GCD of 177, 123, 314, 765 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 177, 123, 314, 765 quickly. Get the easiest ways to solve the greatest common divisor of 177, 123, 314, 765 i.e 1 in different methods as follows.
Given Input numbers are 177, 123, 314, 765
In the factoring method, we have to find the divisors of all numbers
Divisors of 177 :
The positive integer divisors of 177 that completely divides 177 are.
1, 3, 59, 177
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
GCD of numbers is the greatest common divisor
So, the GCD (177, 123, 314, 765) = 1.
Given numbers are 177, 123, 314, 765
The list of prime factors of all numbers are
Prime factors of 177 are 3 x 59
Prime factors of 123 are 3 x 41
Prime factors of 314 are 2 x 157
Prime factors of 765 are 3 x 3 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 177, 123, 314, 765 using LCM Formula
Given numbers are 177, 123, 314, 765
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(177, 123) = 7257
GCD(177, 123) = ( 177 x 123 ) / 7257
= 177 / 123
= 177
Step2:
LCM(3, 314) = 942
GCD(3, 314) = ( 3 x 314 ) / 942
= 3 / 314
= 3
Step3:
LCM(1, 765) = 765
GCD(1, 765) = ( 1 x 765 ) / 765
= 1 / 765
= 1
So, Greatest Common Divisor of 177, 123, 314, 765 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 177, 123, 314, 765
Given numbers are 177, 123, 314, 765
The greatest common divisor of numbers 177, 123, 314, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 177, 123, 314, 765 is 1.
FAQs on GCD of 177, 123, 314, 765 Calculator
1. What is the GCD of 177, 123, 314, 765?
GCD of given numbers 177, 123, 314, 765 is 1
2. How to calculate the greatest common divisor of 177, 123, 314, 765?
We can find the highest common divisor of 177, 123, 314, 765 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 177, 123, 314, 765 i.e 1.
3. How can I use the GCD of 177, 123, 314, 765Calculator?
Out the numbers 177, 123, 314, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.