Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5257/341,7323/2101
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 5257,7323
Greatest Common Factor of Numerators i.e. GCF of 5257,7323 is 1 .
LCM of Denominators means LCM of 341,2101 as per the given fractions.
LCM of 341,2101 is 65131 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5257,7323
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5257
List of positive integer factors of 5257 that divides 5257 without a remainder.
1,7,751,5257
Factors of 7323
List of positive integer factors of 7323 that divides 7323 without a remainder.
1,3,2441,7323
Greatest Common Factor
We found the factors 5257,7323 . The biggest common factor number is the GCF number.
So the greatest common factor 5257,7323 is 1.
Lets's calculate LCM of 341,2101
11 | 341, 2101 |
31, 191 |
∴ So the LCM of the given numbers is 11 x 31 x 191 = 65131
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65131
Therefore, the GCF of Fractions 5257/341,7323/2101 is 1/65131
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 341,2101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(341,2101) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(341,2101) x common factors =11 x 1 = 11
LCM(341,2101) = ( 341 × 2101 ) / 11
LCM(341,2101) = 716441 / 11
LCM(341,2101) = 65131
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 5257/341, 7323/2101?
Answer: GCF of Numerators as per given numbers 5257/341, 7323/2101 is
GCF of Numerators i.e. for 5257,7323 is 1
LCM of denominators i.e. for 341,2101 is 65131.
Thus, GCF of Fractions is 1/65131.Finally, GCF of Fractions for 5257/341, 7323/2101 is 1/65131.