Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5925/62,7865/718
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 5925,7865
Greatest Common Factor of Numerators i.e. GCF of 5925,7865 is 5 .
LCM of Denominators means LCM of 62,718 as per the given fractions.
LCM of 62,718 is 22258 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5925,7865
5 | 5925, 7865 |
1185, 1573 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 5925
List of positive integer factors of 5925 that divides 5925 without a remainder.
1,3,5,15,25,75,79,237,395,1185,1975,5925
Factors of 7865
List of positive integer factors of 7865 that divides 7865 without a remainder.
1,5,11,13,55,65,121,143,605,715,1573,7865
Greatest Common Factor
We found the factors 5925,7865 . The biggest common factor number is the GCF number.
So the greatest common factor 5925,7865 is 5.
Lets's calculate LCM of 62,718
2 | 62, 718 |
31, 359 |
∴ So the LCM of the given numbers is 2 x 31 x 359 = 22258
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/22258
Therefore, the GCF of Fractions 5925/62,7865/718 is 5/22258
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 62,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,718) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(62,718) x common factors =2 x 1 = 2
LCM(62,718) = ( 62 × 718 ) / 2
LCM(62,718) = 44516 / 2
LCM(62,718) = 22258
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 5925/62, 7865/718?
Answer: GCF of Numerators as per given numbers 5925/62, 7865/718 is
GCF of Numerators i.e. for 5925,7865 is 5
LCM of denominators i.e. for 62,718 is 22258.
Thus, GCF of Fractions is 5/22258.Finally, GCF of Fractions for 5925/62, 7865/718 is 5/22258.