Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7148/548,2027/757
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 7148,2027
Greatest Common Factor of Numerators i.e. GCF of 7148,2027 is 1 .
LCM of Denominators means LCM of 548,757 as per the given fractions.
LCM of 548,757 is 414836 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7148,2027
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7148
List of positive integer factors of 7148 that divides 7148 without a remainder.
1,2,4,1787,3574,7148
Factors of 2027
List of positive integer factors of 2027 that divides 2027 without a remainder.
1,2027
Greatest Common Factor
We found the factors 7148,2027 . The biggest common factor number is the GCF number.
So the greatest common factor 7148,2027 is 1.
Lets's calculate LCM of 548,757
Given numbers has no common factors except 1. So, there LCM is their product i.e 414836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/414836
Therefore, the GCF of Fractions 7148/548,2027/757 is 1/414836
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 548,757 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,757) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(548,757) x common factors =1 x 1 = 1
LCM(548,757) = ( 548 × 757 ) / 1
LCM(548,757) = 414836 / 1
LCM(548,757) = 414836
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 7148/548, 2027/757?
Answer: GCF of Numerators as per given numbers 7148/548, 2027/757 is
GCF of Numerators i.e. for 7148,2027 is 1
LCM of denominators i.e. for 548,757 is 414836.
Thus, GCF of Fractions is 1/414836.Finally, GCF of Fractions for 7148/548, 2027/757 is 1/414836.