Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5687/74,9056/845
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 5687,9056
Greatest Common Factor of Numerators i.e. GCF of 5687,9056 is 1 .
LCM of Denominators means LCM of 74,845 as per the given fractions.
LCM of 74,845 is 62530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5687,9056
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5687
List of positive integer factors of 5687 that divides 5687 without a remainder.
1,11,47,121,517,5687
Factors of 9056
List of positive integer factors of 9056 that divides 9056 without a remainder.
1,2,4,8,16,32,283,566,1132,2264,4528,9056
Greatest Common Factor
We found the factors 5687,9056 . The biggest common factor number is the GCF number.
So the greatest common factor 5687,9056 is 1.
Lets's calculate LCM of 74,845
Given numbers has no common factors except 1. So, there LCM is their product i.e 62530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62530
Therefore, the GCF of Fractions 5687/74,9056/845 is 1/62530
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 74,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,845) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(74,845) x common factors =1 x 1 = 1
LCM(74,845) = ( 74 × 845 ) / 1
LCM(74,845) = 62530 / 1
LCM(74,845) = 62530
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 5687/74, 9056/845?
Answer: GCF of Numerators as per given numbers 5687/74, 9056/845 is
GCF of Numerators i.e. for 5687,9056 is 1
LCM of denominators i.e. for 74,845 is 62530.
Thus, GCF of Fractions is 1/62530.Finally, GCF of Fractions for 5687/74, 9056/845 is 1/62530.