GCF of 1694/818, 6477/1510
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1694/818, 6477/1510 i.e 1/617590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1694/818, 6477/1510.
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 1694/818,6477/1510?
Given fractions are 1694/818,6477/1510
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 1694/818,6477/1510, numerators are 1694,6477
Denominators are 818,1510
The GCF of 1694,6477 is 1 .
LCM of 818,1510 is 617590.
The greatest common factor of 1694/818,6477/1510 = [GCF of 1694,6477]/[LCM of 818,1510]= 1/617590
Therefore, the GCF of 1694/818,6477/1510 is 1/617590.
To find the highest common factor of 1694,6477, we have to find the factors of both numbers and list the highest common factor.
The factors of 1694 are 1, 2, 7, 11, 14, 22, 77, 121, 154, 242, 847, 1694
The factors of 6477 are 1, 3, 17, 51, 127, 381, 2159, 6477
The HCF of 1694,6477 is 1.
Lets's calculate GCF of 1694,6477
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1694,6477 By Matching Biggest Common Factor Method
Now, list down the factors of 1694
:1,2,7,11,14,22,77,121,154,242,847,1694
Now, list down the factors of 6477
:1,3,17,51,127,381,2159,6477
Greatest Common Factor
We found the factors 1694,6477 . The biggest common factor number is the GCF number.
So the greatest common factor 1694,6477 is 1.
Lets's calculate LCM of 818,1510
| 2 | 818, 1510 |
| 409, 755 |
∴ So the LCM of the given numbers is 2 x 409 x 755 = 617590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/617590
Therefore, the GCF of Fractions 1694/818,6477/1510 is 1/617590
Least Common Multiple of 818,1510 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 818,1510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(818,1510) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(818,1510) x common factors =2 x 1 = 2
LCM(818,1510) = ( 818 × 1510 ) / 2
LCM(818,1510) = 1235180 / 2
LCM(818,1510) = 617590
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FAQs on GCF of Fractions of 1694/818, 6477/1510
1. What is the HCF of 1694,6477?
The HCF of 1694,6477 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 1694/818, 6477/1510?
Answer: GCF of Numerators as per given numbers 1694/818, 6477/1510 is
GCF of Numerators i.e. for 1694,6477 is 1
LCM of denominators i.e. for 818,1510 is 617590.
Thus, GCF of Fractions is 1/617590.Finally, GCF of Fractions for 1694/818, 6477/1510 is 1/617590.