GCF of 4517/268, 6596/4556
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4517/268, 6596/4556 i.e 1/4556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4517/268, 6596/4556.
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 4517/268,6596/4556?
Given fractions are 4517/268,6596/4556
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 4517/268,6596/4556, numerators are 4517,6596
Denominators are 268,4556
The GCF of 4517,6596 is 1 .
LCM of 268,4556 is 4556.
The greatest common factor of 4517/268,6596/4556 = [GCF of 4517,6596]/[LCM of 268,4556]= 1/4556
Therefore, the GCF of 4517/268,6596/4556 is 1/4556.
To find the highest common factor of 4517,6596, we have to find the factors of both numbers and list the highest common factor.
The factors of 4517 are 1, 4517
The factors of 6596 are 1, 2, 4, 17, 34, 68, 97, 194, 388, 1649, 3298, 6596
The HCF of 4517,6596 is 1.
Lets's calculate GCF of 4517,6596
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4517,6596 By Matching Biggest Common Factor Method
Now, list down the factors of 4517
:1,4517
Now, list down the factors of 6596
:1,2,4,17,34,68,97,194,388,1649,3298,6596
Greatest Common Factor
We found the factors 4517,6596 . The biggest common factor number is the GCF number.
So the greatest common factor 4517,6596 is 1.
Lets's calculate LCM of 268,4556
| 2 | 268, 4556 |
| 2 | 134, 2278 |
| 67 | 67, 1139 |
| 1, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 67 x 1 x 17 = 4556
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4556
Therefore, the GCF of Fractions 4517/268,6596/4556 is 1/4556
Least Common Multiple of 268,4556 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 268,4556 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,4556) = 268
common factors(in case of two or more numbers have common factors) = 1
GCF(268,4556) x common factors =268 x 1 = 268
LCM(268,4556) = ( 268 × 4556 ) / 268
LCM(268,4556) = 1221008 / 268
LCM(268,4556) = 4556
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FAQs on GCF of Fractions of 4517/268, 6596/4556
1. What is the HCF of 4517,6596?
The HCF of 4517,6596 is 1
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 4517/268, 6596/4556?
Answer: GCF of Numerators as per given numbers 4517/268, 6596/4556 is
GCF of Numerators i.e. for 4517,6596 is 1
LCM of denominators i.e. for 268,4556 is 4556.
Thus, GCF of Fractions is 1/4556.Finally, GCF of Fractions for 4517/268, 6596/4556 is 1/4556.