Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1153/499,6932/627
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 1153,6932
Greatest Common Factor of Numerators i.e. GCF of 1153,6932 is 1 .
LCM of Denominators means LCM of 499,627 as per the given fractions.
LCM of 499,627 is 312873 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1153,6932
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1153
List of positive integer factors of 1153 that divides 1153 without a remainder.
1,1153
Factors of 6932
List of positive integer factors of 6932 that divides 6932 without a remainder.
1,2,4,1733,3466,6932
Greatest Common Factor
We found the factors 1153,6932 . The biggest common factor number is the GCF number.
So the greatest common factor 1153,6932 is 1.
Lets's calculate LCM of 499,627
Given numbers has no common factors except 1. So, there LCM is their product i.e 312873
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/312873
Therefore, the GCF of Fractions 1153/499,6932/627 is 1/312873
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 499,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(499,627) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(499,627) x common factors =1 x 1 = 1
LCM(499,627) = ( 499 × 627 ) / 1
LCM(499,627) = 312873 / 1
LCM(499,627) = 312873
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 1153/499, 6932/627?
Answer: GCF of Numerators as per given numbers 1153/499, 6932/627 is
GCF of Numerators i.e. for 1153,6932 is 1
LCM of denominators i.e. for 499,627 is 312873.
Thus, GCF of Fractions is 1/312873.Finally, GCF of Fractions for 1153/499, 6932/627 is 1/312873.