Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4548/71,7195/428
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 4548,7195
Greatest Common Factor of Numerators i.e. GCF of 4548,7195 is 1 .
LCM of Denominators means LCM of 71,428 as per the given fractions.
LCM of 71,428 is 30388 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4548,7195
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4548
List of positive integer factors of 4548 that divides 4548 without a remainder.
1,2,3,4,6,12,379,758,1137,1516,2274,4548
Factors of 7195
List of positive integer factors of 7195 that divides 7195 without a remainder.
1,5,1439,7195
Greatest Common Factor
We found the factors 4548,7195 . The biggest common factor number is the GCF number.
So the greatest common factor 4548,7195 is 1.
Lets's calculate LCM of 71,428
Given numbers has no common factors except 1. So, there LCM is their product i.e 30388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30388
Therefore, the GCF of Fractions 4548/71,7195/428 is 1/30388
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 71,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,428) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,428) x common factors =1 x 1 = 1
LCM(71,428) = ( 71 × 428 ) / 1
LCM(71,428) = 30388 / 1
LCM(71,428) = 30388
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 4548/71, 7195/428?
Answer: GCF of Numerators as per given numbers 4548/71, 7195/428 is
GCF of Numerators i.e. for 4548,7195 is 1
LCM of denominators i.e. for 71,428 is 30388.
Thus, GCF of Fractions is 1/30388.Finally, GCF of Fractions for 4548/71, 7195/428 is 1/30388.