GCF of 6810/256, 7146/6431
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6810/256, 7146/6431 i.e 6/1646336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6810/256, 7146/6431.
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 6810/256,7146/6431?
Given fractions are 6810/256,7146/6431
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 6810/256,7146/6431, numerators are 6810,7146
Denominators are 256,6431
The GCF of 6810,7146 is 6 .
LCM of 256,6431 is 1646336.
The greatest common factor of 6810/256,7146/6431 = [GCF of 6810,7146]/[LCM of 256,6431]= 6/1646336
Therefore, the GCF of 6810/256,7146/6431 is 6/1646336.
To find the highest common factor of 6810,7146, we have to find the factors of both numbers and list the highest common factor.
The factors of 6810 are 1, 2, 3, 5, 6, 10, 15, 30, 227, 454, 681, 1135, 1362, 2270, 3405, 6810
The factors of 7146 are 1, 2, 3, 6, 9, 18, 397, 794, 1191, 2382, 3573, 7146
The HCF of 6810,7146 is 6.
Lets's calculate GCF of 6810,7146
| 2 | 6810, 7146 |
| 3 | 3405, 3573 |
| 1135, 1191 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 6810,7146 By Matching Biggest Common Factor Method
Now, list down the factors of 6810
:1,2,3,5,6,10,15,30,227,454,681,1135,1362,2270,3405,6810
Now, list down the factors of 7146
:1,2,3,6,9,18,397,794,1191,2382,3573,7146
Greatest Common Factor
We found the factors 6810,7146 . The biggest common factor number is the GCF number.
So the greatest common factor 6810,7146 is 6.
Lets's calculate LCM of 256,6431
Given numbers has no common factors except 1. So, there LCM is their product i.e 1646336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1646336
Therefore, the GCF of Fractions 6810/256,7146/6431 is 6/1646336
Least Common Multiple of 256,6431 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 256,6431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,6431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(256,6431) x common factors =1 x 1 = 1
LCM(256,6431) = ( 256 × 6431 ) / 1
LCM(256,6431) = 1646336 / 1
LCM(256,6431) = 1646336
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FAQs on GCF of Fractions of 6810/256, 7146/6431
1. What is the HCF of 6810,7146?
The HCF of 6810,7146 is 6
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 6810/256, 7146/6431?
Answer: GCF of Numerators as per given numbers 6810/256, 7146/6431 is
GCF of Numerators i.e. for 6810,7146 is 6
LCM of denominators i.e. for 256,6431 is 1646336.
Thus, GCF of Fractions is 6/1646336.Finally, GCF of Fractions for 6810/256, 7146/6431 is 6/1646336.