GCF of 4038/108, 4012/7359
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4038/108, 4012/7359 i.e 2/264924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4038/108, 4012/7359.
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 4038/108,4012/7359?
Given fractions are 4038/108,4012/7359
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 4038/108,4012/7359, numerators are 4038,4012
Denominators are 108,7359
The GCF of 4038,4012 is 2 .
LCM of 108,7359 is 264924.
The greatest common factor of 4038/108,4012/7359 = [GCF of 4038,4012]/[LCM of 108,7359]= 2/264924
Therefore, the GCF of 4038/108,4012/7359 is 2/264924.
To find the highest common factor of 4038,4012, we have to find the factors of both numbers and list the highest common factor.
The factors of 4038 are 1, 2, 3, 6, 673, 1346, 2019, 4038
The factors of 4012 are 1, 2, 4, 17, 34, 59, 68, 118, 236, 1003, 2006, 4012
The HCF of 4038,4012 is 2.
Lets's calculate GCF of 4038,4012
| 2 | 4038, 4012 |
| 2019, 2006 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4038,4012 By Matching Biggest Common Factor Method
Now, list down the factors of 4038
:1,2,3,6,673,1346,2019,4038
Now, list down the factors of 4012
:1,2,4,17,34,59,68,118,236,1003,2006,4012
Greatest Common Factor
We found the factors 4038,4012 . The biggest common factor number is the GCF number.
So the greatest common factor 4038,4012 is 2.
Lets's calculate LCM of 108,7359
| 3 | 108, 7359 |
| 36, 2453 |
∴ So the LCM of the given numbers is 3 x 36 x 2453 = 264924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/264924
Therefore, the GCF of Fractions 4038/108,4012/7359 is 2/264924
Least Common Multiple of 108,7359 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 108,7359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,7359) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(108,7359) x common factors =3 x 1 = 3
LCM(108,7359) = ( 108 × 7359 ) / 3
LCM(108,7359) = 794772 / 3
LCM(108,7359) = 264924
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FAQs on GCF of Fractions of 4038/108, 4012/7359
1. What is the HCF of 4038,4012?
The HCF of 4038,4012 is 2
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 4038/108, 4012/7359?
Answer: GCF of Numerators as per given numbers 4038/108, 4012/7359 is
GCF of Numerators i.e. for 4038,4012 is 2
LCM of denominators i.e. for 108,7359 is 264924.
Thus, GCF of Fractions is 2/264924.Finally, GCF of Fractions for 4038/108, 4012/7359 is 2/264924.