Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4173/91,4120/851
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 4173,4120
Greatest Common Factor of Numerators i.e. GCF of 4173,4120 is 1 .
LCM of Denominators means LCM of 91,851 as per the given fractions.
LCM of 91,851 is 77441 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4173,4120
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4173
List of positive integer factors of 4173 that divides 4173 without a remainder.
1,3,13,39,107,321,1391,4173
Factors of 4120
List of positive integer factors of 4120 that divides 4120 without a remainder.
1,2,4,5,8,10,20,40,103,206,412,515,824,1030,2060,4120
Greatest Common Factor
We found the factors 4173,4120 . The biggest common factor number is the GCF number.
So the greatest common factor 4173,4120 is 1.
Lets's calculate LCM of 91,851
Given numbers has no common factors except 1. So, there LCM is their product i.e 77441
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77441
Therefore, the GCF of Fractions 4173/91,4120/851 is 1/77441
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 91,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,851) x common factors =1 x 1 = 1
LCM(91,851) = ( 91 × 851 ) / 1
LCM(91,851) = 77441 / 1
LCM(91,851) = 77441
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
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 4173/91, 4120/851?
Answer: GCF of Numerators as per given numbers 4173/91, 4120/851 is
GCF of Numerators i.e. for 4173,4120 is 1
LCM of denominators i.e. for 91,851 is 77441.
Thus, GCF of Fractions is 1/77441.Finally, GCF of Fractions for 4173/91, 4120/851 is 1/77441.