Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6623/60,4736/809
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 6623,4736
Greatest Common Factor of Numerators i.e. GCF of 6623,4736 is 37 .
LCM of Denominators means LCM of 60,809 as per the given fractions.
LCM of 60,809 is 48540 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6623,4736
37 | 6623, 4736 |
179, 128 |
∴ So the GCF of the given numbers is 37 = 37
Factors of 6623
List of positive integer factors of 6623 that divides 6623 without a remainder.
1,37,179,6623
Factors of 4736
List of positive integer factors of 4736 that divides 4736 without a remainder.
1,2,4,8,16,32,37,64,74,128,148,296,592,1184,2368,4736
Greatest Common Factor
We found the factors 6623,4736 . The biggest common factor number is the GCF number.
So the greatest common factor 6623,4736 is 37.
Lets's calculate LCM of 60,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 48540
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/48540
Therefore, the GCF of Fractions 6623/60,4736/809 is 37/48540
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 60,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(60,809) x common factors =1 x 1 = 1
LCM(60,809) = ( 60 × 809 ) / 1
LCM(60,809) = 48540 / 1
LCM(60,809) = 48540
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 6623/60, 4736/809?
Answer: GCF of Numerators as per given numbers 6623/60, 4736/809 is
GCF of Numerators i.e. for 6623,4736 is 37
LCM of denominators i.e. for 60,809 is 48540.
Thus, GCF of Fractions is 37/48540.Finally, GCF of Fractions for 6623/60, 4736/809 is 37/48540.