Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 891/937,4733/857
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 891,4733
Greatest Common Factor of Numerators i.e. GCF of 891,4733 is 1 .
LCM of Denominators means LCM of 937,857 as per the given fractions.
LCM of 937,857 is 803009 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 891,4733
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 891
List of positive integer factors of 891 that divides 891 without a remainder.
1,3,9,11,27,33,81,99,297,891
Factors of 4733
List of positive integer factors of 4733 that divides 4733 without a remainder.
1,4733
Greatest Common Factor
We found the factors 891,4733 . The biggest common factor number is the GCF number.
So the greatest common factor 891,4733 is 1.
Lets's calculate LCM of 937,857
Given numbers has no common factors except 1. So, there LCM is their product i.e 803009
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/803009
Therefore, the GCF of Fractions 891/937,4733/857 is 1/803009
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 937,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(937,857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(937,857) x common factors =1 x 1 = 1
LCM(937,857) = ( 937 × 857 ) / 1
LCM(937,857) = 803009 / 1
LCM(937,857) = 803009
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 891/937, 4733/857?
Answer: GCF of Numerators as per given numbers 891/937, 4733/857 is
GCF of Numerators i.e. for 891,4733 is 1
LCM of denominators i.e. for 937,857 is 803009.
Thus, GCF of Fractions is 1/803009.Finally, GCF of Fractions for 891/937, 4733/857 is 1/803009.