Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7675/917,1493/5148
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 7675,1493
Greatest Common Factor of Numerators i.e. GCF of 7675,1493 is 1 .
LCM of Denominators means LCM of 917,5148 as per the given fractions.
LCM of 917,5148 is 4720716 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7675,1493
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7675
List of positive integer factors of 7675 that divides 7675 without a remainder.
1,5,25,307,1535,7675
Factors of 1493
List of positive integer factors of 1493 that divides 1493 without a remainder.
1,1493
Greatest Common Factor
We found the factors 7675,1493 . The biggest common factor number is the GCF number.
So the greatest common factor 7675,1493 is 1.
Lets's calculate LCM of 917,5148
Given numbers has no common factors except 1. So, there LCM is their product i.e 4720716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4720716
Therefore, the GCF of Fractions 7675/917,1493/5148 is 1/4720716
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 917,5148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(917,5148) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(917,5148) x common factors =1 x 1 = 1
LCM(917,5148) = ( 917 × 5148 ) / 1
LCM(917,5148) = 4720716 / 1
LCM(917,5148) = 4720716
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 7675/917, 1493/5148?
Answer: GCF of Numerators as per given numbers 7675/917, 1493/5148 is
GCF of Numerators i.e. for 7675,1493 is 1
LCM of denominators i.e. for 917,5148 is 4720716.
Thus, GCF of Fractions is 1/4720716.Finally, GCF of Fractions for 7675/917, 1493/5148 is 1/4720716.