GCF of 796/319, 406/709
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 796/319, 406/709 i.e 2/226171 easily. The following is the detailed procedure to determine the greatest common factor of fractions 796/319, 406/709.
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 796/319,406/709?
Given fractions are 796/319,406/709
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 796/319,406/709, numerators are 796,406
Denominators are 319,709
The GCF of 796,406 is 2 .
LCM of 319,709 is 226171.
The greatest common factor of 796/319,406/709 = [GCF of 796,406]/[LCM of 319,709]= 2/226171
Therefore, the GCF of 796/319,406/709 is 2/226171.
To find the highest common factor of 796,406, we have to find the factors of both numbers and list the highest common factor.
The factors of 796 are 1, 2, 4, 199, 398, 796
The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406
The HCF of 796,406 is 2.
Lets's calculate GCF of 796,406
| 2 | 796, 406 |
| 398, 203 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 796,406 By Matching Biggest Common Factor Method
Now, list down the factors of 796
:1,2,4,199,398,796
Now, list down the factors of 406
:1,2,7,14,29,58,203,406
Greatest Common Factor
We found the factors 796,406 . The biggest common factor number is the GCF number.
So the greatest common factor 796,406 is 2.
Lets's calculate LCM of 319,709
Given numbers has no common factors except 1. So, there LCM is their product i.e 226171
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/226171
Therefore, the GCF of Fractions 796/319,406/709 is 2/226171
Least Common Multiple of 319,709 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 319,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(319,709) x common factors =1 x 1 = 1
LCM(319,709) = ( 319 × 709 ) / 1
LCM(319,709) = 226171 / 1
LCM(319,709) = 226171
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FAQs on GCF of Fractions of 796/319, 406/709
1. What is the HCF of 796,406?
The HCF of 796,406 is 2
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 796/319, 406/709?
Answer: GCF of Numerators as per given numbers 796/319, 406/709 is
GCF of Numerators i.e. for 796,406 is 2
LCM of denominators i.e. for 319,709 is 226171.
Thus, GCF of Fractions is 2/226171.Finally, GCF of Fractions for 796/319, 406/709 is 2/226171.