GCF of 7668/724, 4402/7309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7668/724, 4402/7309 i.e 142/5291716 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7668/724, 4402/7309.
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 7668/724,4402/7309?
Given fractions are 7668/724,4402/7309
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 7668/724,4402/7309, numerators are 7668,4402
Denominators are 724,7309
The GCF of 7668,4402 is 142 .
LCM of 724,7309 is 5291716.
The greatest common factor of 7668/724,4402/7309 = [GCF of 7668,4402]/[LCM of 724,7309]= 142/5291716
Therefore, the GCF of 7668/724,4402/7309 is 142/5291716.
To find the highest common factor of 7668,4402, we have to find the factors of both numbers and list the highest common factor.
The factors of 7668 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 71, 108, 142, 213, 284, 426, 639, 852, 1278, 1917, 2556, 3834, 7668
The factors of 4402 are 1, 2, 31, 62, 71, 142, 2201, 4402
The HCF of 7668,4402 is 142.
Lets's calculate GCF of 7668,4402
| 2 | 7668, 4402 |
| 71 | 3834, 2201 |
| 54, 31 |
∴ So the GCF of the given numbers is 2 x 71 = 142
Greatest Common Factor of 7668,4402 By Matching Biggest Common Factor Method
Now, list down the factors of 7668
:1,2,3,4,6,9,12,18,27,36,54,71,108,142,213,284,426,639,852,1278,1917,2556,3834,7668
Now, list down the factors of 4402
:1,2,31,62,71,142,2201,4402
Greatest Common Factor
We found the factors 7668,4402 . The biggest common factor number is the GCF number.
So the greatest common factor 7668,4402 is 142.
Lets's calculate LCM of 724,7309
Given numbers has no common factors except 1. So, there LCM is their product i.e 5291716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 142/5291716
Therefore, the GCF of Fractions 7668/724,4402/7309 is 142/5291716
Least Common Multiple of 724,7309 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 724,7309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,7309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(724,7309) x common factors =1 x 1 = 1
LCM(724,7309) = ( 724 × 7309 ) / 1
LCM(724,7309) = 5291716 / 1
LCM(724,7309) = 5291716
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FAQs on GCF of Fractions of 7668/724, 4402/7309
1. What is the HCF of 7668,4402?
The HCF of 7668,4402 is 142
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 7668/724, 4402/7309?
Answer: GCF of Numerators as per given numbers 7668/724, 4402/7309 is
GCF of Numerators i.e. for 7668,4402 is 142
LCM of denominators i.e. for 724,7309 is 5291716.
Thus, GCF of Fractions is 142/5291716.Finally, GCF of Fractions for 7668/724, 4402/7309 is 142/5291716.