GCF of 5655/313, 5915/4633
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5655/313, 5915/4633 i.e 65/1450129 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5655/313, 5915/4633.
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 5655/313,5915/4633?
Given fractions are 5655/313,5915/4633
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 5655/313,5915/4633, numerators are 5655,5915
Denominators are 313,4633
The GCF of 5655,5915 is 65 .
LCM of 313,4633 is 1450129.
The greatest common factor of 5655/313,5915/4633 = [GCF of 5655,5915]/[LCM of 313,4633]= 65/1450129
Therefore, the GCF of 5655/313,5915/4633 is 65/1450129.
To find the highest common factor of 5655,5915, we have to find the factors of both numbers and list the highest common factor.
The factors of 5655 are 1, 3, 5, 13, 15, 29, 39, 65, 87, 145, 195, 377, 435, 1131, 1885, 5655
The factors of 5915 are 1, 5, 7, 13, 35, 65, 91, 169, 455, 845, 1183, 5915
The HCF of 5655,5915 is 65.
Lets's calculate GCF of 5655,5915
| 5 | 5655, 5915 |
| 13 | 1131, 1183 |
| 87, 91 |
∴ So the GCF of the given numbers is 5 x 13 = 65
Greatest Common Factor of 5655,5915 By Matching Biggest Common Factor Method
Now, list down the factors of 5655
:1,3,5,13,15,29,39,65,87,145,195,377,435,1131,1885,5655
Now, list down the factors of 5915
:1,5,7,13,35,65,91,169,455,845,1183,5915
Greatest Common Factor
We found the factors 5655,5915 . The biggest common factor number is the GCF number.
So the greatest common factor 5655,5915 is 65.
Lets's calculate LCM of 313,4633
Given numbers has no common factors except 1. So, there LCM is their product i.e 1450129
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 65/1450129
Therefore, the GCF of Fractions 5655/313,5915/4633 is 65/1450129
Least Common Multiple of 313,4633 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 313,4633 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,4633) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,4633) x common factors =1 x 1 = 1
LCM(313,4633) = ( 313 × 4633 ) / 1
LCM(313,4633) = 1450129 / 1
LCM(313,4633) = 1450129
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FAQs on GCF of Fractions of 5655/313, 5915/4633
1. What is the HCF of 5655,5915?
The HCF of 5655,5915 is 65
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 5655/313, 5915/4633?
Answer: GCF of Numerators as per given numbers 5655/313, 5915/4633 is
GCF of Numerators i.e. for 5655,5915 is 65
LCM of denominators i.e. for 313,4633 is 1450129.
Thus, GCF of Fractions is 65/1450129.Finally, GCF of Fractions for 5655/313, 5915/4633 is 65/1450129.