GCF of 6015/398, 8647/550
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6015/398, 8647/550 i.e 1/109450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6015/398, 8647/550.
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 6015/398,8647/550?
Given fractions are 6015/398,8647/550
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 6015/398,8647/550, numerators are 6015,8647
Denominators are 398,550
The GCF of 6015,8647 is 1 .
LCM of 398,550 is 109450.
The greatest common factor of 6015/398,8647/550 = [GCF of 6015,8647]/[LCM of 398,550]= 1/109450
Therefore, the GCF of 6015/398,8647/550 is 1/109450.
To find the highest common factor of 6015,8647, we have to find the factors of both numbers and list the highest common factor.
The factors of 6015 are 1, 3, 5, 15, 401, 1203, 2005, 6015
The factors of 8647 are 1, 8647
The HCF of 6015,8647 is 1.
Lets's calculate GCF of 6015,8647
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6015,8647 By Matching Biggest Common Factor Method
Now, list down the factors of 6015
:1,3,5,15,401,1203,2005,6015
Now, list down the factors of 8647
:1,8647
Greatest Common Factor
We found the factors 6015,8647 . The biggest common factor number is the GCF number.
So the greatest common factor 6015,8647 is 1.
Lets's calculate LCM of 398,550
| 2 | 398, 550 |
| 199, 275 |
∴ So the LCM of the given numbers is 2 x 199 x 275 = 109450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109450
Therefore, the GCF of Fractions 6015/398,8647/550 is 1/109450
Least Common Multiple of 398,550 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 398,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,550) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(398,550) x common factors =2 x 1 = 2
LCM(398,550) = ( 398 × 550 ) / 2
LCM(398,550) = 218900 / 2
LCM(398,550) = 109450
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FAQs on GCF of Fractions of 6015/398, 8647/550
1. What is the HCF of 6015,8647?
The HCF of 6015,8647 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 6015/398, 8647/550?
Answer: GCF of Numerators as per given numbers 6015/398, 8647/550 is
GCF of Numerators i.e. for 6015,8647 is 1
LCM of denominators i.e. for 398,550 is 109450.
Thus, GCF of Fractions is 1/109450.Finally, GCF of Fractions for 6015/398, 8647/550 is 1/109450.