GCF of 5590/490, 1734/2182
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5590/490, 1734/2182 i.e 2/534590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5590/490, 1734/2182.
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 5590/490,1734/2182?
Given fractions are 5590/490,1734/2182
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 5590/490,1734/2182, numerators are 5590,1734
Denominators are 490,2182
The GCF of 5590,1734 is 2 .
LCM of 490,2182 is 534590.
The greatest common factor of 5590/490,1734/2182 = [GCF of 5590,1734]/[LCM of 490,2182]= 2/534590
Therefore, the GCF of 5590/490,1734/2182 is 2/534590.
To find the highest common factor of 5590,1734, we have to find the factors of both numbers and list the highest common factor.
The factors of 5590 are 1, 2, 5, 10, 13, 26, 43, 65, 86, 130, 215, 430, 559, 1118, 2795, 5590
The factors of 1734 are 1, 2, 3, 6, 17, 34, 51, 102, 289, 578, 867, 1734
The HCF of 5590,1734 is 2.
Lets's calculate GCF of 5590,1734
| 2 | 5590, 1734 |
| 2795, 867 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5590,1734 By Matching Biggest Common Factor Method
Now, list down the factors of 5590
:1,2,5,10,13,26,43,65,86,130,215,430,559,1118,2795,5590
Now, list down the factors of 1734
:1,2,3,6,17,34,51,102,289,578,867,1734
Greatest Common Factor
We found the factors 5590,1734 . The biggest common factor number is the GCF number.
So the greatest common factor 5590,1734 is 2.
Lets's calculate LCM of 490,2182
| 2 | 490, 2182 |
| 245, 1091 |
∴ So the LCM of the given numbers is 2 x 245 x 1091 = 534590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/534590
Therefore, the GCF of Fractions 5590/490,1734/2182 is 2/534590
Least Common Multiple of 490,2182 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 490,2182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,2182) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(490,2182) x common factors =2 x 1 = 2
LCM(490,2182) = ( 490 × 2182 ) / 2
LCM(490,2182) = 1069180 / 2
LCM(490,2182) = 534590
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5590/490, 1734/2182
1. What is the HCF of 5590,1734?
The HCF of 5590,1734 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 5590/490, 1734/2182?
Answer: GCF of Numerators as per given numbers 5590/490, 1734/2182 is
GCF of Numerators i.e. for 5590,1734 is 2
LCM of denominators i.e. for 490,2182 is 534590.
Thus, GCF of Fractions is 2/534590.Finally, GCF of Fractions for 5590/490, 1734/2182 is 2/534590.