GCF of 7160/260, 9835/5460
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7160/260, 9835/5460 i.e 5/5460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7160/260, 9835/5460.
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 7160/260,9835/5460?
Given fractions are 7160/260,9835/5460
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 7160/260,9835/5460, numerators are 7160,9835
Denominators are 260,5460
The GCF of 7160,9835 is 5 .
LCM of 260,5460 is 5460.
The greatest common factor of 7160/260,9835/5460 = [GCF of 7160,9835]/[LCM of 260,5460]= 5/5460
Therefore, the GCF of 7160/260,9835/5460 is 5/5460.
To find the highest common factor of 7160,9835, we have to find the factors of both numbers and list the highest common factor.
The factors of 7160 are 1, 2, 4, 5, 8, 10, 20, 40, 179, 358, 716, 895, 1432, 1790, 3580, 7160
The factors of 9835 are 1, 5, 7, 35, 281, 1405, 1967, 9835
The HCF of 7160,9835 is 5.
Lets's calculate GCF of 7160,9835
| 5 | 7160, 9835 |
| 1432, 1967 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7160,9835 By Matching Biggest Common Factor Method
Now, list down the factors of 7160
:1,2,4,5,8,10,20,40,179,358,716,895,1432,1790,3580,7160
Now, list down the factors of 9835
:1,5,7,35,281,1405,1967,9835
Greatest Common Factor
We found the factors 7160,9835 . The biggest common factor number is the GCF number.
So the greatest common factor 7160,9835 is 5.
Lets's calculate LCM of 260,5460
| 2 | 260, 5460 |
| 2 | 130, 2730 |
| 5 | 65, 1365 |
| 13 | 13, 273 |
| 1, 21 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 13 x 1 x 21 = 5460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/5460
Therefore, the GCF of Fractions 7160/260,9835/5460 is 5/5460
Least Common Multiple of 260,5460 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 260,5460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,5460) = 260
common factors(in case of two or more numbers have common factors) = 1
GCF(260,5460) x common factors =260 x 1 = 260
LCM(260,5460) = ( 260 × 5460 ) / 260
LCM(260,5460) = 1419600 / 260
LCM(260,5460) = 5460
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FAQs on GCF of Fractions of 7160/260, 9835/5460
1. What is the HCF of 7160,9835?
The HCF of 7160,9835 is 5
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 7160/260, 9835/5460?
Answer: GCF of Numerators as per given numbers 7160/260, 9835/5460 is
GCF of Numerators i.e. for 7160,9835 is 5
LCM of denominators i.e. for 260,5460 is 5460.
Thus, GCF of Fractions is 5/5460.Finally, GCF of Fractions for 7160/260, 9835/5460 is 5/5460.