GCF of 1668/748, 2114/4041
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1668/748, 2114/4041 i.e 2/3022668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1668/748, 2114/4041.
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 1668/748,2114/4041?
Given fractions are 1668/748,2114/4041
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 1668/748,2114/4041, numerators are 1668,2114
Denominators are 748,4041
The GCF of 1668,2114 is 2 .
LCM of 748,4041 is 3022668.
The greatest common factor of 1668/748,2114/4041 = [GCF of 1668,2114]/[LCM of 748,4041]= 2/3022668
Therefore, the GCF of 1668/748,2114/4041 is 2/3022668.
To find the highest common factor of 1668,2114, we have to find the factors of both numbers and list the highest common factor.
The factors of 1668 are 1, 2, 3, 4, 6, 12, 139, 278, 417, 556, 834, 1668
The factors of 2114 are 1, 2, 7, 14, 151, 302, 1057, 2114
The HCF of 1668,2114 is 2.
Lets's calculate GCF of 1668,2114
| 2 | 1668, 2114 |
| 834, 1057 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1668,2114 By Matching Biggest Common Factor Method
Now, list down the factors of 1668
:1,2,3,4,6,12,139,278,417,556,834,1668
Now, list down the factors of 2114
:1,2,7,14,151,302,1057,2114
Greatest Common Factor
We found the factors 1668,2114 . The biggest common factor number is the GCF number.
So the greatest common factor 1668,2114 is 2.
Lets's calculate LCM of 748,4041
Given numbers has no common factors except 1. So, there LCM is their product i.e 3022668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3022668
Therefore, the GCF of Fractions 1668/748,2114/4041 is 2/3022668
Least Common Multiple of 748,4041 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 748,4041 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,4041) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(748,4041) x common factors =1 x 1 = 1
LCM(748,4041) = ( 748 × 4041 ) / 1
LCM(748,4041) = 3022668 / 1
LCM(748,4041) = 3022668
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FAQs on GCF of Fractions of 1668/748, 2114/4041
1. What is the HCF of 1668,2114?
The HCF of 1668,2114 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 1668/748, 2114/4041?
Answer: GCF of Numerators as per given numbers 1668/748, 2114/4041 is
GCF of Numerators i.e. for 1668,2114 is 2
LCM of denominators i.e. for 748,4041 is 3022668.
Thus, GCF of Fractions is 2/3022668.Finally, GCF of Fractions for 1668/748, 2114/4041 is 2/3022668.