GCF of 9305/678, 2605/9760
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9305/678, 2605/9760 i.e 5/3308640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9305/678, 2605/9760.
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 9305/678,2605/9760?
Given fractions are 9305/678,2605/9760
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 9305/678,2605/9760, numerators are 9305,2605
Denominators are 678,9760
The GCF of 9305,2605 is 5 .
LCM of 678,9760 is 3308640.
The greatest common factor of 9305/678,2605/9760 = [GCF of 9305,2605]/[LCM of 678,9760]= 5/3308640
Therefore, the GCF of 9305/678,2605/9760 is 5/3308640.
To find the highest common factor of 9305,2605, we have to find the factors of both numbers and list the highest common factor.
The factors of 9305 are 1, 5, 1861, 9305
The factors of 2605 are 1, 5, 521, 2605
The HCF of 9305,2605 is 5.
Lets's calculate GCF of 9305,2605
| 5 | 9305, 2605 |
| 1861, 521 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9305,2605 By Matching Biggest Common Factor Method
Now, list down the factors of 9305
:1,5,1861,9305
Now, list down the factors of 2605
:1,5,521,2605
Greatest Common Factor
We found the factors 9305,2605 . The biggest common factor number is the GCF number.
So the greatest common factor 9305,2605 is 5.
Lets's calculate LCM of 678,9760
| 2 | 678, 9760 |
| 339, 4880 |
∴ So the LCM of the given numbers is 2 x 339 x 4880 = 3308640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3308640
Therefore, the GCF of Fractions 9305/678,2605/9760 is 5/3308640
Least Common Multiple of 678,9760 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 678,9760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,9760) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(678,9760) x common factors =2 x 1 = 2
LCM(678,9760) = ( 678 × 9760 ) / 2
LCM(678,9760) = 6617280 / 2
LCM(678,9760) = 3308640
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FAQs on GCF of Fractions of 9305/678, 2605/9760
1. What is the HCF of 9305,2605?
The HCF of 9305,2605 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 9305/678, 2605/9760?
Answer: GCF of Numerators as per given numbers 9305/678, 2605/9760 is
GCF of Numerators i.e. for 9305,2605 is 5
LCM of denominators i.e. for 678,9760 is 3308640.
Thus, GCF of Fractions is 5/3308640.Finally, GCF of Fractions for 9305/678, 2605/9760 is 5/3308640.