Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6817/88,2649/523
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 6817,2649
Greatest Common Factor of Numerators i.e. GCF of 6817,2649 is 1 .
LCM of Denominators means LCM of 88,523 as per the given fractions.
LCM of 88,523 is 46024 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6817,2649
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6817
List of positive integer factors of 6817 that divides 6817 without a remainder.
1,17,401,6817
Factors of 2649
List of positive integer factors of 2649 that divides 2649 without a remainder.
1,3,883,2649
Greatest Common Factor
We found the factors 6817,2649 . The biggest common factor number is the GCF number.
So the greatest common factor 6817,2649 is 1.
Lets's calculate LCM of 88,523
Given numbers has no common factors except 1. So, there LCM is their product i.e 46024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46024
Therefore, the GCF of Fractions 6817/88,2649/523 is 1/46024
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 88,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,523) x common factors =1 x 1 = 1
LCM(88,523) = ( 88 × 523 ) / 1
LCM(88,523) = 46024 / 1
LCM(88,523) = 46024
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 6817/88, 2649/523?
Answer: GCF of Numerators as per given numbers 6817/88, 2649/523 is
GCF of Numerators i.e. for 6817,2649 is 1
LCM of denominators i.e. for 88,523 is 46024.
Thus, GCF of Fractions is 1/46024.Finally, GCF of Fractions for 6817/88, 2649/523 is 1/46024.