Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4282/749,3847/641
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 4282,3847
Greatest Common Factor of Numerators i.e. GCF of 4282,3847 is 1 .
LCM of Denominators means LCM of 749,641 as per the given fractions.
LCM of 749,641 is 480109 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4282,3847
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4282
List of positive integer factors of 4282 that divides 4282 without a remainder.
1,2,2141,4282
Factors of 3847
List of positive integer factors of 3847 that divides 3847 without a remainder.
1,3847
Greatest Common Factor
We found the factors 4282,3847 . The biggest common factor number is the GCF number.
So the greatest common factor 4282,3847 is 1.
Lets's calculate LCM of 749,641
Given numbers has no common factors except 1. So, there LCM is their product i.e 480109
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/480109
Therefore, the GCF of Fractions 4282/749,3847/641 is 1/480109
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 749,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,641) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,641) x common factors =1 x 1 = 1
LCM(749,641) = ( 749 × 641 ) / 1
LCM(749,641) = 480109 / 1
LCM(749,641) = 480109
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 4282/749, 3847/641?
Answer: GCF of Numerators as per given numbers 4282/749, 3847/641 is
GCF of Numerators i.e. for 4282,3847 is 1
LCM of denominators i.e. for 749,641 is 480109.
Thus, GCF of Fractions is 1/480109.Finally, GCF of Fractions for 4282/749, 3847/641 is 1/480109.