Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2756/560,1345/887
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 2756,1345
Greatest Common Factor of Numerators i.e. GCF of 2756,1345 is 1 .
LCM of Denominators means LCM of 560,887 as per the given fractions.
LCM of 560,887 is 496720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2756,1345
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2756
List of positive integer factors of 2756 that divides 2756 without a remainder.
1,2,4,13,26,52,53,106,212,689,1378,2756
Factors of 1345
List of positive integer factors of 1345 that divides 1345 without a remainder.
1,5,269,1345
Greatest Common Factor
We found the factors 2756,1345 . The biggest common factor number is the GCF number.
So the greatest common factor 2756,1345 is 1.
Lets's calculate LCM of 560,887
Given numbers has no common factors except 1. So, there LCM is their product i.e 496720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/496720
Therefore, the GCF of Fractions 2756/560,1345/887 is 1/496720
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 560,887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(560,887) x common factors =1 x 1 = 1
LCM(560,887) = ( 560 × 887 ) / 1
LCM(560,887) = 496720 / 1
LCM(560,887) = 496720
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 2756/560, 1345/887?
Answer: GCF of Numerators as per given numbers 2756/560, 1345/887 is
GCF of Numerators i.e. for 2756,1345 is 1
LCM of denominators i.e. for 560,887 is 496720.
Thus, GCF of Fractions is 1/496720.Finally, GCF of Fractions for 2756/560, 1345/887 is 1/496720.