Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9548/250,9925/512
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 9548,9925
Greatest Common Factor of Numerators i.e. GCF of 9548,9925 is 1 .
LCM of Denominators means LCM of 250,512 as per the given fractions.
LCM of 250,512 is 64000 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9548,9925
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9548
List of positive integer factors of 9548 that divides 9548 without a remainder.
1,2,4,7,11,14,22,28,31,44,62,77,124,154,217,308,341,434,682,868,1364,2387,4774,9548
Factors of 9925
List of positive integer factors of 9925 that divides 9925 without a remainder.
1,5,25,397,1985,9925
Greatest Common Factor
We found the factors 9548,9925 . The biggest common factor number is the GCF number.
So the greatest common factor 9548,9925 is 1.
Lets's calculate LCM of 250,512
2 | 250, 512 |
125, 256 |
∴ So the LCM of the given numbers is 2 x 125 x 256 = 64000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64000
Therefore, the GCF of Fractions 9548/250,9925/512 is 1/64000
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 250,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,512) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(250,512) x common factors =2 x 1 = 2
LCM(250,512) = ( 250 × 512 ) / 2
LCM(250,512) = 128000 / 2
LCM(250,512) = 64000
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 9548/250, 9925/512?
Answer: GCF of Numerators as per given numbers 9548/250, 9925/512 is
GCF of Numerators i.e. for 9548,9925 is 1
LCM of denominators i.e. for 250,512 is 64000.
Thus, GCF of Fractions is 1/64000.Finally, GCF of Fractions for 9548/250, 9925/512 is 1/64000.