Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9535/878,3720/4972
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 9535,3720
Greatest Common Factor of Numerators i.e. GCF of 9535,3720 is 5 .
LCM of Denominators means LCM of 878,4972 as per the given fractions.
LCM of 878,4972 is 2182708 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9535,3720
5 | 9535, 3720 |
1907, 744 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 9535
List of positive integer factors of 9535 that divides 9535 without a remainder.
1,5,1907,9535
Factors of 3720
List of positive integer factors of 3720 that divides 3720 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,31,40,60,62,93,120,124,155,186,248,310,372,465,620,744,930,1240,1860,3720
Greatest Common Factor
We found the factors 9535,3720 . The biggest common factor number is the GCF number.
So the greatest common factor 9535,3720 is 5.
Lets's calculate LCM of 878,4972
2 | 878, 4972 |
439, 2486 |
∴ So the LCM of the given numbers is 2 x 439 x 2486 = 2182708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2182708
Therefore, the GCF of Fractions 9535/878,3720/4972 is 5/2182708
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 878,4972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,4972) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(878,4972) x common factors =2 x 1 = 2
LCM(878,4972) = ( 878 × 4972 ) / 2
LCM(878,4972) = 4365416 / 2
LCM(878,4972) = 2182708
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 9535/878, 3720/4972?
Answer: GCF of Numerators as per given numbers 9535/878, 3720/4972 is
GCF of Numerators i.e. for 9535,3720 is 5
LCM of denominators i.e. for 878,4972 is 2182708.
Thus, GCF of Fractions is 5/2182708.Finally, GCF of Fractions for 9535/878, 3720/4972 is 5/2182708.