GCF of 1155/290, 5685/9668
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1155/290, 5685/9668 i.e 15/1401860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1155/290, 5685/9668.
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 1155/290,5685/9668?
Given fractions are 1155/290,5685/9668
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 1155/290,5685/9668, numerators are 1155,5685
Denominators are 290,9668
The GCF of 1155,5685 is 15 .
LCM of 290,9668 is 1401860.
The greatest common factor of 1155/290,5685/9668 = [GCF of 1155,5685]/[LCM of 290,9668]= 15/1401860
Therefore, the GCF of 1155/290,5685/9668 is 15/1401860.
To find the highest common factor of 1155,5685, we have to find the factors of both numbers and list the highest common factor.
The factors of 1155 are 1, 3, 5, 7, 11, 15, 21, 33, 35, 55, 77, 105, 165, 231, 385, 1155
The factors of 5685 are 1, 3, 5, 15, 379, 1137, 1895, 5685
The HCF of 1155,5685 is 15.
Lets's calculate GCF of 1155,5685
| 3 | 1155, 5685 |
| 5 | 385, 1895 |
| 77, 379 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 1155,5685 By Matching Biggest Common Factor Method
Now, list down the factors of 1155
:1,3,5,7,11,15,21,33,35,55,77,105,165,231,385,1155
Now, list down the factors of 5685
:1,3,5,15,379,1137,1895,5685
Greatest Common Factor
We found the factors 1155,5685 . The biggest common factor number is the GCF number.
So the greatest common factor 1155,5685 is 15.
Lets's calculate LCM of 290,9668
| 2 | 290, 9668 |
| 145, 4834 |
∴ So the LCM of the given numbers is 2 x 145 x 4834 = 1401860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/1401860
Therefore, the GCF of Fractions 1155/290,5685/9668 is 15/1401860
Least Common Multiple of 290,9668 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 290,9668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,9668) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(290,9668) x common factors =2 x 1 = 2
LCM(290,9668) = ( 290 × 9668 ) / 2
LCM(290,9668) = 2803720 / 2
LCM(290,9668) = 1401860
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FAQs on GCF of Fractions of 1155/290, 5685/9668
1. What is the HCF of 1155,5685?
The HCF of 1155,5685 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 1155/290, 5685/9668?
Answer: GCF of Numerators as per given numbers 1155/290, 5685/9668 is
GCF of Numerators i.e. for 1155,5685 is 15
LCM of denominators i.e. for 290,9668 is 1401860.
Thus, GCF of Fractions is 15/1401860.Finally, GCF of Fractions for 1155/290, 5685/9668 is 15/1401860.