GCF of 6810/490, 5175/9583
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6810/490, 5175/9583 i.e 15/670810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6810/490, 5175/9583.
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 6810/490,5175/9583?
Given fractions are 6810/490,5175/9583
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 6810/490,5175/9583, numerators are 6810,5175
Denominators are 490,9583
The GCF of 6810,5175 is 15 .
LCM of 490,9583 is 670810.
The greatest common factor of 6810/490,5175/9583 = [GCF of 6810,5175]/[LCM of 490,9583]= 15/670810
Therefore, the GCF of 6810/490,5175/9583 is 15/670810.
To find the highest common factor of 6810,5175, 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 5175 are 1, 3, 5, 9, 15, 23, 25, 45, 69, 75, 115, 207, 225, 345, 575, 1035, 1725, 5175
The HCF of 6810,5175 is 15.
Lets's calculate GCF of 6810,5175
| 3 | 6810, 5175 |
| 5 | 2270, 1725 |
| 454, 345 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 6810,5175 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 5175
:1,3,5,9,15,23,25,45,69,75,115,207,225,345,575,1035,1725,5175
Greatest Common Factor
We found the factors 6810,5175 . The biggest common factor number is the GCF number.
So the greatest common factor 6810,5175 is 15.
Lets's calculate LCM of 490,9583
| 7 | 490, 9583 |
| 70, 1369 |
∴ So the LCM of the given numbers is 7 x 70 x 1369 = 670810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/670810
Therefore, the GCF of Fractions 6810/490,5175/9583 is 15/670810
Least Common Multiple of 490,9583 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 490,9583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,9583) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(490,9583) x common factors =7 x 1 = 7
LCM(490,9583) = ( 490 × 9583 ) / 7
LCM(490,9583) = 4695670 / 7
LCM(490,9583) = 670810
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FAQs on GCF of Fractions of 6810/490, 5175/9583
1. What is the HCF of 6810,5175?
The HCF of 6810,5175 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 6810/490, 5175/9583?
Answer: GCF of Numerators as per given numbers 6810/490, 5175/9583 is
GCF of Numerators i.e. for 6810,5175 is 15
LCM of denominators i.e. for 490,9583 is 670810.
Thus, GCF of Fractions is 15/670810.Finally, GCF of Fractions for 6810/490, 5175/9583 is 15/670810.