Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3521/817,7159/1674
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 3521,7159
Greatest Common Factor of Numerators i.e. GCF of 3521,7159 is 1 .
LCM of Denominators means LCM of 817,1674 as per the given fractions.
LCM of 817,1674 is 1367658 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3521,7159
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3521
List of positive integer factors of 3521 that divides 3521 without a remainder.
1,7,503,3521
Factors of 7159
List of positive integer factors of 7159 that divides 7159 without a remainder.
1,7159
Greatest Common Factor
We found the factors 3521,7159 . The biggest common factor number is the GCF number.
So the greatest common factor 3521,7159 is 1.
Lets's calculate LCM of 817,1674
Given numbers has no common factors except 1. So, there LCM is their product i.e 1367658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1367658
Therefore, the GCF of Fractions 3521/817,7159/1674 is 1/1367658
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 817,1674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(817,1674) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(817,1674) x common factors =1 x 1 = 1
LCM(817,1674) = ( 817 × 1674 ) / 1
LCM(817,1674) = 1367658 / 1
LCM(817,1674) = 1367658
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 3521/817, 7159/1674?
Answer: GCF of Numerators as per given numbers 3521/817, 7159/1674 is
GCF of Numerators i.e. for 3521,7159 is 1
LCM of denominators i.e. for 817,1674 is 1367658.
Thus, GCF of Fractions is 1/1367658.Finally, GCF of Fractions for 3521/817, 7159/1674 is 1/1367658.