GCD of 116, 759, 17, 477 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 116, 759, 17, 477 quickly. Get the easiest ways to solve the greatest common divisor of 116, 759, 17, 477 i.e 1 in different methods as follows.
Given Input numbers are 116, 759, 17, 477
In the factoring method, we have to find the divisors of all numbers
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
Divisors of 759 :
The positive integer divisors of 759 that completely divides 759 are.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 17 :
The positive integer divisors of 17 that completely divides 17 are.
1, 17
Divisors of 477 :
The positive integer divisors of 477 that completely divides 477 are.
1, 3, 9, 53, 159, 477
GCD of numbers is the greatest common divisor
So, the GCD (116, 759, 17, 477) = 1.
Given numbers are 116, 759, 17, 477
The list of prime factors of all numbers are
Prime factors of 116 are 2 x 2 x 29
Prime factors of 759 are 3 x 11 x 23
Prime factors of 17 are 17
Prime factors of 477 are 3 x 3 x 53
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 116, 759, 17, 477 using LCM Formula
Given numbers are 116, 759, 17, 477
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(116, 759) = 88044
GCD(116, 759) = ( 116 x 759 ) / 88044
= 116 / 759
= 116
Step2:
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
= 1 / 17
= 1
Step3:
LCM(1, 477) = 477
GCD(1, 477) = ( 1 x 477 ) / 477
= 1 / 477
= 1
So, Greatest Common Divisor of 116, 759, 17, 477 is 1
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 116, 759, 17, 477
Given numbers are 116, 759, 17, 477
The greatest common divisor of numbers 116, 759, 17, 477 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 759, 17, 477 is 1.
FAQs on GCD of 116, 759, 17, 477 Calculator
1. What is the GCD of 116, 759, 17, 477?
GCD of given numbers 116, 759, 17, 477 is 1
2. How to calculate the greatest common divisor of 116, 759, 17, 477?
We can find the highest common divisor of 116, 759, 17, 477 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 116, 759, 17, 477 i.e 1.
3. How can I use the GCD of 116, 759, 17, 477Calculator?
Out the numbers 116, 759, 17, 477 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.