GCF of 5283/827, 3303/7805
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5283/827, 3303/7805 i.e 9/6454735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5283/827, 3303/7805.
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 5283/827,3303/7805?
Given fractions are 5283/827,3303/7805
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 5283/827,3303/7805, numerators are 5283,3303
Denominators are 827,7805
The GCF of 5283,3303 is 9 .
LCM of 827,7805 is 6454735.
The greatest common factor of 5283/827,3303/7805 = [GCF of 5283,3303]/[LCM of 827,7805]= 9/6454735
Therefore, the GCF of 5283/827,3303/7805 is 9/6454735.
To find the highest common factor of 5283,3303, we have to find the factors of both numbers and list the highest common factor.
The factors of 5283 are 1, 3, 9, 587, 1761, 5283
The factors of 3303 are 1, 3, 9, 367, 1101, 3303
The HCF of 5283,3303 is 9.
Lets's calculate GCF of 5283,3303
| 3 | 5283, 3303 |
| 3 | 1761, 1101 |
| 587, 367 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 5283,3303 By Matching Biggest Common Factor Method
Now, list down the factors of 5283
:1,3,9,587,1761,5283
Now, list down the factors of 3303
:1,3,9,367,1101,3303
Greatest Common Factor
We found the factors 5283,3303 . The biggest common factor number is the GCF number.
So the greatest common factor 5283,3303 is 9.
Lets's calculate LCM of 827,7805
Given numbers has no common factors except 1. So, there LCM is their product i.e 6454735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/6454735
Therefore, the GCF of Fractions 5283/827,3303/7805 is 9/6454735
Least Common Multiple of 827,7805 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 827,7805 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,7805) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,7805) x common factors =1 x 1 = 1
LCM(827,7805) = ( 827 × 7805 ) / 1
LCM(827,7805) = 6454735 / 1
LCM(827,7805) = 6454735
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FAQs on GCF of Fractions of 5283/827, 3303/7805
1. What is the HCF of 5283,3303?
The HCF of 5283,3303 is 9
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 5283/827, 3303/7805?
Answer: GCF of Numerators as per given numbers 5283/827, 3303/7805 is
GCF of Numerators i.e. for 5283,3303 is 9
LCM of denominators i.e. for 827,7805 is 6454735.
Thus, GCF of Fractions is 9/6454735.Finally, GCF of Fractions for 5283/827, 3303/7805 is 9/6454735.