Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 743/70,308/171
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 743,308
Greatest Common Factor of Numerators i.e. GCF of 743,308 is 1 .
LCM of Denominators means LCM of 70,171 as per the given fractions.
LCM of 70,171 is 11970 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 743,308
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 743
List of positive integer factors of 743 that divides 743 without a remainder.
1,743
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Greatest Common Factor
We found the factors 743,308 . The biggest common factor number is the GCF number.
So the greatest common factor 743,308 is 1.
Lets's calculate LCM of 70,171
Given numbers has no common factors except 1. So, there LCM is their product i.e 11970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11970
Therefore, the GCF of Fractions 743/70,308/171 is 1/11970
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 70,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,171) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(70,171) x common factors =1 x 1 = 1
LCM(70,171) = ( 70 × 171 ) / 1
LCM(70,171) = 11970 / 1
LCM(70,171) = 11970
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 743/70, 308/171?
Answer: GCF of Numerators as per given numbers 743/70, 308/171 is
GCF of Numerators i.e. for 743,308 is 1
LCM of denominators i.e. for 70,171 is 11970.
Thus, GCF of Fractions is 1/11970.Finally, GCF of Fractions for 743/70, 308/171 is 1/11970.