Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3488/446,8167/293
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 3488,8167
Greatest Common Factor of Numerators i.e. GCF of 3488,8167 is 1 .
LCM of Denominators means LCM of 446,293 as per the given fractions.
LCM of 446,293 is 130678 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3488,8167
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3488
List of positive integer factors of 3488 that divides 3488 without a remainder.
1,2,4,8,16,32,109,218,436,872,1744,3488
Factors of 8167
List of positive integer factors of 8167 that divides 8167 without a remainder.
1,8167
Greatest Common Factor
We found the factors 3488,8167 . The biggest common factor number is the GCF number.
So the greatest common factor 3488,8167 is 1.
Lets's calculate LCM of 446,293
Given numbers has no common factors except 1. So, there LCM is their product i.e 130678
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/130678
Therefore, the GCF of Fractions 3488/446,8167/293 is 1/130678
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 446,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(446,293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(446,293) x common factors =1 x 1 = 1
LCM(446,293) = ( 446 × 293 ) / 1
LCM(446,293) = 130678 / 1
LCM(446,293) = 130678
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 3488/446, 8167/293?
Answer: GCF of Numerators as per given numbers 3488/446, 8167/293 is
GCF of Numerators i.e. for 3488,8167 is 1
LCM of denominators i.e. for 446,293 is 130678.
Thus, GCF of Fractions is 1/130678.Finally, GCF of Fractions for 3488/446, 8167/293 is 1/130678.