GCF of 4049/738, 3668/1251
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4049/738, 3668/1251 i.e 1/102582 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4049/738, 3668/1251.
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 4049/738,3668/1251?
Given fractions are 4049/738,3668/1251
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 4049/738,3668/1251, numerators are 4049,3668
Denominators are 738,1251
The GCF of 4049,3668 is 1 .
LCM of 738,1251 is 102582.
The greatest common factor of 4049/738,3668/1251 = [GCF of 4049,3668]/[LCM of 738,1251]= 1/102582
Therefore, the GCF of 4049/738,3668/1251 is 1/102582.
To find the highest common factor of 4049,3668, we have to find the factors of both numbers and list the highest common factor.
The factors of 4049 are 1, 4049
The factors of 3668 are 1, 2, 4, 7, 14, 28, 131, 262, 524, 917, 1834, 3668
The HCF of 4049,3668 is 1.
Lets's calculate GCF of 4049,3668
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4049,3668 By Matching Biggest Common Factor Method
Now, list down the factors of 4049
:1,4049
Now, list down the factors of 3668
:1,2,4,7,14,28,131,262,524,917,1834,3668
Greatest Common Factor
We found the factors 4049,3668 . The biggest common factor number is the GCF number.
So the greatest common factor 4049,3668 is 1.
Lets's calculate LCM of 738,1251
| 3 | 738, 1251 |
| 3 | 246, 417 |
| 82, 139 |
∴ So the LCM of the given numbers is 3 x 3 x 82 x 139 = 102582
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102582
Therefore, the GCF of Fractions 4049/738,3668/1251 is 1/102582
Least Common Multiple of 738,1251 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 738,1251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(738,1251) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(738,1251) x common factors =9 x 1 = 9
LCM(738,1251) = ( 738 × 1251 ) / 9
LCM(738,1251) = 923238 / 9
LCM(738,1251) = 102582
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FAQs on GCF of Fractions of 4049/738, 3668/1251
1. What is the HCF of 4049,3668?
The HCF of 4049,3668 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 4049/738, 3668/1251?
Answer: GCF of Numerators as per given numbers 4049/738, 3668/1251 is
GCF of Numerators i.e. for 4049,3668 is 1
LCM of denominators i.e. for 738,1251 is 102582.
Thus, GCF of Fractions is 1/102582.Finally, GCF of Fractions for 4049/738, 3668/1251 is 1/102582.