Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1131/418,3685/508
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 1131,3685
Greatest Common Factor of Numerators i.e. GCF of 1131,3685 is 1 .
LCM of Denominators means LCM of 418,508 as per the given fractions.
LCM of 418,508 is 106172 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1131,3685
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1131
List of positive integer factors of 1131 that divides 1131 without a remainder.
1,3,13,29,39,87,377,1131
Factors of 3685
List of positive integer factors of 3685 that divides 3685 without a remainder.
1,5,11,55,67,335,737,3685
Greatest Common Factor
We found the factors 1131,3685 . The biggest common factor number is the GCF number.
So the greatest common factor 1131,3685 is 1.
Lets's calculate LCM of 418,508
2 | 418, 508 |
209, 254 |
∴ So the LCM of the given numbers is 2 x 209 x 254 = 106172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106172
Therefore, the GCF of Fractions 1131/418,3685/508 is 1/106172
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 418,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,508) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(418,508) x common factors =2 x 1 = 2
LCM(418,508) = ( 418 × 508 ) / 2
LCM(418,508) = 212344 / 2
LCM(418,508) = 106172
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 1131/418, 3685/508?
Answer: GCF of Numerators as per given numbers 1131/418, 3685/508 is
GCF of Numerators i.e. for 1131,3685 is 1
LCM of denominators i.e. for 418,508 is 106172.
Thus, GCF of Fractions is 1/106172.Finally, GCF of Fractions for 1131/418, 3685/508 is 1/106172.