GCF of 2346/330, 1703/5546
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2346/330, 1703/5546 i.e 1/915090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2346/330, 1703/5546.
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 2346/330,1703/5546?
Given fractions are 2346/330,1703/5546
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 2346/330,1703/5546, numerators are 2346,1703
Denominators are 330,5546
The GCF of 2346,1703 is 1 .
LCM of 330,5546 is 915090.
The greatest common factor of 2346/330,1703/5546 = [GCF of 2346,1703]/[LCM of 330,5546]= 1/915090
Therefore, the GCF of 2346/330,1703/5546 is 1/915090.
To find the highest common factor of 2346,1703, we have to find the factors of both numbers and list the highest common factor.
The factors of 2346 are 1, 2, 3, 6, 17, 23, 34, 46, 51, 69, 102, 138, 391, 782, 1173, 2346
The factors of 1703 are 1, 13, 131, 1703
The HCF of 2346,1703 is 1.
Lets's calculate GCF of 2346,1703
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2346,1703 By Matching Biggest Common Factor Method
Now, list down the factors of 2346
:1,2,3,6,17,23,34,46,51,69,102,138,391,782,1173,2346
Now, list down the factors of 1703
:1,13,131,1703
Greatest Common Factor
We found the factors 2346,1703 . The biggest common factor number is the GCF number.
So the greatest common factor 2346,1703 is 1.
Lets's calculate LCM of 330,5546
| 2 | 330, 5546 |
| 165, 2773 |
∴ So the LCM of the given numbers is 2 x 165 x 2773 = 915090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/915090
Therefore, the GCF of Fractions 2346/330,1703/5546 is 1/915090
Least Common Multiple of 330,5546 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 330,5546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,5546) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(330,5546) x common factors =2 x 1 = 2
LCM(330,5546) = ( 330 × 5546 ) / 2
LCM(330,5546) = 1830180 / 2
LCM(330,5546) = 915090
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FAQs on GCF of Fractions of 2346/330, 1703/5546
1. What is the HCF of 2346,1703?
The HCF of 2346,1703 is 1
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 2346/330, 1703/5546?
Answer: GCF of Numerators as per given numbers 2346/330, 1703/5546 is
GCF of Numerators i.e. for 2346,1703 is 1
LCM of denominators i.e. for 330,5546 is 915090.
Thus, GCF of Fractions is 1/915090.Finally, GCF of Fractions for 2346/330, 1703/5546 is 1/915090.