Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 177/41,391/7804
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 177,391
Greatest Common Factor of Numerators i.e. GCF of 177,391 is 1 .
LCM of Denominators means LCM of 41,7804 as per the given fractions.
LCM of 41,7804 is 319964 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 177,391
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1,17,23,391
Greatest Common Factor
We found the factors 177,391 . The biggest common factor number is the GCF number.
So the greatest common factor 177,391 is 1.
Lets's calculate LCM of 41,7804
Given numbers has no common factors except 1. So, there LCM is their product i.e 319964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/319964
Therefore, the GCF of Fractions 177/41,391/7804 is 1/319964
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 41,7804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,7804) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,7804) x common factors =1 x 1 = 1
LCM(41,7804) = ( 41 × 7804 ) / 1
LCM(41,7804) = 319964 / 1
LCM(41,7804) = 319964
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 177/41, 391/7804?
Answer: GCF of Numerators as per given numbers 177/41, 391/7804 is
GCF of Numerators i.e. for 177,391 is 1
LCM of denominators i.e. for 41,7804 is 319964.
Thus, GCF of Fractions is 1/319964.Finally, GCF of Fractions for 177/41, 391/7804 is 1/319964.