GCF of 4081/976, 6725/3012
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4081/976, 6725/3012 i.e 1/734928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4081/976, 6725/3012.
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 4081/976,6725/3012?
Given fractions are 4081/976,6725/3012
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 4081/976,6725/3012, numerators are 4081,6725
Denominators are 976,3012
The GCF of 4081,6725 is 1 .
LCM of 976,3012 is 734928.
The greatest common factor of 4081/976,6725/3012 = [GCF of 4081,6725]/[LCM of 976,3012]= 1/734928
Therefore, the GCF of 4081/976,6725/3012 is 1/734928.
To find the highest common factor of 4081,6725, we have to find the factors of both numbers and list the highest common factor.
The factors of 4081 are 1, 7, 11, 53, 77, 371, 583, 4081
The factors of 6725 are 1, 5, 25, 269, 1345, 6725
The HCF of 4081,6725 is 1.
Lets's calculate GCF of 4081,6725
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4081,6725 By Matching Biggest Common Factor Method
Now, list down the factors of 4081
:1,7,11,53,77,371,583,4081
Now, list down the factors of 6725
:1,5,25,269,1345,6725
Greatest Common Factor
We found the factors 4081,6725 . The biggest common factor number is the GCF number.
So the greatest common factor 4081,6725 is 1.
Lets's calculate LCM of 976,3012
| 2 | 976, 3012 |
| 2 | 488, 1506 |
| 244, 753 |
∴ So the LCM of the given numbers is 2 x 2 x 244 x 753 = 734928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/734928
Therefore, the GCF of Fractions 4081/976,6725/3012 is 1/734928
Least Common Multiple of 976,3012 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 976,3012 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,3012) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(976,3012) x common factors =4 x 1 = 4
LCM(976,3012) = ( 976 × 3012 ) / 4
LCM(976,3012) = 2939712 / 4
LCM(976,3012) = 734928
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FAQs on GCF of Fractions of 4081/976, 6725/3012
1. What is the HCF of 4081,6725?
The HCF of 4081,6725 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 4081/976, 6725/3012?
Answer: GCF of Numerators as per given numbers 4081/976, 6725/3012 is
GCF of Numerators i.e. for 4081,6725 is 1
LCM of denominators i.e. for 976,3012 is 734928.
Thus, GCF of Fractions is 1/734928.Finally, GCF of Fractions for 4081/976, 6725/3012 is 1/734928.