Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5527/935,4720/724
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 5527,4720
Greatest Common Factor of Numerators i.e. GCF of 5527,4720 is 1 .
LCM of Denominators means LCM of 935,724 as per the given fractions.
LCM of 935,724 is 676940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5527,4720
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5527
List of positive integer factors of 5527 that divides 5527 without a remainder.
1,5527
Factors of 4720
List of positive integer factors of 4720 that divides 4720 without a remainder.
1,2,4,5,8,10,16,20,40,59,80,118,236,295,472,590,944,1180,2360,4720
Greatest Common Factor
We found the factors 5527,4720 . The biggest common factor number is the GCF number.
So the greatest common factor 5527,4720 is 1.
Lets's calculate LCM of 935,724
Given numbers has no common factors except 1. So, there LCM is their product i.e 676940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/676940
Therefore, the GCF of Fractions 5527/935,4720/724 is 1/676940
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 935,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(935,724) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(935,724) x common factors =1 x 1 = 1
LCM(935,724) = ( 935 × 724 ) / 1
LCM(935,724) = 676940 / 1
LCM(935,724) = 676940
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 5527/935, 4720/724?
Answer: GCF of Numerators as per given numbers 5527/935, 4720/724 is
GCF of Numerators i.e. for 5527,4720 is 1
LCM of denominators i.e. for 935,724 is 676940.
Thus, GCF of Fractions is 1/676940.Finally, GCF of Fractions for 5527/935, 4720/724 is 1/676940.