Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 56/41,74/96,177/53
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 56,74,177
Greatest Common Factor of Numerators i.e. GCF of 56,74,177 is 1 .
LCM of Denominators means LCM of 41,96,53 as per the given fractions.
LCM of 41,96,53 is 208608 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 56,74,177
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Greatest Common Factor
We found the factors 56,74,177 . The biggest common factor number is the GCF number.
So the greatest common factor 56,74,177 is 1.
Lets's calculate LCM of 41,96,53
Given numbers has no common factors except 1. So, there LCM is their product i.e 208608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/208608
Therefore, the GCF of Fractions 56/41,74/96,177/53 is 1/208608
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 41,96,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,96,53) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,96,53) x common factors =1 x 1 = 1
LCM(41,96,53) = ( 41 × 96 × 53 ) / 1
LCM(41,96,53) = 208608 / 1
LCM(41,96,53) = 208608
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 56/41, 74/96, 177/53?
Answer: GCF of Numerators as per given numbers 56/41, 74/96, 177/53 is
GCF of Numerators i.e. for 56,74,177 is 1
LCM of denominators i.e. for 41,96,53 is 208608.
Thus, GCF of Fractions is 1/208608.Finally, GCF of Fractions for 56/41, 74/96, 177/53 is 1/208608.