Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 50/55,68/12,95/97,14/733
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 50,68,95,14
Greatest Common Factor of Numerators i.e. GCF of 50,68,95,14 is 1 .
LCM of Denominators means LCM of 55,12,97,733 as per the given fractions.
LCM of 55,12,97,733 is 46926660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 50,68,95,14
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Greatest Common Factor
We found the factors 50,68,95,14 . The biggest common factor number is the GCF number.
So the greatest common factor 50,68,95,14 is 1.
Lets's calculate LCM of 55,12,97,733
Given numbers has no common factors except 1. So, there LCM is their product i.e 46926660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46926660
Therefore, the GCF of Fractions 50/55,68/12,95/97,14/733 is 1/46926660
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 55,12,97,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,12,97,733) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,12,97,733) x common factors =1 x 1 = 1
LCM(55,12,97,733) = ( 55 × 12 × 97 × 733 ) / 1
LCM(55,12,97,733) = 46926660 / 1
LCM(55,12,97,733) = 46926660
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 50/55, 68/12, 95/97, 14/733?
Answer: GCF of Numerators as per given numbers 50/55, 68/12, 95/97, 14/733 is
GCF of Numerators i.e. for 50,68,95,14 is 1
LCM of denominators i.e. for 55,12,97,733 is 46926660.
Thus, GCF of Fractions is 1/46926660.Finally, GCF of Fractions for 50/55, 68/12, 95/97, 14/733 is 1/46926660.