Get help with finding GCF of fractions 85/29, 50/91, 514/673 using GCF of Fractions Calculator to know the result 1/1776047 the largest number that divides all the numbers with a zero remainder.
Greatest common factor (GCF) of 85/29, 50/91, 514/673 is 1/1776047.
GCF(85/29, 50/91, 514/673) = 1/1776047
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 85/29,50/91,514/673
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 85,50,514
Greatest Common Factor of Numerators i.e. GCF of 85,50,514 is 1 .
LCM of Denominators means LCM of 29,91,673 as per the given fractions.
LCM of 29,91,673 is 1776047 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 85,50,514
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
Factors of 514
List of positive integer factors of 514 that divides 514 without a remainder.
Greatest Common Factor
We found the factors 85,50,514 . The biggest common factor number is the GCF number.
So the greatest common factor 85,50,514 is 1.
Lets's calculate LCM of 29,91,673
Given numbers has no common factors except 1. So, there LCM is their product i.e 1776047
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1776047
Therefore, the GCF of Fractions 85/29,50/91,514/673 is 1/1776047
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 29,91,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,91,673) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,91,673) x common factors =1 x 1 = 1
LCM(29,91,673) = ( 29 × 91 × 673 ) / 1
LCM(29,91,673) = 1776047 / 1
LCM(29,91,673) = 1776047
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 85/29, 50/91, 514/673?
Answer: GCF of Numerators as per given numbers 85/29, 50/91, 514/673 is
GCF of Numerators i.e. for 85,50,514 is 1
LCM of denominators i.e. for 29,91,673 is 1776047.
Thus, GCF of Fractions is 1/1776047.Finally, GCF of Fractions for 85/29, 50/91, 514/673 is 1/1776047.