GCF of 7320/290, 7005/893
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7320/290, 7005/893 i.e 15/258970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7320/290, 7005/893.
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 7320/290,7005/893?
Given fractions are 7320/290,7005/893
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 7320/290,7005/893, numerators are 7320,7005
Denominators are 290,893
The GCF of 7320,7005 is 15 .
LCM of 290,893 is 258970.
The greatest common factor of 7320/290,7005/893 = [GCF of 7320,7005]/[LCM of 290,893]= 15/258970
Therefore, the GCF of 7320/290,7005/893 is 15/258970.
To find the highest common factor of 7320,7005, we have to find the factors of both numbers and list the highest common factor.
The factors of 7320 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 61, 120, 122, 183, 244, 305, 366, 488, 610, 732, 915, 1220, 1464, 1830, 2440, 3660, 7320
The factors of 7005 are 1, 3, 5, 15, 467, 1401, 2335, 7005
The HCF of 7320,7005 is 15.
Lets's calculate GCF of 7320,7005
| 3 | 7320, 7005 |
| 5 | 2440, 2335 |
| 488, 467 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 7320,7005 By Matching Biggest Common Factor Method
Now, list down the factors of 7320
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,61,120,122,183,244,305,366,488,610,732,915,1220,1464,1830,2440,3660,7320
Now, list down the factors of 7005
:1,3,5,15,467,1401,2335,7005
Greatest Common Factor
We found the factors 7320,7005 . The biggest common factor number is the GCF number.
So the greatest common factor 7320,7005 is 15.
Lets's calculate LCM of 290,893
Given numbers has no common factors except 1. So, there LCM is their product i.e 258970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/258970
Therefore, the GCF of Fractions 7320/290,7005/893 is 15/258970
Least Common Multiple of 290,893 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 290,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(290,893) x common factors =1 x 1 = 1
LCM(290,893) = ( 290 × 893 ) / 1
LCM(290,893) = 258970 / 1
LCM(290,893) = 258970
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FAQs on GCF of Fractions of 7320/290, 7005/893
1. What is the HCF of 7320,7005?
The HCF of 7320,7005 is 15
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 7320/290, 7005/893?
Answer: GCF of Numerators as per given numbers 7320/290, 7005/893 is
GCF of Numerators i.e. for 7320,7005 is 15
LCM of denominators i.e. for 290,893 is 258970.
Thus, GCF of Fractions is 15/258970.Finally, GCF of Fractions for 7320/290, 7005/893 is 15/258970.