GCF of 926/34, 814/814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 926/34, 814/814 i.e 2/13838 easily. The following is the detailed procedure to determine the greatest common factor of fractions 926/34, 814/814.
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 926/34,814/814?
Given fractions are 926/34,814/814
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 926/34,814/814, numerators are 926,814
Denominators are 34,814
The GCF of 926,814 is 2 .
LCM of 34,814 is 13838.
The greatest common factor of 926/34,814/814 = [GCF of 926,814]/[LCM of 34,814]= 2/13838
Therefore, the GCF of 926/34,814/814 is 2/13838.
To find the highest common factor of 926,814, we have to find the factors of both numbers and list the highest common factor.
The factors of 926 are 1, 2, 463, 926
The factors of 814 are 1, 2, 11, 22, 37, 74, 407, 814
The HCF of 926,814 is 2.
Lets's calculate GCF of 926,814
| 2 | 926, 814 |
| 463, 407 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 926,814 By Matching Biggest Common Factor Method
Now, list down the factors of 926
:1,2,463,926
Now, list down the factors of 814
:1,2,11,22,37,74,407,814
Greatest Common Factor
We found the factors 926,814 . The biggest common factor number is the GCF number.
So the greatest common factor 926,814 is 2.
Lets's calculate LCM of 34,814
| 2 | 34, 814 |
| 17, 407 |
∴ So the LCM of the given numbers is 2 x 17 x 407 = 13838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13838
Therefore, the GCF of Fractions 926/34,814/814 is 2/13838
Least Common Multiple of 34,814 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 34,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,814) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(34,814) x common factors =2 x 1 = 2
LCM(34,814) = ( 34 × 814 ) / 2
LCM(34,814) = 27676 / 2
LCM(34,814) = 13838
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FAQs on GCF of Fractions of 926/34, 814/814
1. What is the HCF of 926,814?
The HCF of 926,814 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 926/34, 814/814?
Answer: GCF of Numerators as per given numbers 926/34, 814/814 is
GCF of Numerators i.e. for 926,814 is 2
LCM of denominators i.e. for 34,814 is 13838.
Thus, GCF of Fractions is 2/13838.Finally, GCF of Fractions for 926/34, 814/814 is 2/13838.