Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3852/962,4342/4863
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 3852,4342
Greatest Common Factor of Numerators i.e. GCF of 3852,4342 is 2 .
LCM of Denominators means LCM of 962,4863 as per the given fractions.
LCM of 962,4863 is 4678206 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3852,4342
2 | 3852, 4342 |
1926, 2171 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3852
List of positive integer factors of 3852 that divides 3852 without a remainder.
1,2,3,4,6,9,12,18,36,107,214,321,428,642,963,1284,1926,3852
Factors of 4342
List of positive integer factors of 4342 that divides 4342 without a remainder.
1,2,13,26,167,334,2171,4342
Greatest Common Factor
We found the factors 3852,4342 . The biggest common factor number is the GCF number.
So the greatest common factor 3852,4342 is 2.
Lets's calculate LCM of 962,4863
Given numbers has no common factors except 1. So, there LCM is their product i.e 4678206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4678206
Therefore, the GCF of Fractions 3852/962,4342/4863 is 2/4678206
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 962,4863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(962,4863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(962,4863) x common factors =1 x 1 = 1
LCM(962,4863) = ( 962 × 4863 ) / 1
LCM(962,4863) = 4678206 / 1
LCM(962,4863) = 4678206
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 3852/962, 4342/4863?
Answer: GCF of Numerators as per given numbers 3852/962, 4342/4863 is
GCF of Numerators i.e. for 3852,4342 is 2
LCM of denominators i.e. for 962,4863 is 4678206.
Thus, GCF of Fractions is 2/4678206.Finally, GCF of Fractions for 3852/962, 4342/4863 is 2/4678206.