GCF of 7320/765, 8868/6678
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7320/765, 8868/6678 i.e 12/567630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7320/765, 8868/6678.
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 7320/765,8868/6678?
Given fractions are 7320/765,8868/6678
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 7320/765,8868/6678, numerators are 7320,8868
Denominators are 765,6678
The GCF of 7320,8868 is 12 .
LCM of 765,6678 is 567630.
The greatest common factor of 7320/765,8868/6678 = [GCF of 7320,8868]/[LCM of 765,6678]= 12/567630
Therefore, the GCF of 7320/765,8868/6678 is 12/567630.
To find the highest common factor of 7320,8868, 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 8868 are 1, 2, 3, 4, 6, 12, 739, 1478, 2217, 2956, 4434, 8868
The HCF of 7320,8868 is 12.
Lets's calculate GCF of 7320,8868
| 2 | 7320, 8868 |
| 2 | 3660, 4434 |
| 3 | 1830, 2217 |
| 610, 739 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 7320,8868 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 8868
:1,2,3,4,6,12,739,1478,2217,2956,4434,8868
Greatest Common Factor
We found the factors 7320,8868 . The biggest common factor number is the GCF number.
So the greatest common factor 7320,8868 is 12.
Lets's calculate LCM of 765,6678
| 3 | 765, 6678 |
| 3 | 255, 2226 |
| 85, 742 |
∴ So the LCM of the given numbers is 3 x 3 x 85 x 742 = 567630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/567630
Therefore, the GCF of Fractions 7320/765,8868/6678 is 12/567630
Least Common Multiple of 765,6678 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 765,6678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,6678) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(765,6678) x common factors =9 x 1 = 9
LCM(765,6678) = ( 765 × 6678 ) / 9
LCM(765,6678) = 5108670 / 9
LCM(765,6678) = 567630
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FAQs on GCF of Fractions of 7320/765, 8868/6678
1. What is the HCF of 7320,8868?
The HCF of 7320,8868 is 12
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 7320/765, 8868/6678?
Answer: GCF of Numerators as per given numbers 7320/765, 8868/6678 is
GCF of Numerators i.e. for 7320,8868 is 12
LCM of denominators i.e. for 765,6678 is 567630.
Thus, GCF of Fractions is 12/567630.Finally, GCF of Fractions for 7320/765, 8868/6678 is 12/567630.