Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5024/867,8888/643
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 5024,8888
Greatest Common Factor of Numerators i.e. GCF of 5024,8888 is 8 .
LCM of Denominators means LCM of 867,643 as per the given fractions.
LCM of 867,643 is 557481 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5024,8888
2 | 5024, 8888 |
2 | 2512, 4444 |
2 | 1256, 2222 |
628, 1111 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 5024
List of positive integer factors of 5024 that divides 5024 without a remainder.
1,2,4,8,16,32,157,314,628,1256,2512,5024
Factors of 8888
List of positive integer factors of 8888 that divides 8888 without a remainder.
1,2,4,8,11,22,44,88,101,202,404,808,1111,2222,4444,8888
Greatest Common Factor
We found the factors 5024,8888 . The biggest common factor number is the GCF number.
So the greatest common factor 5024,8888 is 8.
Lets's calculate LCM of 867,643
Given numbers has no common factors except 1. So, there LCM is their product i.e 557481
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/557481
Therefore, the GCF of Fractions 5024/867,8888/643 is 8/557481
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 867,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(867,643) x common factors =1 x 1 = 1
LCM(867,643) = ( 867 × 643 ) / 1
LCM(867,643) = 557481 / 1
LCM(867,643) = 557481
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 5024/867, 8888/643?
Answer: GCF of Numerators as per given numbers 5024/867, 8888/643 is
GCF of Numerators i.e. for 5024,8888 is 8
LCM of denominators i.e. for 867,643 is 557481.
Thus, GCF of Fractions is 8/557481.Finally, GCF of Fractions for 5024/867, 8888/643 is 8/557481.