GCF of 666/88, 814/1328
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 666/88, 814/1328 i.e 74/14608 easily. The following is the detailed procedure to determine the greatest common factor of fractions 666/88, 814/1328.
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 666/88,814/1328?
Given fractions are 666/88,814/1328
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 666/88,814/1328, numerators are 666,814
Denominators are 88,1328
The GCF of 666,814 is 74 .
LCM of 88,1328 is 14608.
The greatest common factor of 666/88,814/1328 = [GCF of 666,814]/[LCM of 88,1328]= 74/14608
Therefore, the GCF of 666/88,814/1328 is 74/14608.
To find the highest common factor of 666,814, we have to find the factors of both numbers and list the highest common factor.
The factors of 666 are 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
The factors of 814 are 1, 2, 11, 22, 37, 74, 407, 814
The HCF of 666,814 is 74.
Lets's calculate GCF of 666,814
| 2 | 666, 814 |
| 37 | 333, 407 |
| 9, 11 |
∴ So the GCF of the given numbers is 2 x 37 = 74
Greatest Common Factor of 666,814 By Matching Biggest Common Factor Method
Now, list down the factors of 666
:1,2,3,6,9,18,37,74,111,222,333,666
Now, list down the factors of 814
:1,2,11,22,37,74,407,814
Greatest Common Factor
We found the factors 666,814 . The biggest common factor number is the GCF number.
So the greatest common factor 666,814 is 74.
Lets's calculate LCM of 88,1328
| 2 | 88, 1328 |
| 2 | 44, 664 |
| 2 | 22, 332 |
| 11, 166 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 166 = 14608
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 74/14608
Therefore, the GCF of Fractions 666/88,814/1328 is 74/14608
Least Common Multiple of 88,1328 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 88,1328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,1328) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(88,1328) x common factors =8 x 1 = 8
LCM(88,1328) = ( 88 × 1328 ) / 8
LCM(88,1328) = 116864 / 8
LCM(88,1328) = 14608
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FAQs on GCF of Fractions of 666/88, 814/1328
1. What is the HCF of 666,814?
The HCF of 666,814 is 74
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 666/88, 814/1328?
Answer: GCF of Numerators as per given numbers 666/88, 814/1328 is
GCF of Numerators i.e. for 666,814 is 74
LCM of denominators i.e. for 88,1328 is 14608.
Thus, GCF of Fractions is 74/14608.Finally, GCF of Fractions for 666/88, 814/1328 is 74/14608.