Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8897/575,5282/481
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 8897,5282
Greatest Common Factor of Numerators i.e. GCF of 8897,5282 is 1 .
LCM of Denominators means LCM of 575,481 as per the given fractions.
LCM of 575,481 is 276575 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8897,5282
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8897
List of positive integer factors of 8897 that divides 8897 without a remainder.
1,7,31,41,217,287,1271,8897
Factors of 5282
List of positive integer factors of 5282 that divides 5282 without a remainder.
1,2,19,38,139,278,2641,5282
Greatest Common Factor
We found the factors 8897,5282 . The biggest common factor number is the GCF number.
So the greatest common factor 8897,5282 is 1.
Lets's calculate LCM of 575,481
Given numbers has no common factors except 1. So, there LCM is their product i.e 276575
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/276575
Therefore, the GCF of Fractions 8897/575,5282/481 is 1/276575
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 575,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,481) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(575,481) x common factors =1 x 1 = 1
LCM(575,481) = ( 575 × 481 ) / 1
LCM(575,481) = 276575 / 1
LCM(575,481) = 276575
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 8897/575, 5282/481?
Answer: GCF of Numerators as per given numbers 8897/575, 5282/481 is
GCF of Numerators i.e. for 8897,5282 is 1
LCM of denominators i.e. for 575,481 is 276575.
Thus, GCF of Fractions is 1/276575.Finally, GCF of Fractions for 8897/575, 5282/481 is 1/276575.