GCF of 68/580, 7305/9798
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 68/580, 7305/9798 i.e 1/2841420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 68/580, 7305/9798.
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 68/580,7305/9798?
Given fractions are 68/580,7305/9798
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 68/580,7305/9798, numerators are 68,7305
Denominators are 580,9798
The GCF of 68,7305 is 1 .
LCM of 580,9798 is 2841420.
The greatest common factor of 68/580,7305/9798 = [GCF of 68,7305]/[LCM of 580,9798]= 1/2841420
Therefore, the GCF of 68/580,7305/9798 is 1/2841420.
To find the highest common factor of 68,7305, we have to find the factors of both numbers and list the highest common factor.
The factors of 68 are 1, 2, 4, 17, 34, 68
The factors of 7305 are 1, 3, 5, 15, 487, 1461, 2435, 7305
The HCF of 68,7305 is 1.
Lets's calculate GCF of 68,7305
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 68,7305 By Matching Biggest Common Factor Method
Now, list down the factors of 68
:1,2,4,17,34,68
Now, list down the factors of 7305
:1,3,5,15,487,1461,2435,7305
Greatest Common Factor
We found the factors 68,7305 . The biggest common factor number is the GCF number.
So the greatest common factor 68,7305 is 1.
Lets's calculate LCM of 580,9798
| 2 | 580, 9798 |
| 290, 4899 |
∴ So the LCM of the given numbers is 2 x 290 x 4899 = 2841420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2841420
Therefore, the GCF of Fractions 68/580,7305/9798 is 1/2841420
Least Common Multiple of 580,9798 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 580,9798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(580,9798) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(580,9798) x common factors =2 x 1 = 2
LCM(580,9798) = ( 580 × 9798 ) / 2
LCM(580,9798) = 5682840 / 2
LCM(580,9798) = 2841420
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FAQs on GCF of Fractions of 68/580, 7305/9798
1. What is the HCF of 68,7305?
The HCF of 68,7305 is 1
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 68/580, 7305/9798?
Answer: GCF of Numerators as per given numbers 68/580, 7305/9798 is
GCF of Numerators i.e. for 68,7305 is 1
LCM of denominators i.e. for 580,9798 is 2841420.
Thus, GCF of Fractions is 1/2841420.Finally, GCF of Fractions for 68/580, 7305/9798 is 1/2841420.