Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9485/925,4553/938
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 9485,4553
Greatest Common Factor of Numerators i.e. GCF of 9485,4553 is 1 .
LCM of Denominators means LCM of 925,938 as per the given fractions.
LCM of 925,938 is 867650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9485,4553
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9485
List of positive integer factors of 9485 that divides 9485 without a remainder.
1,5,7,35,271,1355,1897,9485
Factors of 4553
List of positive integer factors of 4553 that divides 4553 without a remainder.
1,29,157,4553
Greatest Common Factor
We found the factors 9485,4553 . The biggest common factor number is the GCF number.
So the greatest common factor 9485,4553 is 1.
Lets's calculate LCM of 925,938
Given numbers has no common factors except 1. So, there LCM is their product i.e 867650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/867650
Therefore, the GCF of Fractions 9485/925,4553/938 is 1/867650
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 925,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(925,938) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(925,938) x common factors =1 x 1 = 1
LCM(925,938) = ( 925 × 938 ) / 1
LCM(925,938) = 867650 / 1
LCM(925,938) = 867650
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 9485/925, 4553/938?
Answer: GCF of Numerators as per given numbers 9485/925, 4553/938 is
GCF of Numerators i.e. for 9485,4553 is 1
LCM of denominators i.e. for 925,938 is 867650.
Thus, GCF of Fractions is 1/867650.Finally, GCF of Fractions for 9485/925, 4553/938 is 1/867650.