GCF of 1437/512, 1041/6166
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1437/512, 1041/6166 i.e 3/1578496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1437/512, 1041/6166.
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 1437/512,1041/6166?
Given fractions are 1437/512,1041/6166
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 1437/512,1041/6166, numerators are 1437,1041
Denominators are 512,6166
The GCF of 1437,1041 is 3 .
LCM of 512,6166 is 1578496.
The greatest common factor of 1437/512,1041/6166 = [GCF of 1437,1041]/[LCM of 512,6166]= 3/1578496
Therefore, the GCF of 1437/512,1041/6166 is 3/1578496.
To find the highest common factor of 1437,1041, we have to find the factors of both numbers and list the highest common factor.
The factors of 1437 are 1, 3, 479, 1437
The factors of 1041 are 1, 3, 347, 1041
The HCF of 1437,1041 is 3.
Lets's calculate GCF of 1437,1041
| 3 | 1437, 1041 |
| 479, 347 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1437,1041 By Matching Biggest Common Factor Method
Now, list down the factors of 1437
:1,3,479,1437
Now, list down the factors of 1041
:1,3,347,1041
Greatest Common Factor
We found the factors 1437,1041 . The biggest common factor number is the GCF number.
So the greatest common factor 1437,1041 is 3.
Lets's calculate LCM of 512,6166
| 2 | 512, 6166 |
| 256, 3083 |
∴ So the LCM of the given numbers is 2 x 256 x 3083 = 1578496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1578496
Therefore, the GCF of Fractions 1437/512,1041/6166 is 3/1578496
Least Common Multiple of 512,6166 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 512,6166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,6166) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(512,6166) x common factors =2 x 1 = 2
LCM(512,6166) = ( 512 × 6166 ) / 2
LCM(512,6166) = 3156992 / 2
LCM(512,6166) = 1578496
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FAQs on GCF of Fractions of 1437/512, 1041/6166
1. What is the HCF of 1437,1041?
The HCF of 1437,1041 is 3
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 1437/512, 1041/6166?
Answer: GCF of Numerators as per given numbers 1437/512, 1041/6166 is
GCF of Numerators i.e. for 1437,1041 is 3
LCM of denominators i.e. for 512,6166 is 1578496.
Thus, GCF of Fractions is 3/1578496.Finally, GCF of Fractions for 1437/512, 1041/6166 is 3/1578496.