Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 61/523,4880/8037
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 61,4880
Greatest Common Factor of Numerators i.e. GCF of 61,4880 is 61 .
LCM of Denominators means LCM of 523,8037 as per the given fractions.
LCM of 523,8037 is 4203351 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 61,4880
61 | 61, 4880 |
1, 80 |
∴ So the GCF of the given numbers is 61 = 61
Factors of 61
List of positive integer factors of 61 that divides 61 without a remainder.
1,61
Factors of 4880
List of positive integer factors of 4880 that divides 4880 without a remainder.
1,2,4,5,8,10,16,20,40,61,80,122,244,305,488,610,976,1220,2440,4880
Greatest Common Factor
We found the factors 61,4880 . The biggest common factor number is the GCF number.
So the greatest common factor 61,4880 is 61.
Lets's calculate LCM of 523,8037
Given numbers has no common factors except 1. So, there LCM is their product i.e 4203351
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/4203351
Therefore, the GCF of Fractions 61/523,4880/8037 is 61/4203351
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 523,8037 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(523,8037) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(523,8037) x common factors =1 x 1 = 1
LCM(523,8037) = ( 523 × 8037 ) / 1
LCM(523,8037) = 4203351 / 1
LCM(523,8037) = 4203351
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 61/523, 4880/8037?
Answer: GCF of Numerators as per given numbers 61/523, 4880/8037 is
GCF of Numerators i.e. for 61,4880 is 61
LCM of denominators i.e. for 523,8037 is 4203351.
Thus, GCF of Fractions is 61/4203351.Finally, GCF of Fractions for 61/523, 4880/8037 is 61/4203351.