GCF of 4099/609, 3142/2716
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4099/609, 3142/2716 i.e 1/236292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4099/609, 3142/2716.
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 4099/609,3142/2716?
Given fractions are 4099/609,3142/2716
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 4099/609,3142/2716, numerators are 4099,3142
Denominators are 609,2716
The GCF of 4099,3142 is 1 .
LCM of 609,2716 is 236292.
The greatest common factor of 4099/609,3142/2716 = [GCF of 4099,3142]/[LCM of 609,2716]= 1/236292
Therefore, the GCF of 4099/609,3142/2716 is 1/236292.
To find the highest common factor of 4099,3142, we have to find the factors of both numbers and list the highest common factor.
The factors of 4099 are 1, 4099
The factors of 3142 are 1, 2, 1571, 3142
The HCF of 4099,3142 is 1.
Lets's calculate GCF of 4099,3142
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4099,3142 By Matching Biggest Common Factor Method
Now, list down the factors of 4099
:1,4099
Now, list down the factors of 3142
:1,2,1571,3142
Greatest Common Factor
We found the factors 4099,3142 . The biggest common factor number is the GCF number.
So the greatest common factor 4099,3142 is 1.
Lets's calculate LCM of 609,2716
| 7 | 609, 2716 |
| 87, 388 |
∴ So the LCM of the given numbers is 7 x 87 x 388 = 236292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/236292
Therefore, the GCF of Fractions 4099/609,3142/2716 is 1/236292
Least Common Multiple of 609,2716 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 609,2716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,2716) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(609,2716) x common factors =7 x 1 = 7
LCM(609,2716) = ( 609 × 2716 ) / 7
LCM(609,2716) = 1654044 / 7
LCM(609,2716) = 236292
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FAQs on GCF of Fractions of 4099/609, 3142/2716
1. What is the HCF of 4099,3142?
The HCF of 4099,3142 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 4099/609, 3142/2716?
Answer: GCF of Numerators as per given numbers 4099/609, 3142/2716 is
GCF of Numerators i.e. for 4099,3142 is 1
LCM of denominators i.e. for 609,2716 is 236292.
Thus, GCF of Fractions is 1/236292.Finally, GCF of Fractions for 4099/609, 3142/2716 is 1/236292.