GCF of 3369/349, 8712/274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3369/349, 8712/274 i.e 3/95626 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3369/349, 8712/274.
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 3369/349,8712/274?
Given fractions are 3369/349,8712/274
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 3369/349,8712/274, numerators are 3369,8712
Denominators are 349,274
The GCF of 3369,8712 is 3 .
LCM of 349,274 is 95626.
The greatest common factor of 3369/349,8712/274 = [GCF of 3369,8712]/[LCM of 349,274]= 3/95626
Therefore, the GCF of 3369/349,8712/274 is 3/95626.
To find the highest common factor of 3369,8712, we have to find the factors of both numbers and list the highest common factor.
The factors of 3369 are 1, 3, 1123, 3369
The factors of 8712 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 121, 132, 198, 242, 264, 363, 396, 484, 726, 792, 968, 1089, 1452, 2178, 2904, 4356, 8712
The HCF of 3369,8712 is 3.
Lets's calculate GCF of 3369,8712
| 3 | 3369, 8712 |
| 1123, 2904 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3369,8712 By Matching Biggest Common Factor Method
Now, list down the factors of 3369
:1,3,1123,3369
Now, list down the factors of 8712
:1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,121,132,198,242,264,363,396,484,726,792,968,1089,1452,2178,2904,4356,8712
Greatest Common Factor
We found the factors 3369,8712 . The biggest common factor number is the GCF number.
So the greatest common factor 3369,8712 is 3.
Lets's calculate LCM of 349,274
Given numbers has no common factors except 1. So, there LCM is their product i.e 95626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/95626
Therefore, the GCF of Fractions 3369/349,8712/274 is 3/95626
Least Common Multiple of 349,274 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 349,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(349,274) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(349,274) x common factors =1 x 1 = 1
LCM(349,274) = ( 349 × 274 ) / 1
LCM(349,274) = 95626 / 1
LCM(349,274) = 95626
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FAQs on GCF of Fractions of 3369/349, 8712/274
1. What is the HCF of 3369,8712?
The HCF of 3369,8712 is 3
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 3369/349, 8712/274?
Answer: GCF of Numerators as per given numbers 3369/349, 8712/274 is
GCF of Numerators i.e. for 3369,8712 is 3
LCM of denominators i.e. for 349,274 is 95626.
Thus, GCF of Fractions is 3/95626.Finally, GCF of Fractions for 3369/349, 8712/274 is 3/95626.