Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 49/20,76/83,161/411
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 49,76,161
Greatest Common Factor of Numerators i.e. GCF of 49,76,161 is 1 .
LCM of Denominators means LCM of 20,83,411 as per the given fractions.
LCM of 20,83,411 is 682260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 49,76,161
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 161
List of positive integer factors of 161 that divides 161 without a remainder.
1,7,23,161
Greatest Common Factor
We found the factors 49,76,161 . The biggest common factor number is the GCF number.
So the greatest common factor 49,76,161 is 1.
Lets's calculate LCM of 20,83,411
Given numbers has no common factors except 1. So, there LCM is their product i.e 682260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/682260
Therefore, the GCF of Fractions 49/20,76/83,161/411 is 1/682260
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 20,83,411 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,83,411) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(20,83,411) x common factors =1 x 1 = 1
LCM(20,83,411) = ( 20 × 83 × 411 ) / 1
LCM(20,83,411) = 682260 / 1
LCM(20,83,411) = 682260
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 49/20, 76/83, 161/411?
Answer: GCF of Numerators as per given numbers 49/20, 76/83, 161/411 is
GCF of Numerators i.e. for 49,76,161 is 1
LCM of denominators i.e. for 20,83,411 is 682260.
Thus, GCF of Fractions is 1/682260.Finally, GCF of Fractions for 49/20, 76/83, 161/411 is 1/682260.