GCF of 9618/715, 3429/7462
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9618/715, 3429/7462 i.e 3/410410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9618/715, 3429/7462.
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 9618/715,3429/7462?
Given fractions are 9618/715,3429/7462
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 9618/715,3429/7462, numerators are 9618,3429
Denominators are 715,7462
The GCF of 9618,3429 is 3 .
LCM of 715,7462 is 410410.
The greatest common factor of 9618/715,3429/7462 = [GCF of 9618,3429]/[LCM of 715,7462]= 3/410410
Therefore, the GCF of 9618/715,3429/7462 is 3/410410.
To find the highest common factor of 9618,3429, we have to find the factors of both numbers and list the highest common factor.
The factors of 9618 are 1, 2, 3, 6, 7, 14, 21, 42, 229, 458, 687, 1374, 1603, 3206, 4809, 9618
The factors of 3429 are 1, 3, 9, 27, 127, 381, 1143, 3429
The HCF of 9618,3429 is 3.
Lets's calculate GCF of 9618,3429
| 3 | 9618, 3429 |
| 3206, 1143 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9618,3429 By Matching Biggest Common Factor Method
Now, list down the factors of 9618
:1,2,3,6,7,14,21,42,229,458,687,1374,1603,3206,4809,9618
Now, list down the factors of 3429
:1,3,9,27,127,381,1143,3429
Greatest Common Factor
We found the factors 9618,3429 . The biggest common factor number is the GCF number.
So the greatest common factor 9618,3429 is 3.
Lets's calculate LCM of 715,7462
| 13 | 715, 7462 |
| 55, 574 |
∴ So the LCM of the given numbers is 13 x 55 x 574 = 410410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/410410
Therefore, the GCF of Fractions 9618/715,3429/7462 is 3/410410
Least Common Multiple of 715,7462 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 715,7462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,7462) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(715,7462) x common factors =13 x 1 = 13
LCM(715,7462) = ( 715 × 7462 ) / 13
LCM(715,7462) = 5335330 / 13
LCM(715,7462) = 410410
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FAQs on GCF of Fractions of 9618/715, 3429/7462
1. What is the HCF of 9618,3429?
The HCF of 9618,3429 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 9618/715, 3429/7462?
Answer: GCF of Numerators as per given numbers 9618/715, 3429/7462 is
GCF of Numerators i.e. for 9618,3429 is 3
LCM of denominators i.e. for 715,7462 is 410410.
Thus, GCF of Fractions is 3/410410.Finally, GCF of Fractions for 9618/715, 3429/7462 is 3/410410.