GCF of 3374/489, 8570/5217
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3374/489, 8570/5217 i.e 2/850371 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3374/489, 8570/5217.
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 3374/489,8570/5217?
Given fractions are 3374/489,8570/5217
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 3374/489,8570/5217, numerators are 3374,8570
Denominators are 489,5217
The GCF of 3374,8570 is 2 .
LCM of 489,5217 is 850371.
The greatest common factor of 3374/489,8570/5217 = [GCF of 3374,8570]/[LCM of 489,5217]= 2/850371
Therefore, the GCF of 3374/489,8570/5217 is 2/850371.
To find the highest common factor of 3374,8570, we have to find the factors of both numbers and list the highest common factor.
The factors of 3374 are 1, 2, 7, 14, 241, 482, 1687, 3374
The factors of 8570 are 1, 2, 5, 10, 857, 1714, 4285, 8570
The HCF of 3374,8570 is 2.
Lets's calculate GCF of 3374,8570
| 2 | 3374, 8570 |
| 1687, 4285 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3374,8570 By Matching Biggest Common Factor Method
Now, list down the factors of 3374
:1,2,7,14,241,482,1687,3374
Now, list down the factors of 8570
:1,2,5,10,857,1714,4285,8570
Greatest Common Factor
We found the factors 3374,8570 . The biggest common factor number is the GCF number.
So the greatest common factor 3374,8570 is 2.
Lets's calculate LCM of 489,5217
| 3 | 489, 5217 |
| 163, 1739 |
∴ So the LCM of the given numbers is 3 x 163 x 1739 = 850371
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/850371
Therefore, the GCF of Fractions 3374/489,8570/5217 is 2/850371
Least Common Multiple of 489,5217 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 489,5217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,5217) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(489,5217) x common factors =3 x 1 = 3
LCM(489,5217) = ( 489 × 5217 ) / 3
LCM(489,5217) = 2551113 / 3
LCM(489,5217) = 850371
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FAQs on GCF of Fractions of 3374/489, 8570/5217
1. What is the HCF of 3374,8570?
The HCF of 3374,8570 is 2
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 3374/489, 8570/5217?
Answer: GCF of Numerators as per given numbers 3374/489, 8570/5217 is
GCF of Numerators i.e. for 3374,8570 is 2
LCM of denominators i.e. for 489,5217 is 850371.
Thus, GCF of Fractions is 2/850371.Finally, GCF of Fractions for 3374/489, 8570/5217 is 2/850371.