Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8248/250,7781/5972
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 8248,7781
Greatest Common Factor of Numerators i.e. GCF of 8248,7781 is 1 .
LCM of Denominators means LCM of 250,5972 as per the given fractions.
LCM of 250,5972 is 746500 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8248,7781
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8248
List of positive integer factors of 8248 that divides 8248 without a remainder.
1,2,4,8,1031,2062,4124,8248
Factors of 7781
List of positive integer factors of 7781 that divides 7781 without a remainder.
1,31,251,7781
Greatest Common Factor
We found the factors 8248,7781 . The biggest common factor number is the GCF number.
So the greatest common factor 8248,7781 is 1.
Lets's calculate LCM of 250,5972
2 | 250, 5972 |
125, 2986 |
∴ So the LCM of the given numbers is 2 x 125 x 2986 = 746500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/746500
Therefore, the GCF of Fractions 8248/250,7781/5972 is 1/746500
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 250,5972 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,5972) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(250,5972) x common factors =2 x 1 = 2
LCM(250,5972) = ( 250 × 5972 ) / 2
LCM(250,5972) = 1493000 / 2
LCM(250,5972) = 746500
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 8248/250, 7781/5972?
Answer: GCF of Numerators as per given numbers 8248/250, 7781/5972 is
GCF of Numerators i.e. for 8248,7781 is 1
LCM of denominators i.e. for 250,5972 is 746500.
Thus, GCF of Fractions is 1/746500.Finally, GCF of Fractions for 8248/250, 7781/5972 is 1/746500.