Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 397/675,6750/6425
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 397,6750
Greatest Common Factor of Numerators i.e. GCF of 397,6750 is 1 .
LCM of Denominators means LCM of 675,6425 as per the given fractions.
LCM of 675,6425 is 173475 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 397,6750
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 397
List of positive integer factors of 397 that divides 397 without a remainder.
1,397
Factors of 6750
List of positive integer factors of 6750 that divides 6750 without a remainder.
1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,90,125,135,150,225,250,270,375,450,675,750,1125,1350,2250,3375,6750
Greatest Common Factor
We found the factors 397,6750 . The biggest common factor number is the GCF number.
So the greatest common factor 397,6750 is 1.
Lets's calculate LCM of 675,6425
5 | 675, 6425 |
5 | 135, 1285 |
27, 257 |
∴ So the LCM of the given numbers is 5 x 5 x 27 x 257 = 173475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173475
Therefore, the GCF of Fractions 397/675,6750/6425 is 1/173475
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 675,6425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,6425) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(675,6425) x common factors =25 x 1 = 25
LCM(675,6425) = ( 675 × 6425 ) / 25
LCM(675,6425) = 4336875 / 25
LCM(675,6425) = 173475
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 397/675, 6750/6425?
Answer: GCF of Numerators as per given numbers 397/675, 6750/6425 is
GCF of Numerators i.e. for 397,6750 is 1
LCM of denominators i.e. for 675,6425 is 173475.
Thus, GCF of Fractions is 1/173475.Finally, GCF of Fractions for 397/675, 6750/6425 is 1/173475.