GCF of 5595/721, 8340/3290
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5595/721, 8340/3290 i.e 15/338870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5595/721, 8340/3290.
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 5595/721,8340/3290?
Given fractions are 5595/721,8340/3290
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 5595/721,8340/3290, numerators are 5595,8340
Denominators are 721,3290
The GCF of 5595,8340 is 15 .
LCM of 721,3290 is 338870.
The greatest common factor of 5595/721,8340/3290 = [GCF of 5595,8340]/[LCM of 721,3290]= 15/338870
Therefore, the GCF of 5595/721,8340/3290 is 15/338870.
To find the highest common factor of 5595,8340, we have to find the factors of both numbers and list the highest common factor.
The factors of 5595 are 1, 3, 5, 15, 373, 1119, 1865, 5595
The factors of 8340 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 139, 278, 417, 556, 695, 834, 1390, 1668, 2085, 2780, 4170, 8340
The HCF of 5595,8340 is 15.
Lets's calculate GCF of 5595,8340
| 3 | 5595, 8340 |
| 5 | 1865, 2780 |
| 373, 556 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 5595,8340 By Matching Biggest Common Factor Method
Now, list down the factors of 5595
:1,3,5,15,373,1119,1865,5595
Now, list down the factors of 8340
:1,2,3,4,5,6,10,12,15,20,30,60,139,278,417,556,695,834,1390,1668,2085,2780,4170,8340
Greatest Common Factor
We found the factors 5595,8340 . The biggest common factor number is the GCF number.
So the greatest common factor 5595,8340 is 15.
Lets's calculate LCM of 721,3290
| 7 | 721, 3290 |
| 103, 470 |
∴ So the LCM of the given numbers is 7 x 103 x 470 = 338870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/338870
Therefore, the GCF of Fractions 5595/721,8340/3290 is 15/338870
Least Common Multiple of 721,3290 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 721,3290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(721,3290) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(721,3290) x common factors =7 x 1 = 7
LCM(721,3290) = ( 721 × 3290 ) / 7
LCM(721,3290) = 2372090 / 7
LCM(721,3290) = 338870
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FAQs on GCF of Fractions of 5595/721, 8340/3290
1. What is the HCF of 5595,8340?
The HCF of 5595,8340 is 15
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 5595/721, 8340/3290?
Answer: GCF of Numerators as per given numbers 5595/721, 8340/3290 is
GCF of Numerators i.e. for 5595,8340 is 15
LCM of denominators i.e. for 721,3290 is 338870.
Thus, GCF of Fractions is 15/338870.Finally, GCF of Fractions for 5595/721, 8340/3290 is 15/338870.