Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4957/13,6889/886
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 4957,6889
Greatest Common Factor of Numerators i.e. GCF of 4957,6889 is 1 .
LCM of Denominators means LCM of 13,886 as per the given fractions.
LCM of 13,886 is 11518 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4957,6889
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4957
List of positive integer factors of 4957 that divides 4957 without a remainder.
1,4957
Factors of 6889
List of positive integer factors of 6889 that divides 6889 without a remainder.
1,83,6889
Greatest Common Factor
We found the factors 4957,6889 . The biggest common factor number is the GCF number.
So the greatest common factor 4957,6889 is 1.
Lets's calculate LCM of 13,886
Given numbers has no common factors except 1. So, there LCM is their product i.e 11518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11518
Therefore, the GCF of Fractions 4957/13,6889/886 is 1/11518
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 13,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,886) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,886) x common factors =1 x 1 = 1
LCM(13,886) = ( 13 × 886 ) / 1
LCM(13,886) = 11518 / 1
LCM(13,886) = 11518
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 4957/13, 6889/886?
Answer: GCF of Numerators as per given numbers 4957/13, 6889/886 is
GCF of Numerators i.e. for 4957,6889 is 1
LCM of denominators i.e. for 13,886 is 11518.
Thus, GCF of Fractions is 1/11518.Finally, GCF of Fractions for 4957/13, 6889/886 is 1/11518.