GCF of 5060/230, 1606/2918
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5060/230, 1606/2918 i.e 22/335570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5060/230, 1606/2918.
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 5060/230,1606/2918?
Given fractions are 5060/230,1606/2918
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 5060/230,1606/2918, numerators are 5060,1606
Denominators are 230,2918
The GCF of 5060,1606 is 22 .
LCM of 230,2918 is 335570.
The greatest common factor of 5060/230,1606/2918 = [GCF of 5060,1606]/[LCM of 230,2918]= 22/335570
Therefore, the GCF of 5060/230,1606/2918 is 22/335570.
To find the highest common factor of 5060,1606, we have to find the factors of both numbers and list the highest common factor.
The factors of 5060 are 1, 2, 4, 5, 10, 11, 20, 22, 23, 44, 46, 55, 92, 110, 115, 220, 230, 253, 460, 506, 1012, 1265, 2530, 5060
The factors of 1606 are 1, 2, 11, 22, 73, 146, 803, 1606
The HCF of 5060,1606 is 22.
Lets's calculate GCF of 5060,1606
| 2 | 5060, 1606 |
| 11 | 2530, 803 |
| 230, 73 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 5060,1606 By Matching Biggest Common Factor Method
Now, list down the factors of 5060
:1,2,4,5,10,11,20,22,23,44,46,55,92,110,115,220,230,253,460,506,1012,1265,2530,5060
Now, list down the factors of 1606
:1,2,11,22,73,146,803,1606
Greatest Common Factor
We found the factors 5060,1606 . The biggest common factor number is the GCF number.
So the greatest common factor 5060,1606 is 22.
Lets's calculate LCM of 230,2918
| 2 | 230, 2918 |
| 115, 1459 |
∴ So the LCM of the given numbers is 2 x 115 x 1459 = 335570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/335570
Therefore, the GCF of Fractions 5060/230,1606/2918 is 22/335570
Least Common Multiple of 230,2918 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 230,2918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(230,2918) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(230,2918) x common factors =2 x 1 = 2
LCM(230,2918) = ( 230 × 2918 ) / 2
LCM(230,2918) = 671140 / 2
LCM(230,2918) = 335570
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FAQs on GCF of Fractions of 5060/230, 1606/2918
1. What is the HCF of 5060,1606?
The HCF of 5060,1606 is 22
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 5060/230, 1606/2918?
Answer: GCF of Numerators as per given numbers 5060/230, 1606/2918 is
GCF of Numerators i.e. for 5060,1606 is 22
LCM of denominators i.e. for 230,2918 is 335570.
Thus, GCF of Fractions is 22/335570.Finally, GCF of Fractions for 5060/230, 1606/2918 is 22/335570.