GCF of 5523/746, 7746/9648
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5523/746, 7746/9648 i.e 3/3598704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5523/746, 7746/9648.
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 5523/746,7746/9648?
Given fractions are 5523/746,7746/9648
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 5523/746,7746/9648, numerators are 5523,7746
Denominators are 746,9648
The GCF of 5523,7746 is 3 .
LCM of 746,9648 is 3598704.
The greatest common factor of 5523/746,7746/9648 = [GCF of 5523,7746]/[LCM of 746,9648]= 3/3598704
Therefore, the GCF of 5523/746,7746/9648 is 3/3598704.
To find the highest common factor of 5523,7746, we have to find the factors of both numbers and list the highest common factor.
The factors of 5523 are 1, 3, 7, 21, 263, 789, 1841, 5523
The factors of 7746 are 1, 2, 3, 6, 1291, 2582, 3873, 7746
The HCF of 5523,7746 is 3.
Lets's calculate GCF of 5523,7746
| 3 | 5523, 7746 |
| 1841, 2582 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5523,7746 By Matching Biggest Common Factor Method
Now, list down the factors of 5523
:1,3,7,21,263,789,1841,5523
Now, list down the factors of 7746
:1,2,3,6,1291,2582,3873,7746
Greatest Common Factor
We found the factors 5523,7746 . The biggest common factor number is the GCF number.
So the greatest common factor 5523,7746 is 3.
Lets's calculate LCM of 746,9648
| 2 | 746, 9648 |
| 373, 4824 |
∴ So the LCM of the given numbers is 2 x 373 x 4824 = 3598704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3598704
Therefore, the GCF of Fractions 5523/746,7746/9648 is 3/3598704
Least Common Multiple of 746,9648 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 746,9648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,9648) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(746,9648) x common factors =2 x 1 = 2
LCM(746,9648) = ( 746 × 9648 ) / 2
LCM(746,9648) = 7197408 / 2
LCM(746,9648) = 3598704
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FAQs on GCF of Fractions of 5523/746, 7746/9648
1. What is the HCF of 5523,7746?
The HCF of 5523,7746 is 3
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 5523/746, 7746/9648?
Answer: GCF of Numerators as per given numbers 5523/746, 7746/9648 is
GCF of Numerators i.e. for 5523,7746 is 3
LCM of denominators i.e. for 746,9648 is 3598704.
Thus, GCF of Fractions is 3/3598704.Finally, GCF of Fractions for 5523/746, 7746/9648 is 3/3598704.