Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2941/629,4720/151
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 2941,4720
Greatest Common Factor of Numerators i.e. GCF of 2941,4720 is 1 .
LCM of Denominators means LCM of 629,151 as per the given fractions.
LCM of 629,151 is 94979 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2941,4720
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2941
List of positive integer factors of 2941 that divides 2941 without a remainder.
1,17,173,2941
Factors of 4720
List of positive integer factors of 4720 that divides 4720 without a remainder.
1,2,4,5,8,10,16,20,40,59,80,118,236,295,472,590,944,1180,2360,4720
Greatest Common Factor
We found the factors 2941,4720 . The biggest common factor number is the GCF number.
So the greatest common factor 2941,4720 is 1.
Lets's calculate LCM of 629,151
Given numbers has no common factors except 1. So, there LCM is their product i.e 94979
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/94979
Therefore, the GCF of Fractions 2941/629,4720/151 is 1/94979
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 629,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(629,151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(629,151) x common factors =1 x 1 = 1
LCM(629,151) = ( 629 × 151 ) / 1
LCM(629,151) = 94979 / 1
LCM(629,151) = 94979
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 2941/629, 4720/151?
Answer: GCF of Numerators as per given numbers 2941/629, 4720/151 is
GCF of Numerators i.e. for 2941,4720 is 1
LCM of denominators i.e. for 629,151 is 94979.
Thus, GCF of Fractions is 1/94979.Finally, GCF of Fractions for 2941/629, 4720/151 is 1/94979.