Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3209/688,6905/652
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 3209,6905
Greatest Common Factor of Numerators i.e. GCF of 3209,6905 is 1 .
LCM of Denominators means LCM of 688,652 as per the given fractions.
LCM of 688,652 is 112144 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3209,6905
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3209
List of positive integer factors of 3209 that divides 3209 without a remainder.
1,3209
Factors of 6905
List of positive integer factors of 6905 that divides 6905 without a remainder.
1,5,1381,6905
Greatest Common Factor
We found the factors 3209,6905 . The biggest common factor number is the GCF number.
So the greatest common factor 3209,6905 is 1.
Lets's calculate LCM of 688,652
2 | 688, 652 |
2 | 344, 326 |
172, 163 |
∴ So the LCM of the given numbers is 2 x 2 x 172 x 163 = 112144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112144
Therefore, the GCF of Fractions 3209/688,6905/652 is 1/112144
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 688,652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,652) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(688,652) x common factors =4 x 1 = 4
LCM(688,652) = ( 688 × 652 ) / 4
LCM(688,652) = 448576 / 4
LCM(688,652) = 112144
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 3209/688, 6905/652?
Answer: GCF of Numerators as per given numbers 3209/688, 6905/652 is
GCF of Numerators i.e. for 3209,6905 is 1
LCM of denominators i.e. for 688,652 is 112144.
Thus, GCF of Fractions is 1/112144.Finally, GCF of Fractions for 3209/688, 6905/652 is 1/112144.