Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9727/287,1617/688
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 9727,1617
Greatest Common Factor of Numerators i.e. GCF of 9727,1617 is 1 .
LCM of Denominators means LCM of 287,688 as per the given fractions.
LCM of 287,688 is 197456 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9727,1617
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9727
List of positive integer factors of 9727 that divides 9727 without a remainder.
1,71,137,9727
Factors of 1617
List of positive integer factors of 1617 that divides 1617 without a remainder.
1,3,7,11,21,33,49,77,147,231,539,1617
Greatest Common Factor
We found the factors 9727,1617 . The biggest common factor number is the GCF number.
So the greatest common factor 9727,1617 is 1.
Lets's calculate LCM of 287,688
Given numbers has no common factors except 1. So, there LCM is their product i.e 197456
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/197456
Therefore, the GCF of Fractions 9727/287,1617/688 is 1/197456
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 287,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,688) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(287,688) x common factors =1 x 1 = 1
LCM(287,688) = ( 287 × 688 ) / 1
LCM(287,688) = 197456 / 1
LCM(287,688) = 197456
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 9727/287, 1617/688?
Answer: GCF of Numerators as per given numbers 9727/287, 1617/688 is
GCF of Numerators i.e. for 9727,1617 is 1
LCM of denominators i.e. for 287,688 is 197456.
Thus, GCF of Fractions is 1/197456.Finally, GCF of Fractions for 9727/287, 1617/688 is 1/197456.