Use our free GCF of Fractions Calculator tool to compute the GCF of 268/845, 609/690 i.e 1/116610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 268/845, 609/690.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 268/845,609/690
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 268/845,609/690, numerators are 268,609
Denominators are 845,690
The GCF of 268,609 is 1 .
LCM of 845,690 is 116610.
The greatest common factor of 268/845,609/690 = [GCF of 268,609]/[LCM of 845,690]= 1/116610
Therefore, the GCF of 268/845,609/690 is 1/116610.
To find the highest common factor of 268,609, we have to find the factors of both numbers and list the highest common factor.
The factors of 268 are 1, 2, 4, 67, 134, 268
The factors of 609 are 1, 3, 7, 21, 29, 87, 203, 609
The HCF of 268,609 is 1.
Lets's calculate GCF of 268,609
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 268
:1,2,4,67,134,268
Now, list down the factors of 609
:1,3,7,21,29,87,203,609
Greatest Common Factor
We found the factors 268,609 . The biggest common factor number is the GCF number.
So the greatest common factor 268,609 is 1.
Lets's calculate LCM of 845,690
5 | 845, 690 |
169, 138 |
∴ So the LCM of the given numbers is 5 x 169 x 138 = 116610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116610
Therefore, the GCF of Fractions 268/845,609/690 is 1/116610
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 845,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(845,690) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(845,690) x common factors =5 x 1 = 5
LCM(845,690) = ( 845 × 690 ) / 5
LCM(845,690) = 583050 / 5
LCM(845,690) = 116610
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 268,609?
The HCF of 268,609 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 268/845, 609/690?
Answer: GCF of Numerators as per given numbers 268/845, 609/690 is
GCF of Numerators i.e. for 268,609 is 1
LCM of denominators i.e. for 845,690 is 116610.
Thus, GCF of Fractions is 1/116610.Finally, GCF of Fractions for 268/845, 609/690 is 1/116610.