Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 178/271,4778/728
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 178,4778
Greatest Common Factor of Numerators i.e. GCF of 178,4778 is 2 .
LCM of Denominators means LCM of 271,728 as per the given fractions.
LCM of 271,728 is 197288 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 178,4778
2 | 178, 4778 |
89, 2389 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Factors of 4778
List of positive integer factors of 4778 that divides 4778 without a remainder.
1,2,2389,4778
Greatest Common Factor
We found the factors 178,4778 . The biggest common factor number is the GCF number.
So the greatest common factor 178,4778 is 2.
Lets's calculate LCM of 271,728
Given numbers has no common factors except 1. So, there LCM is their product i.e 197288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/197288
Therefore, the GCF of Fractions 178/271,4778/728 is 2/197288
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 271,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(271,728) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(271,728) x common factors =1 x 1 = 1
LCM(271,728) = ( 271 × 728 ) / 1
LCM(271,728) = 197288 / 1
LCM(271,728) = 197288
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 178/271, 4778/728?
Answer: GCF of Numerators as per given numbers 178/271, 4778/728 is
GCF of Numerators i.e. for 178,4778 is 2
LCM of denominators i.e. for 271,728 is 197288.
Thus, GCF of Fractions is 2/197288.Finally, GCF of Fractions for 178/271, 4778/728 is 2/197288.