GCF of 7755/824, 9801/5342
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7755/824, 9801/5342 i.e 33/2200904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7755/824, 9801/5342.
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 7755/824,9801/5342?
Given fractions are 7755/824,9801/5342
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 7755/824,9801/5342, numerators are 7755,9801
Denominators are 824,5342
The GCF of 7755,9801 is 33 .
LCM of 824,5342 is 2200904.
The greatest common factor of 7755/824,9801/5342 = [GCF of 7755,9801]/[LCM of 824,5342]= 33/2200904
Therefore, the GCF of 7755/824,9801/5342 is 33/2200904.
To find the highest common factor of 7755,9801, we have to find the factors of both numbers and list the highest common factor.
The factors of 7755 are 1, 3, 5, 11, 15, 33, 47, 55, 141, 165, 235, 517, 705, 1551, 2585, 7755
The factors of 9801 are 1, 3, 9, 11, 27, 33, 81, 99, 121, 297, 363, 891, 1089, 3267, 9801
The HCF of 7755,9801 is 33.
Lets's calculate GCF of 7755,9801
| 3 | 7755, 9801 |
| 11 | 2585, 3267 |
| 235, 297 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 7755,9801 By Matching Biggest Common Factor Method
Now, list down the factors of 7755
:1,3,5,11,15,33,47,55,141,165,235,517,705,1551,2585,7755
Now, list down the factors of 9801
:1,3,9,11,27,33,81,99,121,297,363,891,1089,3267,9801
Greatest Common Factor
We found the factors 7755,9801 . The biggest common factor number is the GCF number.
So the greatest common factor 7755,9801 is 33.
Lets's calculate LCM of 824,5342
| 2 | 824, 5342 |
| 412, 2671 |
∴ So the LCM of the given numbers is 2 x 412 x 2671 = 2200904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/2200904
Therefore, the GCF of Fractions 7755/824,9801/5342 is 33/2200904
Least Common Multiple of 824,5342 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 824,5342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(824,5342) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(824,5342) x common factors =2 x 1 = 2
LCM(824,5342) = ( 824 × 5342 ) / 2
LCM(824,5342) = 4401808 / 2
LCM(824,5342) = 2200904
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FAQs on GCF of Fractions of 7755/824, 9801/5342
1. What is the HCF of 7755,9801?
The HCF of 7755,9801 is 33
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 7755/824, 9801/5342?
Answer: GCF of Numerators as per given numbers 7755/824, 9801/5342 is
GCF of Numerators i.e. for 7755,9801 is 33
LCM of denominators i.e. for 824,5342 is 2200904.
Thus, GCF of Fractions is 33/2200904.Finally, GCF of Fractions for 7755/824, 9801/5342 is 33/2200904.