GCF of 4842/614, 8694/843
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4842/614, 8694/843 i.e 18/517602 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4842/614, 8694/843.
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 4842/614,8694/843?
Given fractions are 4842/614,8694/843
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 4842/614,8694/843, numerators are 4842,8694
Denominators are 614,843
The GCF of 4842,8694 is 18 .
LCM of 614,843 is 517602.
The greatest common factor of 4842/614,8694/843 = [GCF of 4842,8694]/[LCM of 614,843]= 18/517602
Therefore, the GCF of 4842/614,8694/843 is 18/517602.
To find the highest common factor of 4842,8694, we have to find the factors of both numbers and list the highest common factor.
The factors of 4842 are 1, 2, 3, 6, 9, 18, 269, 538, 807, 1614, 2421, 4842
The factors of 8694 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 27, 42, 46, 54, 63, 69, 126, 138, 161, 189, 207, 322, 378, 414, 483, 621, 966, 1242, 1449, 2898, 4347, 8694
The HCF of 4842,8694 is 18.
Lets's calculate GCF of 4842,8694
| 2 | 4842, 8694 |
| 3 | 2421, 4347 |
| 3 | 807, 1449 |
| 269, 483 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 4842,8694 By Matching Biggest Common Factor Method
Now, list down the factors of 4842
:1,2,3,6,9,18,269,538,807,1614,2421,4842
Now, list down the factors of 8694
:1,2,3,6,7,9,14,18,21,23,27,42,46,54,63,69,126,138,161,189,207,322,378,414,483,621,966,1242,1449,2898,4347,8694
Greatest Common Factor
We found the factors 4842,8694 . The biggest common factor number is the GCF number.
So the greatest common factor 4842,8694 is 18.
Lets's calculate LCM of 614,843
Given numbers has no common factors except 1. So, there LCM is their product i.e 517602
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/517602
Therefore, the GCF of Fractions 4842/614,8694/843 is 18/517602
Least Common Multiple of 614,843 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 614,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,843) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(614,843) x common factors =1 x 1 = 1
LCM(614,843) = ( 614 × 843 ) / 1
LCM(614,843) = 517602 / 1
LCM(614,843) = 517602
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FAQs on GCF of Fractions of 4842/614, 8694/843
1. What is the HCF of 4842,8694?
The HCF of 4842,8694 is 18
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 4842/614, 8694/843?
Answer: GCF of Numerators as per given numbers 4842/614, 8694/843 is
GCF of Numerators i.e. for 4842,8694 is 18
LCM of denominators i.e. for 614,843 is 517602.
Thus, GCF of Fractions is 18/517602.Finally, GCF of Fractions for 4842/614, 8694/843 is 18/517602.