Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4837/542,3813/981
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 4837,3813
Greatest Common Factor of Numerators i.e. GCF of 4837,3813 is 1 .
LCM of Denominators means LCM of 542,981 as per the given fractions.
LCM of 542,981 is 531702 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4837,3813
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4837
List of positive integer factors of 4837 that divides 4837 without a remainder.
1,7,691,4837
Factors of 3813
List of positive integer factors of 3813 that divides 3813 without a remainder.
1,3,31,41,93,123,1271,3813
Greatest Common Factor
We found the factors 4837,3813 . The biggest common factor number is the GCF number.
So the greatest common factor 4837,3813 is 1.
Lets's calculate LCM of 542,981
Given numbers has no common factors except 1. So, there LCM is their product i.e 531702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/531702
Therefore, the GCF of Fractions 4837/542,3813/981 is 1/531702
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 542,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(542,981) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(542,981) x common factors =1 x 1 = 1
LCM(542,981) = ( 542 × 981 ) / 1
LCM(542,981) = 531702 / 1
LCM(542,981) = 531702
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 4837/542, 3813/981?
Answer: GCF of Numerators as per given numbers 4837/542, 3813/981 is
GCF of Numerators i.e. for 4837,3813 is 1
LCM of denominators i.e. for 542,981 is 531702.
Thus, GCF of Fractions is 1/531702.Finally, GCF of Fractions for 4837/542, 3813/981 is 1/531702.