Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9031/90,8640/761
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 9031,8640
Greatest Common Factor of Numerators i.e. GCF of 9031,8640 is 1 .
LCM of Denominators means LCM of 90,761 as per the given fractions.
LCM of 90,761 is 68490 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9031,8640
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9031
List of positive integer factors of 9031 that divides 9031 without a remainder.
1,11,821,9031
Factors of 8640
List of positive integer factors of 8640 that divides 8640 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,32,36,40,45,48,54,60,64,72,80,90,96,108,120,135,144,160,180,192,216,240,270,288,320,360,432,480,540,576,720,864,960,1080,1440,1728,2160,2880,4320,8640
Greatest Common Factor
We found the factors 9031,8640 . The biggest common factor number is the GCF number.
So the greatest common factor 9031,8640 is 1.
Lets's calculate LCM of 90,761
Given numbers has no common factors except 1. So, there LCM is their product i.e 68490
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/68490
Therefore, the GCF of Fractions 9031/90,8640/761 is 1/68490
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 90,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(90,761) x common factors =1 x 1 = 1
LCM(90,761) = ( 90 × 761 ) / 1
LCM(90,761) = 68490 / 1
LCM(90,761) = 68490
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 9031/90, 8640/761?
Answer: GCF of Numerators as per given numbers 9031/90, 8640/761 is
GCF of Numerators i.e. for 9031,8640 is 1
LCM of denominators i.e. for 90,761 is 68490.
Thus, GCF of Fractions is 1/68490.Finally, GCF of Fractions for 9031/90, 8640/761 is 1/68490.