GCF of 818/76, 910/14, 198/40
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 818/76, 910/14, 198/40 i.e 2/5320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 818/76, 910/14, 198/40.
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 818/76,910/14,198/40?
Given fractions are 818/76,910/14,198/40
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 818/76,910/14,198/40, numerators are 818,910,198
Denominators are 76,14,40
The GCF of 818,910,198 is 2 .
LCM of 76,14,40 is 5320.
The greatest common factor of 818/76,910/14,198/40 = [GCF of 818,910,198]/[LCM of 76,14,40]= 2/5320
Therefore, the GCF of 818/76,910/14,198/40 is 2/5320.
To find the highest common factor of 818,910,198, we have to find the factors of both numbers and list the highest common factor.
The factors of 818 are 1, 2, 409, 818
The factors of 910 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
The factors of 198 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
The HCF of 818,910,198 is 2.
Lets's calculate GCF of 818,910,198
| 2 | 818, 910, 198 |
| 409, 455, 99 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 818,910,198 By Matching Biggest Common Factor Method
Now, list down the factors of 818
:1,2,409,818
Now, list down the factors of 910
:1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Now, list down the factors of 198
:1,2,3,6,9,11,18,22,33,66,99,198
Greatest Common Factor
We found the factors 818,910,198 . The biggest common factor number is the GCF number.
So the greatest common factor 818,910,198 is 2.
Lets's calculate LCM of 76,14,40
| 2 | 76, 14, 40 |
| 2 | 38, 7, 20 |
| 19, 7, 10 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 7 x 10 = 5320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5320
Therefore, the GCF of Fractions 818/76,910/14,198/40 is 2/5320
Least Common Multiple of 76,14,40 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 76,14,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,14,40) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(76,14,40) x common factors =2 x 4 = 8
LCM(76,14,40) = ( 76 × 14 × 40 ) / 8
LCM(76,14,40) = 42560 / 8
LCM(76,14,40) = 5320
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FAQs on GCF of Fractions of 818/76, 910/14, 198/40
1. What is the HCF of 818,910,198?
The HCF of 818,910,198 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 818/76, 910/14, 198/40?
Answer: GCF of Numerators as per given numbers 818/76, 910/14, 198/40 is
GCF of Numerators i.e. for 818,910,198 is 2
LCM of denominators i.e. for 76,14,40 is 5320.
Thus, GCF of Fractions is 2/5320.Finally, GCF of Fractions for 818/76, 910/14, 198/40 is 2/5320.