Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 841/30,848/50,385/410
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 841,848,385
Greatest Common Factor of Numerators i.e. GCF of 841,848,385 is 1 .
LCM of Denominators means LCM of 30,50,410 as per the given fractions.
LCM of 30,50,410 is 6150 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 841,848,385
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 841
List of positive integer factors of 841 that divides 841 without a remainder.
1,29,841
Factors of 848
List of positive integer factors of 848 that divides 848 without a remainder.
1,2,4,8,16,53,106,212,424,848
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Greatest Common Factor
We found the factors 841,848,385 . The biggest common factor number is the GCF number.
So the greatest common factor 841,848,385 is 1.
Lets's calculate LCM of 30,50,410
2 | 30, 50, 410 |
5 | 15, 25, 205 |
3, 5, 41 |
∴ So the LCM of the given numbers is 2 x 5 x 3 x 5 x 41 = 6150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6150
Therefore, the GCF of Fractions 841/30,848/50,385/410 is 1/6150
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 30,50,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,50,410) = 10
common factors(in case of two or more numbers have common factors) = 10
GCF(30,50,410) x common factors =10 x 10 = 100
LCM(30,50,410) = ( 30 × 50 × 410 ) / 100
LCM(30,50,410) = 615000 / 100
LCM(30,50,410) = 6150
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 841/30, 848/50, 385/410?
Answer: GCF of Numerators as per given numbers 841/30, 848/50, 385/410 is
GCF of Numerators i.e. for 841,848,385 is 1
LCM of denominators i.e. for 30,50,410 is 6150.
Thus, GCF of Fractions is 1/6150.Finally, GCF of Fractions for 841/30, 848/50, 385/410 is 1/6150.