GCF of 9611/135, 6510/4107
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9611/135, 6510/4107 i.e 7/184815 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9611/135, 6510/4107.
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 9611/135,6510/4107?
Given fractions are 9611/135,6510/4107
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 9611/135,6510/4107, numerators are 9611,6510
Denominators are 135,4107
The GCF of 9611,6510 is 7 .
LCM of 135,4107 is 184815.
The greatest common factor of 9611/135,6510/4107 = [GCF of 9611,6510]/[LCM of 135,4107]= 7/184815
Therefore, the GCF of 9611/135,6510/4107 is 7/184815.
To find the highest common factor of 9611,6510, we have to find the factors of both numbers and list the highest common factor.
The factors of 9611 are 1, 7, 1373, 9611
The factors of 6510 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 31, 35, 42, 62, 70, 93, 105, 155, 186, 210, 217, 310, 434, 465, 651, 930, 1085, 1302, 2170, 3255, 6510
The HCF of 9611,6510 is 7.
Lets's calculate GCF of 9611,6510
| 7 | 9611, 6510 |
| 1373, 930 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9611,6510 By Matching Biggest Common Factor Method
Now, list down the factors of 9611
:1,7,1373,9611
Now, list down the factors of 6510
:1,2,3,5,6,7,10,14,15,21,30,31,35,42,62,70,93,105,155,186,210,217,310,434,465,651,930,1085,1302,2170,3255,6510
Greatest Common Factor
We found the factors 9611,6510 . The biggest common factor number is the GCF number.
So the greatest common factor 9611,6510 is 7.
Lets's calculate LCM of 135,4107
| 3 | 135, 4107 |
| 45, 1369 |
∴ So the LCM of the given numbers is 3 x 45 x 1369 = 184815
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/184815
Therefore, the GCF of Fractions 9611/135,6510/4107 is 7/184815
Least Common Multiple of 135,4107 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 135,4107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,4107) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(135,4107) x common factors =3 x 1 = 3
LCM(135,4107) = ( 135 × 4107 ) / 3
LCM(135,4107) = 554445 / 3
LCM(135,4107) = 184815
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FAQs on GCF of Fractions of 9611/135, 6510/4107
1. What is the HCF of 9611,6510?
The HCF of 9611,6510 is 7
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 9611/135, 6510/4107?
Answer: GCF of Numerators as per given numbers 9611/135, 6510/4107 is
GCF of Numerators i.e. for 9611,6510 is 7
LCM of denominators i.e. for 135,4107 is 184815.
Thus, GCF of Fractions is 7/184815.Finally, GCF of Fractions for 9611/135, 6510/4107 is 7/184815.