GCF of 3315/597, 3419/9744
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3315/597, 3419/9744 i.e 13/1939056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3315/597, 3419/9744.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 3315/597,3419/9744?
Given fractions are 3315/597,3419/9744
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 3315/597,3419/9744, numerators are 3315,3419
Denominators are 597,9744
The GCF of 3315,3419 is 13 .
LCM of 597,9744 is 1939056.
The greatest common factor of 3315/597,3419/9744 = [GCF of 3315,3419]/[LCM of 597,9744]= 13/1939056
Therefore, the GCF of 3315/597,3419/9744 is 13/1939056.
To find the highest common factor of 3315,3419, we have to find the factors of both numbers and list the highest common factor.
The factors of 3315 are 1, 3, 5, 13, 15, 17, 39, 51, 65, 85, 195, 221, 255, 663, 1105, 3315
The factors of 3419 are 1, 13, 263, 3419
The HCF of 3315,3419 is 13.
Lets's calculate GCF of 3315,3419
| 13 | 3315, 3419 |
| 255, 263 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 3315,3419 By Matching Biggest Common Factor Method
Now, list down the factors of 3315
:1,3,5,13,15,17,39,51,65,85,195,221,255,663,1105,3315
Now, list down the factors of 3419
:1,13,263,3419
Greatest Common Factor
We found the factors 3315,3419 . The biggest common factor number is the GCF number.
So the greatest common factor 3315,3419 is 13.
Lets's calculate LCM of 597,9744
| 3 | 597, 9744 |
| 199, 3248 |
∴ So the LCM of the given numbers is 3 x 199 x 3248 = 1939056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1939056
Therefore, the GCF of Fractions 3315/597,3419/9744 is 13/1939056
Least Common Multiple of 597,9744 with GCF Formula
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 597,9744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(597,9744) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(597,9744) x common factors =3 x 1 = 3
LCM(597,9744) = ( 597 × 9744 ) / 3
LCM(597,9744) = 5817168 / 3
LCM(597,9744) = 1939056
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3315/597, 3419/9744
1. What is the HCF of 3315,3419?
The HCF of 3315,3419 is 13
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 3315/597, 3419/9744?
Answer: GCF of Numerators as per given numbers 3315/597, 3419/9744 is
GCF of Numerators i.e. for 3315,3419 is 13
LCM of denominators i.e. for 597,9744 is 1939056.
Thus, GCF of Fractions is 13/1939056.Finally, GCF of Fractions for 3315/597, 3419/9744 is 13/1939056.