GCF of 660/812, 285/154, 346/814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 660/812, 285/154, 346/814 i.e 1/330484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 660/812, 285/154, 346/814.
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 660/812,285/154,346/814?
Given fractions are 660/812,285/154,346/814
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 660/812,285/154,346/814, numerators are 660,285,346
Denominators are 812,154,814
The GCF of 660,285,346 is 1 .
LCM of 812,154,814 is 330484.
The greatest common factor of 660/812,285/154,346/814 = [GCF of 660,285,346]/[LCM of 812,154,814]= 1/330484
Therefore, the GCF of 660/812,285/154,346/814 is 1/330484.
To find the highest common factor of 660,285,346, we have to find the factors of both numbers and list the highest common factor.
The factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
The factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285
The factors of 346 are 1, 2, 173, 346
The HCF of 660,285,346 is 1.
Lets's calculate GCF of 660,285,346
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 660,285,346 By Matching Biggest Common Factor Method
Now, list down the factors of 660
:1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Now, list down the factors of 285
:1,3,5,15,19,57,95,285
Now, list down the factors of 346
:1,2,173,346
Greatest Common Factor
We found the factors 660,285,346 . The biggest common factor number is the GCF number.
So the greatest common factor 660,285,346 is 1.
Lets's calculate LCM of 812,154,814
| 2 | 812, 154, 814 |
| 7 | 406, 77, 407 |
| 11 | 58, 11, 407 |
| 58, 1, 37 |
∴ So the LCM of the given numbers is 2 x 7 x 11 x 58 x 1 x 37 = 330484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/330484
Therefore, the GCF of Fractions 660/812,285/154,346/814 is 1/330484
Least Common Multiple of 812,154,814 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 812,154,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,154,814) = 2
common factors(in case of two or more numbers have common factors) = 154
GCF(812,154,814) x common factors =2 x 154 = 308
LCM(812,154,814) = ( 812 × 154 × 814 ) / 308
LCM(812,154,814) = 101789072 / 308
LCM(812,154,814) = 330484
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FAQs on GCF of Fractions of 660/812, 285/154, 346/814
1. What is the HCF of 660,285,346?
The HCF of 660,285,346 is 1
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 660/812, 285/154, 346/814?
Answer: GCF of Numerators as per given numbers 660/812, 285/154, 346/814 is
GCF of Numerators i.e. for 660,285,346 is 1
LCM of denominators i.e. for 812,154,814 is 330484.
Thus, GCF of Fractions is 1/330484.Finally, GCF of Fractions for 660/812, 285/154, 346/814 is 1/330484.