GCF of 4585/819, 8065/7599
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4585/819, 8065/7599 i.e 5/2074527 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4585/819, 8065/7599.
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 4585/819,8065/7599?
Given fractions are 4585/819,8065/7599
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 4585/819,8065/7599, numerators are 4585,8065
Denominators are 819,7599
The GCF of 4585,8065 is 5 .
LCM of 819,7599 is 2074527.
The greatest common factor of 4585/819,8065/7599 = [GCF of 4585,8065]/[LCM of 819,7599]= 5/2074527
Therefore, the GCF of 4585/819,8065/7599 is 5/2074527.
To find the highest common factor of 4585,8065, we have to find the factors of both numbers and list the highest common factor.
The factors of 4585 are 1, 5, 7, 35, 131, 655, 917, 4585
The factors of 8065 are 1, 5, 1613, 8065
The HCF of 4585,8065 is 5.
Lets's calculate GCF of 4585,8065
| 5 | 4585, 8065 |
| 917, 1613 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 4585,8065 By Matching Biggest Common Factor Method
Now, list down the factors of 4585
:1,5,7,35,131,655,917,4585
Now, list down the factors of 8065
:1,5,1613,8065
Greatest Common Factor
We found the factors 4585,8065 . The biggest common factor number is the GCF number.
So the greatest common factor 4585,8065 is 5.
Lets's calculate LCM of 819,7599
| 3 | 819, 7599 |
| 273, 2533 |
∴ So the LCM of the given numbers is 3 x 273 x 2533 = 2074527
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2074527
Therefore, the GCF of Fractions 4585/819,8065/7599 is 5/2074527
Least Common Multiple of 819,7599 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 819,7599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,7599) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(819,7599) x common factors =3 x 1 = 3
LCM(819,7599) = ( 819 × 7599 ) / 3
LCM(819,7599) = 6223581 / 3
LCM(819,7599) = 2074527
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FAQs on GCF of Fractions of 4585/819, 8065/7599
1. What is the HCF of 4585,8065?
The HCF of 4585,8065 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 4585/819, 8065/7599?
Answer: GCF of Numerators as per given numbers 4585/819, 8065/7599 is
GCF of Numerators i.e. for 4585,8065 is 5
LCM of denominators i.e. for 819,7599 is 2074527.
Thus, GCF of Fractions is 5/2074527.Finally, GCF of Fractions for 4585/819, 8065/7599 is 5/2074527.