GCF of 918/19, 309/1789
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 918/19, 309/1789 i.e 3/33991 easily. The following is the detailed procedure to determine the greatest common factor of fractions 918/19, 309/1789.
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 918/19,309/1789?
Given fractions are 918/19,309/1789
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 918/19,309/1789, numerators are 918,309
Denominators are 19,1789
The GCF of 918,309 is 3 .
LCM of 19,1789 is 33991.
The greatest common factor of 918/19,309/1789 = [GCF of 918,309]/[LCM of 19,1789]= 3/33991
Therefore, the GCF of 918/19,309/1789 is 3/33991.
To find the highest common factor of 918,309, we have to find the factors of both numbers and list the highest common factor.
The factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
The factors of 309 are 1, 3, 103, 309
The HCF of 918,309 is 3.
Lets's calculate GCF of 918,309
| 3 | 918, 309 |
| 306, 103 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 918,309 By Matching Biggest Common Factor Method
Now, list down the factors of 918
:1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Now, list down the factors of 309
:1,3,103,309
Greatest Common Factor
We found the factors 918,309 . The biggest common factor number is the GCF number.
So the greatest common factor 918,309 is 3.
Lets's calculate LCM of 19,1789
Given numbers has no common factors except 1. So, there LCM is their product i.e 33991
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/33991
Therefore, the GCF of Fractions 918/19,309/1789 is 3/33991
Least Common Multiple of 19,1789 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 19,1789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,1789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,1789) x common factors =1 x 1 = 1
LCM(19,1789) = ( 19 × 1789 ) / 1
LCM(19,1789) = 33991 / 1
LCM(19,1789) = 33991
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FAQs on GCF of Fractions of 918/19, 309/1789
1. What is the HCF of 918,309?
The HCF of 918,309 is 3
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 918/19, 309/1789?
Answer: GCF of Numerators as per given numbers 918/19, 309/1789 is
GCF of Numerators i.e. for 918,309 is 3
LCM of denominators i.e. for 19,1789 is 33991.
Thus, GCF of Fractions is 3/33991.Finally, GCF of Fractions for 918/19, 309/1789 is 3/33991.