GCF of 4029/658, 6646/329
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4029/658, 6646/329 i.e 1/658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4029/658, 6646/329.
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 4029/658,6646/329?
Given fractions are 4029/658,6646/329
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 4029/658,6646/329, numerators are 4029,6646
Denominators are 658,329
The GCF of 4029,6646 is 1 .
LCM of 658,329 is 658.
The greatest common factor of 4029/658,6646/329 = [GCF of 4029,6646]/[LCM of 658,329]= 1/658
Therefore, the GCF of 4029/658,6646/329 is 1/658.
To find the highest common factor of 4029,6646, we have to find the factors of both numbers and list the highest common factor.
The factors of 4029 are 1, 3, 17, 51, 79, 237, 1343, 4029
The factors of 6646 are 1, 2, 3323, 6646
The HCF of 4029,6646 is 1.
Lets's calculate GCF of 4029,6646
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4029,6646 By Matching Biggest Common Factor Method
Now, list down the factors of 4029
:1,3,17,51,79,237,1343,4029
Now, list down the factors of 6646
:1,2,3323,6646
Greatest Common Factor
We found the factors 4029,6646 . The biggest common factor number is the GCF number.
So the greatest common factor 4029,6646 is 1.
Lets's calculate LCM of 658,329
| 7 | 658, 329 |
| 47 | 94, 47 |
| 2, 1 |
∴ So the LCM of the given numbers is 7 x 47 x 2 x 1 = 658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/658
Therefore, the GCF of Fractions 4029/658,6646/329 is 1/658
Least Common Multiple of 658,329 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 658,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,329) = 329
common factors(in case of two or more numbers have common factors) = 1
GCF(658,329) x common factors =329 x 1 = 329
LCM(658,329) = ( 658 × 329 ) / 329
LCM(658,329) = 216482 / 329
LCM(658,329) = 658
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FAQs on GCF of Fractions of 4029/658, 6646/329
1. What is the HCF of 4029,6646?
The HCF of 4029,6646 is 1
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 4029/658, 6646/329?
Answer: GCF of Numerators as per given numbers 4029/658, 6646/329 is
GCF of Numerators i.e. for 4029,6646 is 1
LCM of denominators i.e. for 658,329 is 658.
Thus, GCF of Fractions is 1/658.Finally, GCF of Fractions for 4029/658, 6646/329 is 1/658.