Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 77/395,176/307
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 77,176
Greatest Common Factor of Numerators i.e. GCF of 77,176 is 11 .
LCM of Denominators means LCM of 395,307 as per the given fractions.
LCM of 395,307 is 121265 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 77,176
11 | 77, 176 |
7, 16 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Greatest Common Factor
We found the factors 77,176 . The biggest common factor number is the GCF number.
So the greatest common factor 77,176 is 11.
Lets's calculate LCM of 395,307
Given numbers has no common factors except 1. So, there LCM is their product i.e 121265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/121265
Therefore, the GCF of Fractions 77/395,176/307 is 11/121265
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 395,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(395,307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(395,307) x common factors =1 x 1 = 1
LCM(395,307) = ( 395 × 307 ) / 1
LCM(395,307) = 121265 / 1
LCM(395,307) = 121265
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 77/395, 176/307?
Answer: GCF of Numerators as per given numbers 77/395, 176/307 is
GCF of Numerators i.e. for 77,176 is 11
LCM of denominators i.e. for 395,307 is 121265.
Thus, GCF of Fractions is 11/121265.Finally, GCF of Fractions for 77/395, 176/307 is 11/121265.