GCF of 3973/646, 4131/5142
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3973/646, 4131/5142 i.e 1/1660866 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3973/646, 4131/5142.
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 3973/646,4131/5142?
Given fractions are 3973/646,4131/5142
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 3973/646,4131/5142, numerators are 3973,4131
Denominators are 646,5142
The GCF of 3973,4131 is 1 .
LCM of 646,5142 is 1660866.
The greatest common factor of 3973/646,4131/5142 = [GCF of 3973,4131]/[LCM of 646,5142]= 1/1660866
Therefore, the GCF of 3973/646,4131/5142 is 1/1660866.
To find the highest common factor of 3973,4131, we have to find the factors of both numbers and list the highest common factor.
The factors of 3973 are 1, 29, 137, 3973
The factors of 4131 are 1, 3, 9, 17, 27, 51, 81, 153, 243, 459, 1377, 4131
The HCF of 3973,4131 is 1.
Lets's calculate GCF of 3973,4131
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3973,4131 By Matching Biggest Common Factor Method
Now, list down the factors of 3973
:1,29,137,3973
Now, list down the factors of 4131
:1,3,9,17,27,51,81,153,243,459,1377,4131
Greatest Common Factor
We found the factors 3973,4131 . The biggest common factor number is the GCF number.
So the greatest common factor 3973,4131 is 1.
Lets's calculate LCM of 646,5142
| 2 | 646, 5142 |
| 323, 2571 |
∴ So the LCM of the given numbers is 2 x 323 x 2571 = 1660866
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1660866
Therefore, the GCF of Fractions 3973/646,4131/5142 is 1/1660866
Least Common Multiple of 646,5142 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 646,5142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,5142) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(646,5142) x common factors =2 x 1 = 2
LCM(646,5142) = ( 646 × 5142 ) / 2
LCM(646,5142) = 3321732 / 2
LCM(646,5142) = 1660866
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FAQs on GCF of Fractions of 3973/646, 4131/5142
1. What is the HCF of 3973,4131?
The HCF of 3973,4131 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 3973/646, 4131/5142?
Answer: GCF of Numerators as per given numbers 3973/646, 4131/5142 is
GCF of Numerators i.e. for 3973,4131 is 1
LCM of denominators i.e. for 646,5142 is 1660866.
Thus, GCF of Fractions is 1/1660866.Finally, GCF of Fractions for 3973/646, 4131/5142 is 1/1660866.