GCF of 488/715, 7384/4513
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 488/715, 7384/4513 i.e 8/3226795 easily. The following is the detailed procedure to determine the greatest common factor of fractions 488/715, 7384/4513.
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 488/715,7384/4513?
Given fractions are 488/715,7384/4513
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 488/715,7384/4513, numerators are 488,7384
Denominators are 715,4513
The GCF of 488,7384 is 8 .
LCM of 715,4513 is 3226795.
The greatest common factor of 488/715,7384/4513 = [GCF of 488,7384]/[LCM of 715,4513]= 8/3226795
Therefore, the GCF of 488/715,7384/4513 is 8/3226795.
To find the highest common factor of 488,7384, we have to find the factors of both numbers and list the highest common factor.
The factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488
The factors of 7384 are 1, 2, 4, 8, 13, 26, 52, 71, 104, 142, 284, 568, 923, 1846, 3692, 7384
The HCF of 488,7384 is 8.
Lets's calculate GCF of 488,7384
| 2 | 488, 7384 |
| 2 | 244, 3692 |
| 2 | 122, 1846 |
| 61, 923 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 488,7384 By Matching Biggest Common Factor Method
Now, list down the factors of 488
:1,2,4,8,61,122,244,488
Now, list down the factors of 7384
:1,2,4,8,13,26,52,71,104,142,284,568,923,1846,3692,7384
Greatest Common Factor
We found the factors 488,7384 . The biggest common factor number is the GCF number.
So the greatest common factor 488,7384 is 8.
Lets's calculate LCM of 715,4513
Given numbers has no common factors except 1. So, there LCM is their product i.e 3226795
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/3226795
Therefore, the GCF of Fractions 488/715,7384/4513 is 8/3226795
Least Common Multiple of 715,4513 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 715,4513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,4513) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(715,4513) x common factors =1 x 1 = 1
LCM(715,4513) = ( 715 × 4513 ) / 1
LCM(715,4513) = 3226795 / 1
LCM(715,4513) = 3226795
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FAQs on GCF of Fractions of 488/715, 7384/4513
1. What is the HCF of 488,7384?
The HCF of 488,7384 is 8
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 488/715, 7384/4513?
Answer: GCF of Numerators as per given numbers 488/715, 7384/4513 is
GCF of Numerators i.e. for 488,7384 is 8
LCM of denominators i.e. for 715,4513 is 3226795.
Thus, GCF of Fractions is 8/3226795.Finally, GCF of Fractions for 488/715, 7384/4513 is 8/3226795.