GCF of 814/385, 7466/896
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 814/385, 7466/896 i.e 2/49280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 814/385, 7466/896.
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 814/385,7466/896?
Given fractions are 814/385,7466/896
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 814/385,7466/896, numerators are 814,7466
Denominators are 385,896
The GCF of 814,7466 is 2 .
LCM of 385,896 is 49280.
The greatest common factor of 814/385,7466/896 = [GCF of 814,7466]/[LCM of 385,896]= 2/49280
Therefore, the GCF of 814/385,7466/896 is 2/49280.
To find the highest common factor of 814,7466, we have to find the factors of both numbers and list the highest common factor.
The factors of 814 are 1, 2, 11, 22, 37, 74, 407, 814
The factors of 7466 are 1, 2, 3733, 7466
The HCF of 814,7466 is 2.
Lets's calculate GCF of 814,7466
| 2 | 814, 7466 |
| 407, 3733 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 814,7466 By Matching Biggest Common Factor Method
Now, list down the factors of 814
:1,2,11,22,37,74,407,814
Now, list down the factors of 7466
:1,2,3733,7466
Greatest Common Factor
We found the factors 814,7466 . The biggest common factor number is the GCF number.
So the greatest common factor 814,7466 is 2.
Lets's calculate LCM of 385,896
| 7 | 385, 896 |
| 55, 128 |
∴ So the LCM of the given numbers is 7 x 55 x 128 = 49280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/49280
Therefore, the GCF of Fractions 814/385,7466/896 is 2/49280
Least Common Multiple of 385,896 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 385,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,896) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(385,896) x common factors =7 x 1 = 7
LCM(385,896) = ( 385 × 896 ) / 7
LCM(385,896) = 344960 / 7
LCM(385,896) = 49280
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FAQs on GCF of Fractions of 814/385, 7466/896
1. What is the HCF of 814,7466?
The HCF of 814,7466 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 814/385, 7466/896?
Answer: GCF of Numerators as per given numbers 814/385, 7466/896 is
GCF of Numerators i.e. for 814,7466 is 2
LCM of denominators i.e. for 385,896 is 49280.
Thus, GCF of Fractions is 2/49280.Finally, GCF of Fractions for 814/385, 7466/896 is 2/49280.