GCF of 2031/343, 1518/1753
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2031/343, 1518/1753 i.e 3/601279 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2031/343, 1518/1753.
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 2031/343,1518/1753?
Given fractions are 2031/343,1518/1753
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 2031/343,1518/1753, numerators are 2031,1518
Denominators are 343,1753
The GCF of 2031,1518 is 3 .
LCM of 343,1753 is 601279.
The greatest common factor of 2031/343,1518/1753 = [GCF of 2031,1518]/[LCM of 343,1753]= 3/601279
Therefore, the GCF of 2031/343,1518/1753 is 3/601279.
To find the highest common factor of 2031,1518, we have to find the factors of both numbers and list the highest common factor.
The factors of 2031 are 1, 3, 677, 2031
The factors of 1518 are 1, 2, 3, 6, 11, 22, 23, 33, 46, 66, 69, 138, 253, 506, 759, 1518
The HCF of 2031,1518 is 3.
Lets's calculate GCF of 2031,1518
| 3 | 2031, 1518 |
| 677, 506 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2031,1518 By Matching Biggest Common Factor Method
Now, list down the factors of 2031
:1,3,677,2031
Now, list down the factors of 1518
:1,2,3,6,11,22,23,33,46,66,69,138,253,506,759,1518
Greatest Common Factor
We found the factors 2031,1518 . The biggest common factor number is the GCF number.
So the greatest common factor 2031,1518 is 3.
Lets's calculate LCM of 343,1753
Given numbers has no common factors except 1. So, there LCM is their product i.e 601279
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/601279
Therefore, the GCF of Fractions 2031/343,1518/1753 is 3/601279
Least Common Multiple of 343,1753 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 343,1753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,1753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(343,1753) x common factors =1 x 1 = 1
LCM(343,1753) = ( 343 × 1753 ) / 1
LCM(343,1753) = 601279 / 1
LCM(343,1753) = 601279
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FAQs on GCF of Fractions of 2031/343, 1518/1753
1. What is the HCF of 2031,1518?
The HCF of 2031,1518 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 2031/343, 1518/1753?
Answer: GCF of Numerators as per given numbers 2031/343, 1518/1753 is
GCF of Numerators i.e. for 2031,1518 is 3
LCM of denominators i.e. for 343,1753 is 601279.
Thus, GCF of Fractions is 3/601279.Finally, GCF of Fractions for 2031/343, 1518/1753 is 3/601279.