GCF of 935/491, 1768/819
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 935/491, 1768/819 i.e 17/402129 easily. The following is the detailed procedure to determine the greatest common factor of fractions 935/491, 1768/819.
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 935/491,1768/819?
Given fractions are 935/491,1768/819
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 935/491,1768/819, numerators are 935,1768
Denominators are 491,819
The GCF of 935,1768 is 17 .
LCM of 491,819 is 402129.
The greatest common factor of 935/491,1768/819 = [GCF of 935,1768]/[LCM of 491,819]= 17/402129
Therefore, the GCF of 935/491,1768/819 is 17/402129.
To find the highest common factor of 935,1768, we have to find the factors of both numbers and list the highest common factor.
The factors of 935 are 1, 5, 11, 17, 55, 85, 187, 935
The factors of 1768 are 1, 2, 4, 8, 13, 17, 26, 34, 52, 68, 104, 136, 221, 442, 884, 1768
The HCF of 935,1768 is 17.
Lets's calculate GCF of 935,1768
| 17 | 935, 1768 |
| 55, 104 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 935,1768 By Matching Biggest Common Factor Method
Now, list down the factors of 935
:1,5,11,17,55,85,187,935
Now, list down the factors of 1768
:1,2,4,8,13,17,26,34,52,68,104,136,221,442,884,1768
Greatest Common Factor
We found the factors 935,1768 . The biggest common factor number is the GCF number.
So the greatest common factor 935,1768 is 17.
Lets's calculate LCM of 491,819
Given numbers has no common factors except 1. So, there LCM is their product i.e 402129
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/402129
Therefore, the GCF of Fractions 935/491,1768/819 is 17/402129
Least Common Multiple of 491,819 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 491,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,819) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,819) x common factors =1 x 1 = 1
LCM(491,819) = ( 491 × 819 ) / 1
LCM(491,819) = 402129 / 1
LCM(491,819) = 402129
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FAQs on GCF of Fractions of 935/491, 1768/819
1. What is the HCF of 935,1768?
The HCF of 935,1768 is 17
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 935/491, 1768/819?
Answer: GCF of Numerators as per given numbers 935/491, 1768/819 is
GCF of Numerators i.e. for 935,1768 is 17
LCM of denominators i.e. for 491,819 is 402129.
Thus, GCF of Fractions is 17/402129.Finally, GCF of Fractions for 935/491, 1768/819 is 17/402129.