Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7013/860,3863/753
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 7013,3863
Greatest Common Factor of Numerators i.e. GCF of 7013,3863 is 1 .
LCM of Denominators means LCM of 860,753 as per the given fractions.
LCM of 860,753 is 647580 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7013,3863
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7013
List of positive integer factors of 7013 that divides 7013 without a remainder.
1,7013
Factors of 3863
List of positive integer factors of 3863 that divides 3863 without a remainder.
1,3863
Greatest Common Factor
We found the factors 7013,3863 . The biggest common factor number is the GCF number.
So the greatest common factor 7013,3863 is 1.
Lets's calculate LCM of 860,753
Given numbers has no common factors except 1. So, there LCM is their product i.e 647580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/647580
Therefore, the GCF of Fractions 7013/860,3863/753 is 1/647580
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 860,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(860,753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(860,753) x common factors =1 x 1 = 1
LCM(860,753) = ( 860 × 753 ) / 1
LCM(860,753) = 647580 / 1
LCM(860,753) = 647580
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 7013/860, 3863/753?
Answer: GCF of Numerators as per given numbers 7013/860, 3863/753 is
GCF of Numerators i.e. for 7013,3863 is 1
LCM of denominators i.e. for 860,753 is 647580.
Thus, GCF of Fractions is 1/647580.Finally, GCF of Fractions for 7013/860, 3863/753 is 1/647580.