GCF of 8799/760, 3604/5339
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8799/760, 3604/5339 i.e 1/213560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8799/760, 3604/5339.
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 8799/760,3604/5339?
Given fractions are 8799/760,3604/5339
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 8799/760,3604/5339, numerators are 8799,3604
Denominators are 760,5339
The GCF of 8799,3604 is 1 .
LCM of 760,5339 is 213560.
The greatest common factor of 8799/760,3604/5339 = [GCF of 8799,3604]/[LCM of 760,5339]= 1/213560
Therefore, the GCF of 8799/760,3604/5339 is 1/213560.
To find the highest common factor of 8799,3604, we have to find the factors of both numbers and list the highest common factor.
The factors of 8799 are 1, 3, 7, 21, 419, 1257, 2933, 8799
The factors of 3604 are 1, 2, 4, 17, 34, 53, 68, 106, 212, 901, 1802, 3604
The HCF of 8799,3604 is 1.
Lets's calculate GCF of 8799,3604
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8799,3604 By Matching Biggest Common Factor Method
Now, list down the factors of 8799
:1,3,7,21,419,1257,2933,8799
Now, list down the factors of 3604
:1,2,4,17,34,53,68,106,212,901,1802,3604
Greatest Common Factor
We found the factors 8799,3604 . The biggest common factor number is the GCF number.
So the greatest common factor 8799,3604 is 1.
Lets's calculate LCM of 760,5339
| 19 | 760, 5339 |
| 40, 281 |
∴ So the LCM of the given numbers is 19 x 40 x 281 = 213560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213560
Therefore, the GCF of Fractions 8799/760,3604/5339 is 1/213560
Least Common Multiple of 760,5339 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 760,5339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(760,5339) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(760,5339) x common factors =19 x 1 = 19
LCM(760,5339) = ( 760 × 5339 ) / 19
LCM(760,5339) = 4057640 / 19
LCM(760,5339) = 213560
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FAQs on GCF of Fractions of 8799/760, 3604/5339
1. What is the HCF of 8799,3604?
The HCF of 8799,3604 is 1
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 8799/760, 3604/5339?
Answer: GCF of Numerators as per given numbers 8799/760, 3604/5339 is
GCF of Numerators i.e. for 8799,3604 is 1
LCM of denominators i.e. for 760,5339 is 213560.
Thus, GCF of Fractions is 1/213560.Finally, GCF of Fractions for 8799/760, 3604/5339 is 1/213560.