Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9008/640,8125/6681
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 9008,8125
Greatest Common Factor of Numerators i.e. GCF of 9008,8125 is 1 .
LCM of Denominators means LCM of 640,6681 as per the given fractions.
LCM of 640,6681 is 4275840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9008,8125
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9008
List of positive integer factors of 9008 that divides 9008 without a remainder.
1,2,4,8,16,563,1126,2252,4504,9008
Factors of 8125
List of positive integer factors of 8125 that divides 8125 without a remainder.
1,5,13,25,65,125,325,625,1625,8125
Greatest Common Factor
We found the factors 9008,8125 . The biggest common factor number is the GCF number.
So the greatest common factor 9008,8125 is 1.
Lets's calculate LCM of 640,6681
Given numbers has no common factors except 1. So, there LCM is their product i.e 4275840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4275840
Therefore, the GCF of Fractions 9008/640,8125/6681 is 1/4275840
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 640,6681 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,6681) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(640,6681) x common factors =1 x 1 = 1
LCM(640,6681) = ( 640 × 6681 ) / 1
LCM(640,6681) = 4275840 / 1
LCM(640,6681) = 4275840
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 9008/640, 8125/6681?
Answer: GCF of Numerators as per given numbers 9008/640, 8125/6681 is
GCF of Numerators i.e. for 9008,8125 is 1
LCM of denominators i.e. for 640,6681 is 4275840.
Thus, GCF of Fractions is 1/4275840.Finally, GCF of Fractions for 9008/640, 8125/6681 is 1/4275840.