Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6337/44,5277/807
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 6337,5277
Greatest Common Factor of Numerators i.e. GCF of 6337,5277 is 1 .
LCM of Denominators means LCM of 44,807 as per the given fractions.
LCM of 44,807 is 35508 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6337,5277
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6337
List of positive integer factors of 6337 that divides 6337 without a remainder.
1,6337
Factors of 5277
List of positive integer factors of 5277 that divides 5277 without a remainder.
1,3,1759,5277
Greatest Common Factor
We found the factors 6337,5277 . The biggest common factor number is the GCF number.
So the greatest common factor 6337,5277 is 1.
Lets's calculate LCM of 44,807
Given numbers has no common factors except 1. So, there LCM is their product i.e 35508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35508
Therefore, the GCF of Fractions 6337/44,5277/807 is 1/35508
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 44,807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,807) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,807) x common factors =1 x 1 = 1
LCM(44,807) = ( 44 × 807 ) / 1
LCM(44,807) = 35508 / 1
LCM(44,807) = 35508
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 6337/44, 5277/807?
Answer: GCF of Numerators as per given numbers 6337/44, 5277/807 is
GCF of Numerators i.e. for 6337,5277 is 1
LCM of denominators i.e. for 44,807 is 35508.
Thus, GCF of Fractions is 1/35508.Finally, GCF of Fractions for 6337/44, 5277/807 is 1/35508.