GCF of 6414/192, 7292/257
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6414/192, 7292/257 i.e 2/49344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6414/192, 7292/257.
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 6414/192,7292/257?
Given fractions are 6414/192,7292/257
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 6414/192,7292/257, numerators are 6414,7292
Denominators are 192,257
The GCF of 6414,7292 is 2 .
LCM of 192,257 is 49344.
The greatest common factor of 6414/192,7292/257 = [GCF of 6414,7292]/[LCM of 192,257]= 2/49344
Therefore, the GCF of 6414/192,7292/257 is 2/49344.
To find the highest common factor of 6414,7292, we have to find the factors of both numbers and list the highest common factor.
The factors of 6414 are 1, 2, 3, 6, 1069, 2138, 3207, 6414
The factors of 7292 are 1, 2, 4, 1823, 3646, 7292
The HCF of 6414,7292 is 2.
Lets's calculate GCF of 6414,7292
| 2 | 6414, 7292 |
| 3207, 3646 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6414,7292 By Matching Biggest Common Factor Method
Now, list down the factors of 6414
:1,2,3,6,1069,2138,3207,6414
Now, list down the factors of 7292
:1,2,4,1823,3646,7292
Greatest Common Factor
We found the factors 6414,7292 . The biggest common factor number is the GCF number.
So the greatest common factor 6414,7292 is 2.
Lets's calculate LCM of 192,257
Given numbers has no common factors except 1. So, there LCM is their product i.e 49344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/49344
Therefore, the GCF of Fractions 6414/192,7292/257 is 2/49344
Least Common Multiple of 192,257 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 192,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(192,257) x common factors =1 x 1 = 1
LCM(192,257) = ( 192 × 257 ) / 1
LCM(192,257) = 49344 / 1
LCM(192,257) = 49344
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6414/192, 7292/257
1. What is the HCF of 6414,7292?
The HCF of 6414,7292 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 6414/192, 7292/257?
Answer: GCF of Numerators as per given numbers 6414/192, 7292/257 is
GCF of Numerators i.e. for 6414,7292 is 2
LCM of denominators i.e. for 192,257 is 49344.
Thus, GCF of Fractions is 2/49344.Finally, GCF of Fractions for 6414/192, 7292/257 is 2/49344.