Get help with finding GCF of fractions 4841/24, 3463/935 using GCF of Fractions Calculator to know the result 1/22440 the largest number that divides all the numbers with a zero remainder.
Greatest common factor (GCF) of 4841/24, 3463/935 is 1/22440.
GCF(4841/24, 3463/935) = 1/22440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4841/24,3463/935
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 4841,3463
Greatest Common Factor of Numerators i.e. GCF of 4841,3463 is 1 .
LCM of Denominators means LCM of 24,935 as per the given fractions.
LCM of 24,935 is 22440 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4841,3463
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4841
List of positive integer factors of 4841 that divides 4841 without a remainder.
Factors of 3463
List of positive integer factors of 3463 that divides 3463 without a remainder.
Greatest Common Factor
We found the factors 4841,3463 . The biggest common factor number is the GCF number.
So the greatest common factor 4841,3463 is 1.
Lets's calculate LCM of 24,935
Given numbers has no common factors except 1. So, there LCM is their product i.e 22440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22440
Therefore, the GCF of Fractions 4841/24,3463/935 is 1/22440
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 24,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,935) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(24,935) x common factors =1 x 1 = 1
LCM(24,935) = ( 24 × 935 ) / 1
LCM(24,935) = 22440 / 1
LCM(24,935) = 22440
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 4841/24, 3463/935?
Answer: GCF of Numerators as per given numbers 4841/24, 3463/935 is
GCF of Numerators i.e. for 4841,3463 is 1
LCM of denominators i.e. for 24,935 is 22440.
Thus, GCF of Fractions is 1/22440.Finally, GCF of Fractions for 4841/24, 3463/935 is 1/22440.