Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7822/444,9415/1145
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 7822,9415
Greatest Common Factor of Numerators i.e. GCF of 7822,9415 is 1 .
LCM of Denominators means LCM of 444,1145 as per the given fractions.
LCM of 444,1145 is 508380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7822,9415
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7822
List of positive integer factors of 7822 that divides 7822 without a remainder.
1,2,3911,7822
Factors of 9415
List of positive integer factors of 9415 that divides 9415 without a remainder.
1,5,7,35,269,1345,1883,9415
Greatest Common Factor
We found the factors 7822,9415 . The biggest common factor number is the GCF number.
So the greatest common factor 7822,9415 is 1.
Lets's calculate LCM of 444,1145
Given numbers has no common factors except 1. So, there LCM is their product i.e 508380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/508380
Therefore, the GCF of Fractions 7822/444,9415/1145 is 1/508380
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 444,1145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(444,1145) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(444,1145) x common factors =1 x 1 = 1
LCM(444,1145) = ( 444 × 1145 ) / 1
LCM(444,1145) = 508380 / 1
LCM(444,1145) = 508380
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 7822/444, 9415/1145?
Answer: GCF of Numerators as per given numbers 7822/444, 9415/1145 is
GCF of Numerators i.e. for 7822,9415 is 1
LCM of denominators i.e. for 444,1145 is 508380.
Thus, GCF of Fractions is 1/508380.Finally, GCF of Fractions for 7822/444, 9415/1145 is 1/508380.