GCF of 798/377, 1746/377
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 798/377, 1746/377 i.e 6/377 easily. The following is the detailed procedure to determine the greatest common factor of fractions 798/377, 1746/377.
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 798/377,1746/377?
Given fractions are 798/377,1746/377
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 798/377,1746/377, numerators are 798,1746
Denominators are 377,377
The GCF of 798,1746 is 6 .
LCM of 377,377 is 377.
The greatest common factor of 798/377,1746/377 = [GCF of 798,1746]/[LCM of 377,377]= 6/377
Therefore, the GCF of 798/377,1746/377 is 6/377.
To find the highest common factor of 798,1746, we have to find the factors of both numbers and list the highest common factor.
The factors of 798 are 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
The factors of 1746 are 1, 2, 3, 6, 9, 18, 97, 194, 291, 582, 873, 1746
The HCF of 798,1746 is 6.
Lets's calculate GCF of 798,1746
| 2 | 798, 1746 |
| 3 | 399, 873 |
| 133, 291 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 798,1746 By Matching Biggest Common Factor Method
Now, list down the factors of 798
:1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Now, list down the factors of 1746
:1,2,3,6,9,18,97,194,291,582,873,1746
Greatest Common Factor
We found the factors 798,1746 . The biggest common factor number is the GCF number.
So the greatest common factor 798,1746 is 6.
Lets's calculate LCM of 377,377
| 13 | 377, 377 |
| 29 | 29, 29 |
| 1, 1 |
∴ So the LCM of the given numbers is 13 x 29 x 1 x 1 = 377
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/377
Therefore, the GCF of Fractions 798/377,1746/377 is 6/377
Least Common Multiple of 377,377 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 377,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(377,377) = 377
common factors(in case of two or more numbers have common factors) = 1
GCF(377,377) x common factors =377 x 1 = 377
LCM(377,377) = ( 377 × 377 ) / 377
LCM(377,377) = 142129 / 377
LCM(377,377) = 377
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FAQs on GCF of Fractions of 798/377, 1746/377
1. What is the HCF of 798,1746?
The HCF of 798,1746 is 6
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 798/377, 1746/377?
Answer: GCF of Numerators as per given numbers 798/377, 1746/377 is
GCF of Numerators i.e. for 798,1746 is 6
LCM of denominators i.e. for 377,377 is 377.
Thus, GCF of Fractions is 6/377.Finally, GCF of Fractions for 798/377, 1746/377 is 6/377.