GCF of 1513/838, 3213/7320
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1513/838, 3213/7320 i.e 17/3067080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1513/838, 3213/7320.
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 1513/838,3213/7320?
Given fractions are 1513/838,3213/7320
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 1513/838,3213/7320, numerators are 1513,3213
Denominators are 838,7320
The GCF of 1513,3213 is 17 .
LCM of 838,7320 is 3067080.
The greatest common factor of 1513/838,3213/7320 = [GCF of 1513,3213]/[LCM of 838,7320]= 17/3067080
Therefore, the GCF of 1513/838,3213/7320 is 17/3067080.
To find the highest common factor of 1513,3213, we have to find the factors of both numbers and list the highest common factor.
The factors of 1513 are 1, 17, 89, 1513
The factors of 3213 are 1, 3, 7, 9, 17, 21, 27, 51, 63, 119, 153, 189, 357, 459, 1071, 3213
The HCF of 1513,3213 is 17.
Lets's calculate GCF of 1513,3213
| 17 | 1513, 3213 |
| 89, 189 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 1513,3213 By Matching Biggest Common Factor Method
Now, list down the factors of 1513
:1,17,89,1513
Now, list down the factors of 3213
:1,3,7,9,17,21,27,51,63,119,153,189,357,459,1071,3213
Greatest Common Factor
We found the factors 1513,3213 . The biggest common factor number is the GCF number.
So the greatest common factor 1513,3213 is 17.
Lets's calculate LCM of 838,7320
| 2 | 838, 7320 |
| 419, 3660 |
∴ So the LCM of the given numbers is 2 x 419 x 3660 = 3067080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/3067080
Therefore, the GCF of Fractions 1513/838,3213/7320 is 17/3067080
Least Common Multiple of 838,7320 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 838,7320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(838,7320) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(838,7320) x common factors =2 x 1 = 2
LCM(838,7320) = ( 838 × 7320 ) / 2
LCM(838,7320) = 6134160 / 2
LCM(838,7320) = 3067080
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FAQs on GCF of Fractions of 1513/838, 3213/7320
1. What is the HCF of 1513,3213?
The HCF of 1513,3213 is 17
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 1513/838, 3213/7320?
Answer: GCF of Numerators as per given numbers 1513/838, 3213/7320 is
GCF of Numerators i.e. for 1513,3213 is 17
LCM of denominators i.e. for 838,7320 is 3067080.
Thus, GCF of Fractions is 17/3067080.Finally, GCF of Fractions for 1513/838, 3213/7320 is 17/3067080.