GCF of 818/986, 1740/906
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 818/986, 1740/906 i.e 2/446658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 818/986, 1740/906.
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 818/986,1740/906?
Given fractions are 818/986,1740/906
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 818/986,1740/906, numerators are 818,1740
Denominators are 986,906
The GCF of 818,1740 is 2 .
LCM of 986,906 is 446658.
The greatest common factor of 818/986,1740/906 = [GCF of 818,1740]/[LCM of 986,906]= 2/446658
Therefore, the GCF of 818/986,1740/906 is 2/446658.
To find the highest common factor of 818,1740, 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 1740 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 58, 60, 87, 116, 145, 174, 290, 348, 435, 580, 870, 1740
The HCF of 818,1740 is 2.
Lets's calculate GCF of 818,1740
| 2 | 818, 1740 |
| 409, 870 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 818,1740 By Matching Biggest Common Factor Method
Now, list down the factors of 818
:1,2,409,818
Now, list down the factors of 1740
:1,2,3,4,5,6,10,12,15,20,29,30,58,60,87,116,145,174,290,348,435,580,870,1740
Greatest Common Factor
We found the factors 818,1740 . The biggest common factor number is the GCF number.
So the greatest common factor 818,1740 is 2.
Lets's calculate LCM of 986,906
| 2 | 986, 906 |
| 493, 453 |
∴ So the LCM of the given numbers is 2 x 493 x 453 = 446658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/446658
Therefore, the GCF of Fractions 818/986,1740/906 is 2/446658
Least Common Multiple of 986,906 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 986,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,906) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(986,906) x common factors =2 x 1 = 2
LCM(986,906) = ( 986 × 906 ) / 2
LCM(986,906) = 893316 / 2
LCM(986,906) = 446658
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 818/986, 1740/906
1. What is the HCF of 818,1740?
The HCF of 818,1740 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 818/986, 1740/906?
Answer: GCF of Numerators as per given numbers 818/986, 1740/906 is
GCF of Numerators i.e. for 818,1740 is 2
LCM of denominators i.e. for 986,906 is 446658.
Thus, GCF of Fractions is 2/446658.Finally, GCF of Fractions for 818/986, 1740/906 is 2/446658.