Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1756/298,3959/338
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 1756,3959
Greatest Common Factor of Numerators i.e. GCF of 1756,3959 is 1 .
LCM of Denominators means LCM of 298,338 as per the given fractions.
LCM of 298,338 is 50362 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1756,3959
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1756
List of positive integer factors of 1756 that divides 1756 without a remainder.
1,2,4,439,878,1756
Factors of 3959
List of positive integer factors of 3959 that divides 3959 without a remainder.
1,37,107,3959
Greatest Common Factor
We found the factors 1756,3959 . The biggest common factor number is the GCF number.
So the greatest common factor 1756,3959 is 1.
Lets's calculate LCM of 298,338
2 | 298, 338 |
149, 169 |
∴ So the LCM of the given numbers is 2 x 149 x 169 = 50362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50362
Therefore, the GCF of Fractions 1756/298,3959/338 is 1/50362
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 298,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(298,338) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(298,338) x common factors =2 x 1 = 2
LCM(298,338) = ( 298 × 338 ) / 2
LCM(298,338) = 100724 / 2
LCM(298,338) = 50362
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 1756/298, 3959/338?
Answer: GCF of Numerators as per given numbers 1756/298, 3959/338 is
GCF of Numerators i.e. for 1756,3959 is 1
LCM of denominators i.e. for 298,338 is 50362.
Thus, GCF of Fractions is 1/50362.Finally, GCF of Fractions for 1756/298, 3959/338 is 1/50362.