GCF of 4129/460, 1146/4242
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4129/460, 1146/4242 i.e 1/975660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4129/460, 1146/4242.
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 4129/460,1146/4242?
Given fractions are 4129/460,1146/4242
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 4129/460,1146/4242, numerators are 4129,1146
Denominators are 460,4242
The GCF of 4129,1146 is 1 .
LCM of 460,4242 is 975660.
The greatest common factor of 4129/460,1146/4242 = [GCF of 4129,1146]/[LCM of 460,4242]= 1/975660
Therefore, the GCF of 4129/460,1146/4242 is 1/975660.
To find the highest common factor of 4129,1146, we have to find the factors of both numbers and list the highest common factor.
The factors of 4129 are 1, 4129
The factors of 1146 are 1, 2, 3, 6, 191, 382, 573, 1146
The HCF of 4129,1146 is 1.
Lets's calculate GCF of 4129,1146
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4129,1146 By Matching Biggest Common Factor Method
Now, list down the factors of 4129
:1,4129
Now, list down the factors of 1146
:1,2,3,6,191,382,573,1146
Greatest Common Factor
We found the factors 4129,1146 . The biggest common factor number is the GCF number.
So the greatest common factor 4129,1146 is 1.
Lets's calculate LCM of 460,4242
| 2 | 460, 4242 |
| 230, 2121 |
∴ So the LCM of the given numbers is 2 x 230 x 2121 = 975660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/975660
Therefore, the GCF of Fractions 4129/460,1146/4242 is 1/975660
Least Common Multiple of 460,4242 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 460,4242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,4242) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(460,4242) x common factors =2 x 1 = 2
LCM(460,4242) = ( 460 × 4242 ) / 2
LCM(460,4242) = 1951320 / 2
LCM(460,4242) = 975660
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FAQs on GCF of Fractions of 4129/460, 1146/4242
1. What is the HCF of 4129,1146?
The HCF of 4129,1146 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 4129/460, 1146/4242?
Answer: GCF of Numerators as per given numbers 4129/460, 1146/4242 is
GCF of Numerators i.e. for 4129,1146 is 1
LCM of denominators i.e. for 460,4242 is 975660.
Thus, GCF of Fractions is 1/975660.Finally, GCF of Fractions for 4129/460, 1146/4242 is 1/975660.