Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 14/94,74/33,43/97,77/755
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 14,74,43,77
Greatest Common Factor of Numerators i.e. GCF of 14,74,43,77 is 1 .
LCM of Denominators means LCM of 94,33,97,755 as per the given fractions.
LCM of 94,33,97,755 is 227174970 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 14,74,43,77
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Greatest Common Factor
We found the factors 14,74,43,77 . The biggest common factor number is the GCF number.
So the greatest common factor 14,74,43,77 is 1.
Lets's calculate LCM of 94,33,97,755
Given numbers has no common factors except 1. So, there LCM is their product i.e 227174970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227174970
Therefore, the GCF of Fractions 14/94,74/33,43/97,77/755 is 1/227174970
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 94,33,97,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,33,97,755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(94,33,97,755) x common factors =1 x 1 = 1
LCM(94,33,97,755) = ( 94 × 33 × 97 × 755 ) / 1
LCM(94,33,97,755) = 227174970 / 1
LCM(94,33,97,755) = 227174970
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 14/94, 74/33, 43/97, 77/755?
Answer: GCF of Numerators as per given numbers 14/94, 74/33, 43/97, 77/755 is
GCF of Numerators i.e. for 14,74,43,77 is 1
LCM of denominators i.e. for 94,33,97,755 is 227174970.
Thus, GCF of Fractions is 1/227174970.Finally, GCF of Fractions for 14/94, 74/33, 43/97, 77/755 is 1/227174970.