GCF of 814/996, 6765/285
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 814/996, 6765/285 i.e 11/94620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 814/996, 6765/285.
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 814/996,6765/285?
Given fractions are 814/996,6765/285
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 814/996,6765/285, numerators are 814,6765
Denominators are 996,285
The GCF of 814,6765 is 11 .
LCM of 996,285 is 94620.
The greatest common factor of 814/996,6765/285 = [GCF of 814,6765]/[LCM of 996,285]= 11/94620
Therefore, the GCF of 814/996,6765/285 is 11/94620.
To find the highest common factor of 814,6765, 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 6765 are 1, 3, 5, 11, 15, 33, 41, 55, 123, 165, 205, 451, 615, 1353, 2255, 6765
The HCF of 814,6765 is 11.
Lets's calculate GCF of 814,6765
| 11 | 814, 6765 |
| 74, 615 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 814,6765 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 6765
:1,3,5,11,15,33,41,55,123,165,205,451,615,1353,2255,6765
Greatest Common Factor
We found the factors 814,6765 . The biggest common factor number is the GCF number.
So the greatest common factor 814,6765 is 11.
Lets's calculate LCM of 996,285
| 3 | 996, 285 |
| 332, 95 |
∴ So the LCM of the given numbers is 3 x 332 x 95 = 94620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/94620
Therefore, the GCF of Fractions 814/996,6765/285 is 11/94620
Least Common Multiple of 996,285 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 996,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(996,285) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(996,285) x common factors =3 x 1 = 3
LCM(996,285) = ( 996 × 285 ) / 3
LCM(996,285) = 283860 / 3
LCM(996,285) = 94620
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FAQs on GCF of Fractions of 814/996, 6765/285
1. What is the HCF of 814,6765?
The HCF of 814,6765 is 11
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 814/996, 6765/285?
Answer: GCF of Numerators as per given numbers 814/996, 6765/285 is
GCF of Numerators i.e. for 814,6765 is 11
LCM of denominators i.e. for 996,285 is 94620.
Thus, GCF of Fractions is 11/94620.Finally, GCF of Fractions for 814/996, 6765/285 is 11/94620.