GCF of 2045/366, 1668/5696
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2045/366, 1668/5696 i.e 1/1042368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2045/366, 1668/5696.
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 2045/366,1668/5696?
Given fractions are 2045/366,1668/5696
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 2045/366,1668/5696, numerators are 2045,1668
Denominators are 366,5696
The GCF of 2045,1668 is 1 .
LCM of 366,5696 is 1042368.
The greatest common factor of 2045/366,1668/5696 = [GCF of 2045,1668]/[LCM of 366,5696]= 1/1042368
Therefore, the GCF of 2045/366,1668/5696 is 1/1042368.
To find the highest common factor of 2045,1668, we have to find the factors of both numbers and list the highest common factor.
The factors of 2045 are 1, 5, 409, 2045
The factors of 1668 are 1, 2, 3, 4, 6, 12, 139, 278, 417, 556, 834, 1668
The HCF of 2045,1668 is 1.
Lets's calculate GCF of 2045,1668
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2045,1668 By Matching Biggest Common Factor Method
Now, list down the factors of 2045
:1,5,409,2045
Now, list down the factors of 1668
:1,2,3,4,6,12,139,278,417,556,834,1668
Greatest Common Factor
We found the factors 2045,1668 . The biggest common factor number is the GCF number.
So the greatest common factor 2045,1668 is 1.
Lets's calculate LCM of 366,5696
| 2 | 366, 5696 |
| 183, 2848 |
∴ So the LCM of the given numbers is 2 x 183 x 2848 = 1042368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1042368
Therefore, the GCF of Fractions 2045/366,1668/5696 is 1/1042368
Least Common Multiple of 366,5696 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 366,5696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(366,5696) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(366,5696) x common factors =2 x 1 = 2
LCM(366,5696) = ( 366 × 5696 ) / 2
LCM(366,5696) = 2084736 / 2
LCM(366,5696) = 1042368
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FAQs on GCF of Fractions of 2045/366, 1668/5696
1. What is the HCF of 2045,1668?
The HCF of 2045,1668 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 2045/366, 1668/5696?
Answer: GCF of Numerators as per given numbers 2045/366, 1668/5696 is
GCF of Numerators i.e. for 2045,1668 is 1
LCM of denominators i.e. for 366,5696 is 1042368.
Thus, GCF of Fractions is 1/1042368.Finally, GCF of Fractions for 2045/366, 1668/5696 is 1/1042368.