Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3788/435,1811/7941
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 3788,1811
Greatest Common Factor of Numerators i.e. GCF of 3788,1811 is 1 .
LCM of Denominators means LCM of 435,7941 as per the given fractions.
LCM of 435,7941 is 1151445 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3788,1811
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3788
List of positive integer factors of 3788 that divides 3788 without a remainder.
1,2,4,947,1894,3788
Factors of 1811
List of positive integer factors of 1811 that divides 1811 without a remainder.
1,1811
Greatest Common Factor
We found the factors 3788,1811 . The biggest common factor number is the GCF number.
So the greatest common factor 3788,1811 is 1.
Lets's calculate LCM of 435,7941
3 | 435, 7941 |
145, 2647 |
∴ So the LCM of the given numbers is 3 x 145 x 2647 = 1151445
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1151445
Therefore, the GCF of Fractions 3788/435,1811/7941 is 1/1151445
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 435,7941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(435,7941) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(435,7941) x common factors =3 x 1 = 3
LCM(435,7941) = ( 435 × 7941 ) / 3
LCM(435,7941) = 3454335 / 3
LCM(435,7941) = 1151445
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 3788/435, 1811/7941?
Answer: GCF of Numerators as per given numbers 3788/435, 1811/7941 is
GCF of Numerators i.e. for 3788,1811 is 1
LCM of denominators i.e. for 435,7941 is 1151445.
Thus, GCF of Fractions is 1/1151445.Finally, GCF of Fractions for 3788/435, 1811/7941 is 1/1151445.