GCF of 4524/489, 3141/643
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4524/489, 3141/643 i.e 3/314427 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4524/489, 3141/643.
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 4524/489,3141/643?
Given fractions are 4524/489,3141/643
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 4524/489,3141/643, numerators are 4524,3141
Denominators are 489,643
The GCF of 4524,3141 is 3 .
LCM of 489,643 is 314427.
The greatest common factor of 4524/489,3141/643 = [GCF of 4524,3141]/[LCM of 489,643]= 3/314427
Therefore, the GCF of 4524/489,3141/643 is 3/314427.
To find the highest common factor of 4524,3141, we have to find the factors of both numbers and list the highest common factor.
The factors of 4524 are 1, 2, 3, 4, 6, 12, 13, 26, 29, 39, 52, 58, 78, 87, 116, 156, 174, 348, 377, 754, 1131, 1508, 2262, 4524
The factors of 3141 are 1, 3, 9, 349, 1047, 3141
The HCF of 4524,3141 is 3.
Lets's calculate GCF of 4524,3141
| 3 | 4524, 3141 |
| 1508, 1047 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4524,3141 By Matching Biggest Common Factor Method
Now, list down the factors of 4524
:1,2,3,4,6,12,13,26,29,39,52,58,78,87,116,156,174,348,377,754,1131,1508,2262,4524
Now, list down the factors of 3141
:1,3,9,349,1047,3141
Greatest Common Factor
We found the factors 4524,3141 . The biggest common factor number is the GCF number.
So the greatest common factor 4524,3141 is 3.
Lets's calculate LCM of 489,643
Given numbers has no common factors except 1. So, there LCM is their product i.e 314427
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/314427
Therefore, the GCF of Fractions 4524/489,3141/643 is 3/314427
Least Common Multiple of 489,643 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 489,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,643) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(489,643) x common factors =1 x 1 = 1
LCM(489,643) = ( 489 × 643 ) / 1
LCM(489,643) = 314427 / 1
LCM(489,643) = 314427
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FAQs on GCF of Fractions of 4524/489, 3141/643
1. What is the HCF of 4524,3141?
The HCF of 4524,3141 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 4524/489, 3141/643?
Answer: GCF of Numerators as per given numbers 4524/489, 3141/643 is
GCF of Numerators i.e. for 4524,3141 is 3
LCM of denominators i.e. for 489,643 is 314427.
Thus, GCF of Fractions is 3/314427.Finally, GCF of Fractions for 4524/489, 3141/643 is 3/314427.