Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7930/229,1311/1488
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 7930,1311
Greatest Common Factor of Numerators i.e. GCF of 7930,1311 is 1 .
LCM of Denominators means LCM of 229,1488 as per the given fractions.
LCM of 229,1488 is 340752 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7930,1311
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7930
List of positive integer factors of 7930 that divides 7930 without a remainder.
1,2,5,10,13,26,61,65,122,130,305,610,793,1586,3965,7930
Factors of 1311
List of positive integer factors of 1311 that divides 1311 without a remainder.
1,3,19,23,57,69,437,1311
Greatest Common Factor
We found the factors 7930,1311 . The biggest common factor number is the GCF number.
So the greatest common factor 7930,1311 is 1.
Lets's calculate LCM of 229,1488
Given numbers has no common factors except 1. So, there LCM is their product i.e 340752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/340752
Therefore, the GCF of Fractions 7930/229,1311/1488 is 1/340752
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 229,1488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(229,1488) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(229,1488) x common factors =1 x 1 = 1
LCM(229,1488) = ( 229 × 1488 ) / 1
LCM(229,1488) = 340752 / 1
LCM(229,1488) = 340752
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 7930/229, 1311/1488?
Answer: GCF of Numerators as per given numbers 7930/229, 1311/1488 is
GCF of Numerators i.e. for 7930,1311 is 1
LCM of denominators i.e. for 229,1488 is 340752.
Thus, GCF of Fractions is 1/340752.Finally, GCF of Fractions for 7930/229, 1311/1488 is 1/340752.