GCD of 855, 740, 755 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 855, 740, 755 quickly. Get the easiest ways to solve the greatest common divisor of 855, 740, 755 i.e 5 in different methods as follows.
Given Input numbers are 855, 740, 755
In the factoring method, we have to find the divisors of all numbers
Divisors of 855 :
The positive integer divisors of 855 that completely divides 855 are.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
GCD of numbers is the greatest common divisor
So, the GCD (855, 740, 755) = 5.
Given numbers are 855, 740, 755
The list of prime factors of all numbers are
Prime factors of 855 are 3 x 3 x 5 x 19
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 755 are 5 x 151
The highest common occurrence is 51
Therefore, GCD of 855, 740, 755 is 5.
Steps to Calculate GCD of 855, 740, 755 using LCM Formula
Given numbers are 855, 740, 755
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(855, 740) = 126540
GCD(855, 740) = ( 855 x 740 ) / 126540
= 855 / 740
= 855
Step2:
LCM(5, 755) = 755
GCD(5, 755) = ( 5 x 755 ) / 755
= 5 / 755
= 5
So, Greatest Common Divisor of 855, 740, 755 is 5
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 855, 740, 755
Given numbers are 855, 740, 755
The greatest common divisor of numbers 855, 740, 755 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 855, 740, 755 is 5.
FAQs on GCD of 855, 740, 755 Calculator
1. What is the GCD of 855, 740, 755?
GCD of given numbers 855, 740, 755 is 5
2. How to calculate the greatest common divisor of 855, 740, 755?
We can find the highest common divisor of 855, 740, 755 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 855, 740, 755 i.e 5.
3. How can I use the GCD of 855, 740, 755Calculator?
Out the numbers 855, 740, 755 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.