Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4231/705,5344/6678
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 4231,5344
Greatest Common Factor of Numerators i.e. GCF of 4231,5344 is 1 .
LCM of Denominators means LCM of 705,6678 as per the given fractions.
LCM of 705,6678 is 1569330 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4231,5344
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4231
List of positive integer factors of 4231 that divides 4231 without a remainder.
1,4231
Factors of 5344
List of positive integer factors of 5344 that divides 5344 without a remainder.
1,2,4,8,16,32,167,334,668,1336,2672,5344
Greatest Common Factor
We found the factors 4231,5344 . The biggest common factor number is the GCF number.
So the greatest common factor 4231,5344 is 1.
Lets's calculate LCM of 705,6678
3 | 705, 6678 |
235, 2226 |
∴ So the LCM of the given numbers is 3 x 235 x 2226 = 1569330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1569330
Therefore, the GCF of Fractions 4231/705,5344/6678 is 1/1569330
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 705,6678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(705,6678) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(705,6678) x common factors =3 x 1 = 3
LCM(705,6678) = ( 705 × 6678 ) / 3
LCM(705,6678) = 4707990 / 3
LCM(705,6678) = 1569330
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 4231/705, 5344/6678?
Answer: GCF of Numerators as per given numbers 4231/705, 5344/6678 is
GCF of Numerators i.e. for 4231,5344 is 1
LCM of denominators i.e. for 705,6678 is 1569330.
Thus, GCF of Fractions is 1/1569330.Finally, GCF of Fractions for 4231/705, 5344/6678 is 1/1569330.