GCF of 4686/648, 7140/6368
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4686/648, 7140/6368 i.e 6/515808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4686/648, 7140/6368.
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 4686/648,7140/6368?
Given fractions are 4686/648,7140/6368
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 4686/648,7140/6368, numerators are 4686,7140
Denominators are 648,6368
The GCF of 4686,7140 is 6 .
LCM of 648,6368 is 515808.
The greatest common factor of 4686/648,7140/6368 = [GCF of 4686,7140]/[LCM of 648,6368]= 6/515808
Therefore, the GCF of 4686/648,7140/6368 is 6/515808.
To find the highest common factor of 4686,7140, we have to find the factors of both numbers and list the highest common factor.
The factors of 4686 are 1, 2, 3, 6, 11, 22, 33, 66, 71, 142, 213, 426, 781, 1562, 2343, 4686
The factors of 7140 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 17, 20, 21, 28, 30, 34, 35, 42, 51, 60, 68, 70, 84, 85, 102, 105, 119, 140, 170, 204, 210, 238, 255, 340, 357, 420, 476, 510, 595, 714, 1020, 1190, 1428, 1785, 2380, 3570, 7140
The HCF of 4686,7140 is 6.
Lets's calculate GCF of 4686,7140
| 2 | 4686, 7140 |
| 3 | 2343, 3570 |
| 781, 1190 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4686,7140 By Matching Biggest Common Factor Method
Now, list down the factors of 4686
:1,2,3,6,11,22,33,66,71,142,213,426,781,1562,2343,4686
Now, list down the factors of 7140
:1,2,3,4,5,6,7,10,12,14,15,17,20,21,28,30,34,35,42,51,60,68,70,84,85,102,105,119,140,170,204,210,238,255,340,357,420,476,510,595,714,1020,1190,1428,1785,2380,3570,7140
Greatest Common Factor
We found the factors 4686,7140 . The biggest common factor number is the GCF number.
So the greatest common factor 4686,7140 is 6.
Lets's calculate LCM of 648,6368
| 2 | 648, 6368 |
| 2 | 324, 3184 |
| 2 | 162, 1592 |
| 81, 796 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 81 x 796 = 515808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/515808
Therefore, the GCF of Fractions 4686/648,7140/6368 is 6/515808
Least Common Multiple of 648,6368 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 648,6368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,6368) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(648,6368) x common factors =8 x 1 = 8
LCM(648,6368) = ( 648 × 6368 ) / 8
LCM(648,6368) = 4126464 / 8
LCM(648,6368) = 515808
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FAQs on GCF of Fractions of 4686/648, 7140/6368
1. What is the HCF of 4686,7140?
The HCF of 4686,7140 is 6
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 4686/648, 7140/6368?
Answer: GCF of Numerators as per given numbers 4686/648, 7140/6368 is
GCF of Numerators i.e. for 4686,7140 is 6
LCM of denominators i.e. for 648,6368 is 515808.
Thus, GCF of Fractions is 6/515808.Finally, GCF of Fractions for 4686/648, 7140/6368 is 6/515808.