GCF of 1794/820, 1731/7618
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1794/820, 1731/7618 i.e 3/3123380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1794/820, 1731/7618.
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 1794/820,1731/7618?
Given fractions are 1794/820,1731/7618
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 1794/820,1731/7618, numerators are 1794,1731
Denominators are 820,7618
The GCF of 1794,1731 is 3 .
LCM of 820,7618 is 3123380.
The greatest common factor of 1794/820,1731/7618 = [GCF of 1794,1731]/[LCM of 820,7618]= 3/3123380
Therefore, the GCF of 1794/820,1731/7618 is 3/3123380.
To find the highest common factor of 1794,1731, we have to find the factors of both numbers and list the highest common factor.
The factors of 1794 are 1, 2, 3, 6, 13, 23, 26, 39, 46, 69, 78, 138, 299, 598, 897, 1794
The factors of 1731 are 1, 3, 577, 1731
The HCF of 1794,1731 is 3.
Lets's calculate GCF of 1794,1731
| 3 | 1794, 1731 |
| 598, 577 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1794,1731 By Matching Biggest Common Factor Method
Now, list down the factors of 1794
:1,2,3,6,13,23,26,39,46,69,78,138,299,598,897,1794
Now, list down the factors of 1731
:1,3,577,1731
Greatest Common Factor
We found the factors 1794,1731 . The biggest common factor number is the GCF number.
So the greatest common factor 1794,1731 is 3.
Lets's calculate LCM of 820,7618
| 2 | 820, 7618 |
| 410, 3809 |
∴ So the LCM of the given numbers is 2 x 410 x 3809 = 3123380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3123380
Therefore, the GCF of Fractions 1794/820,1731/7618 is 3/3123380
Least Common Multiple of 820,7618 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 820,7618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(820,7618) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(820,7618) x common factors =2 x 1 = 2
LCM(820,7618) = ( 820 × 7618 ) / 2
LCM(820,7618) = 6246760 / 2
LCM(820,7618) = 3123380
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FAQs on GCF of Fractions of 1794/820, 1731/7618
1. What is the HCF of 1794,1731?
The HCF of 1794,1731 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 1794/820, 1731/7618?
Answer: GCF of Numerators as per given numbers 1794/820, 1731/7618 is
GCF of Numerators i.e. for 1794,1731 is 3
LCM of denominators i.e. for 820,7618 is 3123380.
Thus, GCF of Fractions is 3/3123380.Finally, GCF of Fractions for 1794/820, 1731/7618 is 3/3123380.