Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1013/717,9893/632
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 1013,9893
Greatest Common Factor of Numerators i.e. GCF of 1013,9893 is 1 .
LCM of Denominators means LCM of 717,632 as per the given fractions.
LCM of 717,632 is 453144 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1013,9893
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1013
List of positive integer factors of 1013 that divides 1013 without a remainder.
1,1013
Factors of 9893
List of positive integer factors of 9893 that divides 9893 without a remainder.
1,13,761,9893
Greatest Common Factor
We found the factors 1013,9893 . The biggest common factor number is the GCF number.
So the greatest common factor 1013,9893 is 1.
Lets's calculate LCM of 717,632
Given numbers has no common factors except 1. So, there LCM is their product i.e 453144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/453144
Therefore, the GCF of Fractions 1013/717,9893/632 is 1/453144
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 717,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(717,632) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(717,632) x common factors =1 x 1 = 1
LCM(717,632) = ( 717 × 632 ) / 1
LCM(717,632) = 453144 / 1
LCM(717,632) = 453144
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 1013/717, 9893/632?
Answer: GCF of Numerators as per given numbers 1013/717, 9893/632 is
GCF of Numerators i.e. for 1013,9893 is 1
LCM of denominators i.e. for 717,632 is 453144.
Thus, GCF of Fractions is 1/453144.Finally, GCF of Fractions for 1013/717, 9893/632 is 1/453144.