GCF of 6042/651, 5704/1686
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6042/651, 5704/1686 i.e 2/365862 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6042/651, 5704/1686.
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 6042/651,5704/1686?
Given fractions are 6042/651,5704/1686
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 6042/651,5704/1686, numerators are 6042,5704
Denominators are 651,1686
The GCF of 6042,5704 is 2 .
LCM of 651,1686 is 365862.
The greatest common factor of 6042/651,5704/1686 = [GCF of 6042,5704]/[LCM of 651,1686]= 2/365862
Therefore, the GCF of 6042/651,5704/1686 is 2/365862.
To find the highest common factor of 6042,5704, we have to find the factors of both numbers and list the highest common factor.
The factors of 6042 are 1, 2, 3, 6, 19, 38, 53, 57, 106, 114, 159, 318, 1007, 2014, 3021, 6042
The factors of 5704 are 1, 2, 4, 8, 23, 31, 46, 62, 92, 124, 184, 248, 713, 1426, 2852, 5704
The HCF of 6042,5704 is 2.
Lets's calculate GCF of 6042,5704
| 2 | 6042, 5704 |
| 3021, 2852 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6042,5704 By Matching Biggest Common Factor Method
Now, list down the factors of 6042
:1,2,3,6,19,38,53,57,106,114,159,318,1007,2014,3021,6042
Now, list down the factors of 5704
:1,2,4,8,23,31,46,62,92,124,184,248,713,1426,2852,5704
Greatest Common Factor
We found the factors 6042,5704 . The biggest common factor number is the GCF number.
So the greatest common factor 6042,5704 is 2.
Lets's calculate LCM of 651,1686
| 3 | 651, 1686 |
| 217, 562 |
∴ So the LCM of the given numbers is 3 x 217 x 562 = 365862
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/365862
Therefore, the GCF of Fractions 6042/651,5704/1686 is 2/365862
Least Common Multiple of 651,1686 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 651,1686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,1686) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(651,1686) x common factors =3 x 1 = 3
LCM(651,1686) = ( 651 × 1686 ) / 3
LCM(651,1686) = 1097586 / 3
LCM(651,1686) = 365862
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FAQs on GCF of Fractions of 6042/651, 5704/1686
1. What is the HCF of 6042,5704?
The HCF of 6042,5704 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 6042/651, 5704/1686?
Answer: GCF of Numerators as per given numbers 6042/651, 5704/1686 is
GCF of Numerators i.e. for 6042,5704 is 2
LCM of denominators i.e. for 651,1686 is 365862.
Thus, GCF of Fractions is 2/365862.Finally, GCF of Fractions for 6042/651, 5704/1686 is 2/365862.