Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8726/10,5159/321
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 8726,5159
Greatest Common Factor of Numerators i.e. GCF of 8726,5159 is 1 .
LCM of Denominators means LCM of 10,321 as per the given fractions.
LCM of 10,321 is 3210 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8726,5159
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8726
List of positive integer factors of 8726 that divides 8726 without a remainder.
1,2,4363,8726
Factors of 5159
List of positive integer factors of 5159 that divides 5159 without a remainder.
1,7,11,67,77,469,737,5159
Greatest Common Factor
We found the factors 8726,5159 . The biggest common factor number is the GCF number.
So the greatest common factor 8726,5159 is 1.
Lets's calculate LCM of 10,321
Given numbers has no common factors except 1. So, there LCM is their product i.e 3210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3210
Therefore, the GCF of Fractions 8726/10,5159/321 is 1/3210
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 10,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,321) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(10,321) x common factors =1 x 1 = 1
LCM(10,321) = ( 10 × 321 ) / 1
LCM(10,321) = 3210 / 1
LCM(10,321) = 3210
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 8726/10, 5159/321?
Answer: GCF of Numerators as per given numbers 8726/10, 5159/321 is
GCF of Numerators i.e. for 8726,5159 is 1
LCM of denominators i.e. for 10,321 is 3210.
Thus, GCF of Fractions is 1/3210.Finally, GCF of Fractions for 8726/10, 5159/321 is 1/3210.