GCF of 3417/368, 2814/961
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3417/368, 2814/961 i.e 201/353648 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3417/368, 2814/961.
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 3417/368,2814/961?
Given fractions are 3417/368,2814/961
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 3417/368,2814/961, numerators are 3417,2814
Denominators are 368,961
The GCF of 3417,2814 is 201 .
LCM of 368,961 is 353648.
The greatest common factor of 3417/368,2814/961 = [GCF of 3417,2814]/[LCM of 368,961]= 201/353648
Therefore, the GCF of 3417/368,2814/961 is 201/353648.
To find the highest common factor of 3417,2814, we have to find the factors of both numbers and list the highest common factor.
The factors of 3417 are 1, 3, 17, 51, 67, 201, 1139, 3417
The factors of 2814 are 1, 2, 3, 6, 7, 14, 21, 42, 67, 134, 201, 402, 469, 938, 1407, 2814
The HCF of 3417,2814 is 201.
Lets's calculate GCF of 3417,2814
| 3 | 3417, 2814 |
| 67 | 1139, 938 |
| 17, 14 |
∴ So the GCF of the given numbers is 3 x 67 = 201
Greatest Common Factor of 3417,2814 By Matching Biggest Common Factor Method
Now, list down the factors of 3417
:1,3,17,51,67,201,1139,3417
Now, list down the factors of 2814
:1,2,3,6,7,14,21,42,67,134,201,402,469,938,1407,2814
Greatest Common Factor
We found the factors 3417,2814 . The biggest common factor number is the GCF number.
So the greatest common factor 3417,2814 is 201.
Lets's calculate LCM of 368,961
Given numbers has no common factors except 1. So, there LCM is their product i.e 353648
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 201/353648
Therefore, the GCF of Fractions 3417/368,2814/961 is 201/353648
Least Common Multiple of 368,961 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 368,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(368,961) x common factors =1 x 1 = 1
LCM(368,961) = ( 368 × 961 ) / 1
LCM(368,961) = 353648 / 1
LCM(368,961) = 353648
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FAQs on GCF of Fractions of 3417/368, 2814/961
1. What is the HCF of 3417,2814?
The HCF of 3417,2814 is 201
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 3417/368, 2814/961?
Answer: GCF of Numerators as per given numbers 3417/368, 2814/961 is
GCF of Numerators i.e. for 3417,2814 is 201
LCM of denominators i.e. for 368,961 is 353648.
Thus, GCF of Fractions is 201/353648.Finally, GCF of Fractions for 3417/368, 2814/961 is 201/353648.