GCF of 2317/834, 5845/1610
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2317/834, 5845/1610 i.e 7/671370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2317/834, 5845/1610.
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 2317/834,5845/1610?
Given fractions are 2317/834,5845/1610
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 2317/834,5845/1610, numerators are 2317,5845
Denominators are 834,1610
The GCF of 2317,5845 is 7 .
LCM of 834,1610 is 671370.
The greatest common factor of 2317/834,5845/1610 = [GCF of 2317,5845]/[LCM of 834,1610]= 7/671370
Therefore, the GCF of 2317/834,5845/1610 is 7/671370.
To find the highest common factor of 2317,5845, we have to find the factors of both numbers and list the highest common factor.
The factors of 2317 are 1, 7, 331, 2317
The factors of 5845 are 1, 5, 7, 35, 167, 835, 1169, 5845
The HCF of 2317,5845 is 7.
Lets's calculate GCF of 2317,5845
| 7 | 2317, 5845 |
| 331, 835 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 2317,5845 By Matching Biggest Common Factor Method
Now, list down the factors of 2317
:1,7,331,2317
Now, list down the factors of 5845
:1,5,7,35,167,835,1169,5845
Greatest Common Factor
We found the factors 2317,5845 . The biggest common factor number is the GCF number.
So the greatest common factor 2317,5845 is 7.
Lets's calculate LCM of 834,1610
| 2 | 834, 1610 |
| 417, 805 |
∴ So the LCM of the given numbers is 2 x 417 x 805 = 671370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/671370
Therefore, the GCF of Fractions 2317/834,5845/1610 is 7/671370
Least Common Multiple of 834,1610 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 834,1610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(834,1610) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(834,1610) x common factors =2 x 1 = 2
LCM(834,1610) = ( 834 × 1610 ) / 2
LCM(834,1610) = 1342740 / 2
LCM(834,1610) = 671370
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FAQs on GCF of Fractions of 2317/834, 5845/1610
1. What is the HCF of 2317,5845?
The HCF of 2317,5845 is 7
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 2317/834, 5845/1610?
Answer: GCF of Numerators as per given numbers 2317/834, 5845/1610 is
GCF of Numerators i.e. for 2317,5845 is 7
LCM of denominators i.e. for 834,1610 is 671370.
Thus, GCF of Fractions is 7/671370.Finally, GCF of Fractions for 2317/834, 5845/1610 is 7/671370.