GCF of 4513/335, 7640/1640
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4513/335, 7640/1640 i.e 1/109880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4513/335, 7640/1640.
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 4513/335,7640/1640?
Given fractions are 4513/335,7640/1640
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 4513/335,7640/1640, numerators are 4513,7640
Denominators are 335,1640
The GCF of 4513,7640 is 1 .
LCM of 335,1640 is 109880.
The greatest common factor of 4513/335,7640/1640 = [GCF of 4513,7640]/[LCM of 335,1640]= 1/109880
Therefore, the GCF of 4513/335,7640/1640 is 1/109880.
To find the highest common factor of 4513,7640, we have to find the factors of both numbers and list the highest common factor.
The factors of 4513 are 1, 4513
The factors of 7640 are 1, 2, 4, 5, 8, 10, 20, 40, 191, 382, 764, 955, 1528, 1910, 3820, 7640
The HCF of 4513,7640 is 1.
Lets's calculate GCF of 4513,7640
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4513,7640 By Matching Biggest Common Factor Method
Now, list down the factors of 4513
:1,4513
Now, list down the factors of 7640
:1,2,4,5,8,10,20,40,191,382,764,955,1528,1910,3820,7640
Greatest Common Factor
We found the factors 4513,7640 . The biggest common factor number is the GCF number.
So the greatest common factor 4513,7640 is 1.
Lets's calculate LCM of 335,1640
| 5 | 335, 1640 |
| 67, 328 |
∴ So the LCM of the given numbers is 5 x 67 x 328 = 109880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109880
Therefore, the GCF of Fractions 4513/335,7640/1640 is 1/109880
Least Common Multiple of 335,1640 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 335,1640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,1640) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(335,1640) x common factors =5 x 1 = 5
LCM(335,1640) = ( 335 × 1640 ) / 5
LCM(335,1640) = 549400 / 5
LCM(335,1640) = 109880
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FAQs on GCF of Fractions of 4513/335, 7640/1640
1. What is the HCF of 4513,7640?
The HCF of 4513,7640 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 4513/335, 7640/1640?
Answer: GCF of Numerators as per given numbers 4513/335, 7640/1640 is
GCF of Numerators i.e. for 4513,7640 is 1
LCM of denominators i.e. for 335,1640 is 109880.
Thus, GCF of Fractions is 1/109880.Finally, GCF of Fractions for 4513/335, 7640/1640 is 1/109880.