GCF of 9795/897, 5655/3434
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9795/897, 5655/3434 i.e 15/3080298 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9795/897, 5655/3434.
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 9795/897,5655/3434?
Given fractions are 9795/897,5655/3434
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 9795/897,5655/3434, numerators are 9795,5655
Denominators are 897,3434
The GCF of 9795,5655 is 15 .
LCM of 897,3434 is 3080298.
The greatest common factor of 9795/897,5655/3434 = [GCF of 9795,5655]/[LCM of 897,3434]= 15/3080298
Therefore, the GCF of 9795/897,5655/3434 is 15/3080298.
To find the highest common factor of 9795,5655, we have to find the factors of both numbers and list the highest common factor.
The factors of 9795 are 1, 3, 5, 15, 653, 1959, 3265, 9795
The factors of 5655 are 1, 3, 5, 13, 15, 29, 39, 65, 87, 145, 195, 377, 435, 1131, 1885, 5655
The HCF of 9795,5655 is 15.
Lets's calculate GCF of 9795,5655
| 3 | 9795, 5655 |
| 5 | 3265, 1885 |
| 653, 377 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 9795,5655 By Matching Biggest Common Factor Method
Now, list down the factors of 9795
:1,3,5,15,653,1959,3265,9795
Now, list down the factors of 5655
:1,3,5,13,15,29,39,65,87,145,195,377,435,1131,1885,5655
Greatest Common Factor
We found the factors 9795,5655 . The biggest common factor number is the GCF number.
So the greatest common factor 9795,5655 is 15.
Lets's calculate LCM of 897,3434
Given numbers has no common factors except 1. So, there LCM is their product i.e 3080298
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/3080298
Therefore, the GCF of Fractions 9795/897,5655/3434 is 15/3080298
Least Common Multiple of 897,3434 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 897,3434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(897,3434) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(897,3434) x common factors =1 x 1 = 1
LCM(897,3434) = ( 897 × 3434 ) / 1
LCM(897,3434) = 3080298 / 1
LCM(897,3434) = 3080298
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FAQs on GCF of Fractions of 9795/897, 5655/3434
1. What is the HCF of 9795,5655?
The HCF of 9795,5655 is 15
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 9795/897, 5655/3434?
Answer: GCF of Numerators as per given numbers 9795/897, 5655/3434 is
GCF of Numerators i.e. for 9795,5655 is 15
LCM of denominators i.e. for 897,3434 is 3080298.
Thus, GCF of Fractions is 15/3080298.Finally, GCF of Fractions for 9795/897, 5655/3434 is 15/3080298.