Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5/61,97/24,54/125,181/163
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 5,97,54,181
Greatest Common Factor of Numerators i.e. GCF of 5,97,54,181 is 1 .
LCM of Denominators means LCM of 61,24,125,163 as per the given fractions.
LCM of 61,24,125,163 is 29829000 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5,97,54,181
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5
List of positive integer factors of 5 that divides 5 without a remainder.
1,5
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1,181
Greatest Common Factor
We found the factors 5,97,54,181 . The biggest common factor number is the GCF number.
So the greatest common factor 5,97,54,181 is 1.
Lets's calculate LCM of 61,24,125,163
Given numbers has no common factors except 1. So, there LCM is their product i.e 29829000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29829000
Therefore, the GCF of Fractions 5/61,97/24,54/125,181/163 is 1/29829000
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 61,24,125,163 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(61,24,125,163) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(61,24,125,163) x common factors =1 x 1 = 1
LCM(61,24,125,163) = ( 61 × 24 × 125 × 163 ) / 1
LCM(61,24,125,163) = 29829000 / 1
LCM(61,24,125,163) = 29829000
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 5/61, 97/24, 54/125, 181/163?
Answer: GCF of Numerators as per given numbers 5/61, 97/24, 54/125, 181/163 is
GCF of Numerators i.e. for 5,97,54,181 is 1
LCM of denominators i.e. for 61,24,125,163 is 29829000.
Thus, GCF of Fractions is 1/29829000.Finally, GCF of Fractions for 5/61, 97/24, 54/125, 181/163 is 1/29829000.