calculate the greatest common divisor of 755, 355, 160?
We can find the highest common divisor of 755, 355, 160 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 755, 355, 160 i.e 5.
3. How can I use the GCD of 755, 355, 160Calculator?
Out the numbers 755, 355, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.