GCF of 7344/320, 3582/905
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7344/320, 3582/905 i.e 18/57920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7344/320, 3582/905.
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 7344/320,3582/905?
Given fractions are 7344/320,3582/905
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 7344/320,3582/905, numerators are 7344,3582
Denominators are 320,905
The GCF of 7344,3582 is 18 .
LCM of 320,905 is 57920.
The greatest common factor of 7344/320,3582/905 = [GCF of 7344,3582]/[LCM of 320,905]= 18/57920
Therefore, the GCF of 7344/320,3582/905 is 18/57920.
To find the highest common factor of 7344,3582, we have to find the factors of both numbers and list the highest common factor.
The factors of 7344 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 27, 34, 36, 48, 51, 54, 68, 72, 102, 108, 136, 144, 153, 204, 216, 272, 306, 408, 432, 459, 612, 816, 918, 1224, 1836, 2448, 3672, 7344
The factors of 3582 are 1, 2, 3, 6, 9, 18, 199, 398, 597, 1194, 1791, 3582
The HCF of 7344,3582 is 18.
Lets's calculate GCF of 7344,3582
| 2 | 7344, 3582 |
| 3 | 3672, 1791 |
| 3 | 1224, 597 |
| 408, 199 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 7344,3582 By Matching Biggest Common Factor Method
Now, list down the factors of 7344
:1,2,3,4,6,8,9,12,16,17,18,24,27,34,36,48,51,54,68,72,102,108,136,144,153,204,216,272,306,408,432,459,612,816,918,1224,1836,2448,3672,7344
Now, list down the factors of 3582
:1,2,3,6,9,18,199,398,597,1194,1791,3582
Greatest Common Factor
We found the factors 7344,3582 . The biggest common factor number is the GCF number.
So the greatest common factor 7344,3582 is 18.
Lets's calculate LCM of 320,905
| 5 | 320, 905 |
| 64, 181 |
∴ So the LCM of the given numbers is 5 x 64 x 181 = 57920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/57920
Therefore, the GCF of Fractions 7344/320,3582/905 is 18/57920
Least Common Multiple of 320,905 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 320,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,905) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(320,905) x common factors =5 x 1 = 5
LCM(320,905) = ( 320 × 905 ) / 5
LCM(320,905) = 289600 / 5
LCM(320,905) = 57920
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7344/320, 3582/905
1. What is the HCF of 7344,3582?
The HCF of 7344,3582 is 18
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 7344/320, 3582/905?
Answer: GCF of Numerators as per given numbers 7344/320, 3582/905 is
GCF of Numerators i.e. for 7344,3582 is 18
LCM of denominators i.e. for 320,905 is 57920.
Thus, GCF of Fractions is 18/57920.Finally, GCF of Fractions for 7344/320, 3582/905 is 18/57920.