GCF of 6467/416, 7451/5794
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6467/416, 7451/5794 i.e 1/1205152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6467/416, 7451/5794.
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 6467/416,7451/5794?
Given fractions are 6467/416,7451/5794
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 6467/416,7451/5794, numerators are 6467,7451
Denominators are 416,5794
The GCF of 6467,7451 is 1 .
LCM of 416,5794 is 1205152.
The greatest common factor of 6467/416,7451/5794 = [GCF of 6467,7451]/[LCM of 416,5794]= 1/1205152
Therefore, the GCF of 6467/416,7451/5794 is 1/1205152.
To find the highest common factor of 6467,7451, we have to find the factors of both numbers and list the highest common factor.
The factors of 6467 are 1, 29, 223, 6467
The factors of 7451 are 1, 7451
The HCF of 6467,7451 is 1.
Lets's calculate GCF of 6467,7451
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6467,7451 By Matching Biggest Common Factor Method
Now, list down the factors of 6467
:1,29,223,6467
Now, list down the factors of 7451
:1,7451
Greatest Common Factor
We found the factors 6467,7451 . The biggest common factor number is the GCF number.
So the greatest common factor 6467,7451 is 1.
Lets's calculate LCM of 416,5794
| 2 | 416, 5794 |
| 208, 2897 |
∴ So the LCM of the given numbers is 2 x 208 x 2897 = 1205152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1205152
Therefore, the GCF of Fractions 6467/416,7451/5794 is 1/1205152
Least Common Multiple of 416,5794 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 416,5794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,5794) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(416,5794) x common factors =2 x 1 = 2
LCM(416,5794) = ( 416 × 5794 ) / 2
LCM(416,5794) = 2410304 / 2
LCM(416,5794) = 1205152
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FAQs on GCF of Fractions of 6467/416, 7451/5794
1. What is the HCF of 6467,7451?
The HCF of 6467,7451 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 6467/416, 7451/5794?
Answer: GCF of Numerators as per given numbers 6467/416, 7451/5794 is
GCF of Numerators i.e. for 6467,7451 is 1
LCM of denominators i.e. for 416,5794 is 1205152.
Thus, GCF of Fractions is 1/1205152.Finally, GCF of Fractions for 6467/416, 7451/5794 is 1/1205152.