GCF of 471/140, 9042/686
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 471/140, 9042/686 i.e 3/6860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 471/140, 9042/686.
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 471/140,9042/686?
Given fractions are 471/140,9042/686
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 471/140,9042/686, numerators are 471,9042
Denominators are 140,686
The GCF of 471,9042 is 3 .
LCM of 140,686 is 6860.
The greatest common factor of 471/140,9042/686 = [GCF of 471,9042]/[LCM of 140,686]= 3/6860
Therefore, the GCF of 471/140,9042/686 is 3/6860.
To find the highest common factor of 471,9042, we have to find the factors of both numbers and list the highest common factor.
The factors of 471 are 1, 3, 157, 471
The factors of 9042 are 1, 2, 3, 6, 11, 22, 33, 66, 137, 274, 411, 822, 1507, 3014, 4521, 9042
The HCF of 471,9042 is 3.
Lets's calculate GCF of 471,9042
| 3 | 471, 9042 |
| 157, 3014 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 471,9042 By Matching Biggest Common Factor Method
Now, list down the factors of 471
:1,3,157,471
Now, list down the factors of 9042
:1,2,3,6,11,22,33,66,137,274,411,822,1507,3014,4521,9042
Greatest Common Factor
We found the factors 471,9042 . The biggest common factor number is the GCF number.
So the greatest common factor 471,9042 is 3.
Lets's calculate LCM of 140,686
| 2 | 140, 686 |
| 7 | 70, 343 |
| 10, 49 |
∴ So the LCM of the given numbers is 2 x 7 x 10 x 49 = 6860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6860
Therefore, the GCF of Fractions 471/140,9042/686 is 3/6860
Least Common Multiple of 140,686 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 140,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,686) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(140,686) x common factors =14 x 1 = 14
LCM(140,686) = ( 140 × 686 ) / 14
LCM(140,686) = 96040 / 14
LCM(140,686) = 6860
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FAQs on GCF of Fractions of 471/140, 9042/686
1. What is the HCF of 471,9042?
The HCF of 471,9042 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 471/140, 9042/686?
Answer: GCF of Numerators as per given numbers 471/140, 9042/686 is
GCF of Numerators i.e. for 471,9042 is 3
LCM of denominators i.e. for 140,686 is 6860.
Thus, GCF of Fractions is 3/6860.Finally, GCF of Fractions for 471/140, 9042/686 is 3/6860.