Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 925/795,5317/104
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 925,5317
Greatest Common Factor of Numerators i.e. GCF of 925,5317 is 1 .
LCM of Denominators means LCM of 795,104 as per the given fractions.
LCM of 795,104 is 82680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 925,5317
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 925
List of positive integer factors of 925 that divides 925 without a remainder.
1,5,25,37,185,925
Factors of 5317
List of positive integer factors of 5317 that divides 5317 without a remainder.
1,13,409,5317
Greatest Common Factor
We found the factors 925,5317 . The biggest common factor number is the GCF number.
So the greatest common factor 925,5317 is 1.
Lets's calculate LCM of 795,104
Given numbers has no common factors except 1. So, there LCM is their product i.e 82680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82680
Therefore, the GCF of Fractions 925/795,5317/104 is 1/82680
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 795,104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(795,104) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(795,104) x common factors =1 x 1 = 1
LCM(795,104) = ( 795 × 104 ) / 1
LCM(795,104) = 82680 / 1
LCM(795,104) = 82680
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 925/795, 5317/104?
Answer: GCF of Numerators as per given numbers 925/795, 5317/104 is
GCF of Numerators i.e. for 925,5317 is 1
LCM of denominators i.e. for 795,104 is 82680.
Thus, GCF of Fractions is 1/82680.Finally, GCF of Fractions for 925/795, 5317/104 is 1/82680.