Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9449/639,9246/6853
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 9449,9246
Greatest Common Factor of Numerators i.e. GCF of 9449,9246 is 1 .
LCM of Denominators means LCM of 639,6853 as per the given fractions.
LCM of 639,6853 is 4379067 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9449,9246
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9449
List of positive integer factors of 9449 that divides 9449 without a remainder.
1,11,859,9449
Factors of 9246
List of positive integer factors of 9246 that divides 9246 without a remainder.
1,2,3,6,23,46,67,69,134,138,201,402,1541,3082,4623,9246
Greatest Common Factor
We found the factors 9449,9246 . The biggest common factor number is the GCF number.
So the greatest common factor 9449,9246 is 1.
Lets's calculate LCM of 639,6853
Given numbers has no common factors except 1. So, there LCM is their product i.e 4379067
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4379067
Therefore, the GCF of Fractions 9449/639,9246/6853 is 1/4379067
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 639,6853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,6853) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(639,6853) x common factors =1 x 1 = 1
LCM(639,6853) = ( 639 × 6853 ) / 1
LCM(639,6853) = 4379067 / 1
LCM(639,6853) = 4379067
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 9449/639, 9246/6853?
Answer: GCF of Numerators as per given numbers 9449/639, 9246/6853 is
GCF of Numerators i.e. for 9449,9246 is 1
LCM of denominators i.e. for 639,6853 is 4379067.
Thus, GCF of Fractions is 1/4379067.Finally, GCF of Fractions for 9449/639, 9246/6853 is 1/4379067.