Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 290/512,3098/1382
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 290,3098
Greatest Common Factor of Numerators i.e. GCF of 290,3098 is 2 .
LCM of Denominators means LCM of 512,1382 as per the given fractions.
LCM of 512,1382 is 353792 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 290,3098
2 | 290, 3098 |
145, 1549 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Factors of 3098
List of positive integer factors of 3098 that divides 3098 without a remainder.
1,2,1549,3098
Greatest Common Factor
We found the factors 290,3098 . The biggest common factor number is the GCF number.
So the greatest common factor 290,3098 is 2.
Lets's calculate LCM of 512,1382
2 | 512, 1382 |
256, 691 |
∴ So the LCM of the given numbers is 2 x 256 x 691 = 353792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/353792
Therefore, the GCF of Fractions 290/512,3098/1382 is 2/353792
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 512,1382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,1382) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(512,1382) x common factors =2 x 1 = 2
LCM(512,1382) = ( 512 × 1382 ) / 2
LCM(512,1382) = 707584 / 2
LCM(512,1382) = 353792
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 290/512, 3098/1382?
Answer: GCF of Numerators as per given numbers 290/512, 3098/1382 is
GCF of Numerators i.e. for 290,3098 is 2
LCM of denominators i.e. for 512,1382 is 353792.
Thus, GCF of Fractions is 2/353792.Finally, GCF of Fractions for 290/512, 3098/1382 is 2/353792.