Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8257/21,1943/689
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 8257,1943
Greatest Common Factor of Numerators i.e. GCF of 8257,1943 is 1 .
LCM of Denominators means LCM of 21,689 as per the given fractions.
LCM of 21,689 is 14469 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8257,1943
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8257
List of positive integer factors of 8257 that divides 8257 without a remainder.
1,23,359,8257
Factors of 1943
List of positive integer factors of 1943 that divides 1943 without a remainder.
1,29,67,1943
Greatest Common Factor
We found the factors 8257,1943 . The biggest common factor number is the GCF number.
So the greatest common factor 8257,1943 is 1.
Lets's calculate LCM of 21,689
Given numbers has no common factors except 1. So, there LCM is their product i.e 14469
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14469
Therefore, the GCF of Fractions 8257/21,1943/689 is 1/14469
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 21,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,689) x common factors =1 x 1 = 1
LCM(21,689) = ( 21 × 689 ) / 1
LCM(21,689) = 14469 / 1
LCM(21,689) = 14469
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 8257/21, 1943/689?
Answer: GCF of Numerators as per given numbers 8257/21, 1943/689 is
GCF of Numerators i.e. for 8257,1943 is 1
LCM of denominators i.e. for 21,689 is 14469.
Thus, GCF of Fractions is 1/14469.Finally, GCF of Fractions for 8257/21, 1943/689 is 1/14469.