GCF of 8075/727, 7344/368
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8075/727, 7344/368 i.e 17/267536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8075/727, 7344/368.
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 8075/727,7344/368?
Given fractions are 8075/727,7344/368
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 8075/727,7344/368, numerators are 8075,7344
Denominators are 727,368
The GCF of 8075,7344 is 17 .
LCM of 727,368 is 267536.
The greatest common factor of 8075/727,7344/368 = [GCF of 8075,7344]/[LCM of 727,368]= 17/267536
Therefore, the GCF of 8075/727,7344/368 is 17/267536.
To find the highest common factor of 8075,7344, we have to find the factors of both numbers and list the highest common factor.
The factors of 8075 are 1, 5, 17, 19, 25, 85, 95, 323, 425, 475, 1615, 8075
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 HCF of 8075,7344 is 17.
Lets's calculate GCF of 8075,7344
| 17 | 8075, 7344 |
| 475, 432 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 8075,7344 By Matching Biggest Common Factor Method
Now, list down the factors of 8075
:1,5,17,19,25,85,95,323,425,475,1615,8075
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
Greatest Common Factor
We found the factors 8075,7344 . The biggest common factor number is the GCF number.
So the greatest common factor 8075,7344 is 17.
Lets's calculate LCM of 727,368
Given numbers has no common factors except 1. So, there LCM is their product i.e 267536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/267536
Therefore, the GCF of Fractions 8075/727,7344/368 is 17/267536
Least Common Multiple of 727,368 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 727,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(727,368) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(727,368) x common factors =1 x 1 = 1
LCM(727,368) = ( 727 × 368 ) / 1
LCM(727,368) = 267536 / 1
LCM(727,368) = 267536
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FAQs on GCF of Fractions of 8075/727, 7344/368
1. What is the HCF of 8075,7344?
The HCF of 8075,7344 is 17
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 8075/727, 7344/368?
Answer: GCF of Numerators as per given numbers 8075/727, 7344/368 is
GCF of Numerators i.e. for 8075,7344 is 17
LCM of denominators i.e. for 727,368 is 267536.
Thus, GCF of Fractions is 17/267536.Finally, GCF of Fractions for 8075/727, 7344/368 is 17/267536.