Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 441/958,6388/9633
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 441,6388
Greatest Common Factor of Numerators i.e. GCF of 441,6388 is 1 .
LCM of Denominators means LCM of 958,9633 as per the given fractions.
LCM of 958,9633 is 9228414 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 441,6388
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 441
List of positive integer factors of 441 that divides 441 without a remainder.
1,3,7,9,21,49,63,147,441
Factors of 6388
List of positive integer factors of 6388 that divides 6388 without a remainder.
1,2,4,1597,3194,6388
Greatest Common Factor
We found the factors 441,6388 . The biggest common factor number is the GCF number.
So the greatest common factor 441,6388 is 1.
Lets's calculate LCM of 958,9633
Given numbers has no common factors except 1. So, there LCM is their product i.e 9228414
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9228414
Therefore, the GCF of Fractions 441/958,6388/9633 is 1/9228414
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 958,9633 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(958,9633) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(958,9633) x common factors =1 x 1 = 1
LCM(958,9633) = ( 958 × 9633 ) / 1
LCM(958,9633) = 9228414 / 1
LCM(958,9633) = 9228414
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 441/958, 6388/9633?
Answer: GCF of Numerators as per given numbers 441/958, 6388/9633 is
GCF of Numerators i.e. for 441,6388 is 1
LCM of denominators i.e. for 958,9633 is 9228414.
Thus, GCF of Fractions is 1/9228414.Finally, GCF of Fractions for 441/958, 6388/9633 is 1/9228414.