GCD of 112, 169, 57 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 112, 169, 57 quickly. Get the easiest ways to solve the greatest common divisor of 112, 169, 57 i.e 1 in different methods as follows.
Given Input numbers are 112, 169, 57
In the factoring method, we have to find the divisors of all numbers
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
Divisors of 57 :
The positive integer divisors of 57 that completely divides 57 are.
1, 3, 19, 57
GCD of numbers is the greatest common divisor
So, the GCD (112, 169, 57) = 1.
Given numbers are 112, 169, 57
The list of prime factors of all numbers are
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 169 are 13 x 13
Prime factors of 57 are 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 112, 169, 57 using LCM Formula
Given numbers are 112, 169, 57
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(112, 169) = 18928
GCD(112, 169) = ( 112 x 169 ) / 18928
= 112 / 169
= 112
Step2:
LCM(1, 57) = 57
GCD(1, 57) = ( 1 x 57 ) / 57
= 1 / 57
= 1
So, Greatest Common Divisor of 112, 169, 57 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 112, 169, 57
Given numbers are 112, 169, 57
The greatest common divisor of numbers 112, 169, 57 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 169, 57 is 1.
FAQs on GCD of 112, 169, 57 Calculator
1. What is the GCD of 112, 169, 57?
GCD of given numbers 112, 169, 57 is 1
2. How to calculate the greatest common divisor of 112, 169, 57?
We can find the highest common divisor of 112, 169, 57 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 112, 169, 57 i.e 1.
3. How can I use the GCD of 112, 169, 57Calculator?
Out the numbers 112, 169, 57 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.