Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 384/54,755/169
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 384,755
Greatest Common Factor of Numerators i.e. GCF of 384,755 is 1 .
LCM of Denominators means LCM of 54,169 as per the given fractions.
LCM of 54,169 is 9126 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 384,755
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 384
List of positive integer factors of 384 that divides 384 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Factors of 755
List of positive integer factors of 755 that divides 755 without a remainder.
1,5,151,755
Greatest Common Factor
We found the factors 384,755 . The biggest common factor number is the GCF number.
So the greatest common factor 384,755 is 1.
Lets's calculate LCM of 54,169
Given numbers has no common factors except 1. So, there LCM is their product i.e 9126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9126
Therefore, the GCF of Fractions 384/54,755/169 is 1/9126
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 54,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(54,169) x common factors =1 x 1 = 1
LCM(54,169) = ( 54 × 169 ) / 1
LCM(54,169) = 9126 / 1
LCM(54,169) = 9126
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 384/54, 755/169?
Answer: GCF of Numerators as per given numbers 384/54, 755/169 is
GCF of Numerators i.e. for 384,755 is 1
LCM of denominators i.e. for 54,169 is 9126.
Thus, GCF of Fractions is 1/9126.Finally, GCF of Fractions for 384/54, 755/169 is 1/9126.