GCF of 6810/505, 2301/3434
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6810/505, 2301/3434 i.e 3/17170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6810/505, 2301/3434.
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 6810/505,2301/3434?
Given fractions are 6810/505,2301/3434
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 6810/505,2301/3434, numerators are 6810,2301
Denominators are 505,3434
The GCF of 6810,2301 is 3 .
LCM of 505,3434 is 17170.
The greatest common factor of 6810/505,2301/3434 = [GCF of 6810,2301]/[LCM of 505,3434]= 3/17170
Therefore, the GCF of 6810/505,2301/3434 is 3/17170.
To find the highest common factor of 6810,2301, we have to find the factors of both numbers and list the highest common factor.
The factors of 6810 are 1, 2, 3, 5, 6, 10, 15, 30, 227, 454, 681, 1135, 1362, 2270, 3405, 6810
The factors of 2301 are 1, 3, 13, 39, 59, 177, 767, 2301
The HCF of 6810,2301 is 3.
Lets's calculate GCF of 6810,2301
| 3 | 6810, 2301 |
| 2270, 767 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6810,2301 By Matching Biggest Common Factor Method
Now, list down the factors of 6810
:1,2,3,5,6,10,15,30,227,454,681,1135,1362,2270,3405,6810
Now, list down the factors of 2301
:1,3,13,39,59,177,767,2301
Greatest Common Factor
We found the factors 6810,2301 . The biggest common factor number is the GCF number.
So the greatest common factor 6810,2301 is 3.
Lets's calculate LCM of 505,3434
| 101 | 505, 3434 |
| 5, 34 |
∴ So the LCM of the given numbers is 101 x 5 x 34 = 17170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/17170
Therefore, the GCF of Fractions 6810/505,2301/3434 is 3/17170
Least Common Multiple of 505,3434 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 505,3434 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(505,3434) = 101
common factors(in case of two or more numbers have common factors) = 1
GCF(505,3434) x common factors =101 x 1 = 101
LCM(505,3434) = ( 505 × 3434 ) / 101
LCM(505,3434) = 1734170 / 101
LCM(505,3434) = 17170
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FAQs on GCF of Fractions of 6810/505, 2301/3434
1. What is the HCF of 6810,2301?
The HCF of 6810,2301 is 3
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 6810/505, 2301/3434?
Answer: GCF of Numerators as per given numbers 6810/505, 2301/3434 is
GCF of Numerators i.e. for 6810,2301 is 3
LCM of denominators i.e. for 505,3434 is 17170.
Thus, GCF of Fractions is 3/17170.Finally, GCF of Fractions for 6810/505, 2301/3434 is 3/17170.