GCF of 8393/398, 7264/1396
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8393/398, 7264/1396 i.e 1/277804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8393/398, 7264/1396.
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 8393/398,7264/1396?
Given fractions are 8393/398,7264/1396
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 8393/398,7264/1396, numerators are 8393,7264
Denominators are 398,1396
The GCF of 8393,7264 is 1 .
LCM of 398,1396 is 277804.
The greatest common factor of 8393/398,7264/1396 = [GCF of 8393,7264]/[LCM of 398,1396]= 1/277804
Therefore, the GCF of 8393/398,7264/1396 is 1/277804.
To find the highest common factor of 8393,7264, we have to find the factors of both numbers and list the highest common factor.
The factors of 8393 are 1, 7, 11, 77, 109, 763, 1199, 8393
The factors of 7264 are 1, 2, 4, 8, 16, 32, 227, 454, 908, 1816, 3632, 7264
The HCF of 8393,7264 is 1.
Lets's calculate GCF of 8393,7264
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8393,7264 By Matching Biggest Common Factor Method
Now, list down the factors of 8393
:1,7,11,77,109,763,1199,8393
Now, list down the factors of 7264
:1,2,4,8,16,32,227,454,908,1816,3632,7264
Greatest Common Factor
We found the factors 8393,7264 . The biggest common factor number is the GCF number.
So the greatest common factor 8393,7264 is 1.
Lets's calculate LCM of 398,1396
| 2 | 398, 1396 |
| 199, 698 |
∴ So the LCM of the given numbers is 2 x 199 x 698 = 277804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/277804
Therefore, the GCF of Fractions 8393/398,7264/1396 is 1/277804
Least Common Multiple of 398,1396 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 398,1396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(398,1396) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(398,1396) x common factors =2 x 1 = 2
LCM(398,1396) = ( 398 × 1396 ) / 2
LCM(398,1396) = 555608 / 2
LCM(398,1396) = 277804
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FAQs on GCF of Fractions of 8393/398, 7264/1396
1. What is the HCF of 8393,7264?
The HCF of 8393,7264 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 8393/398, 7264/1396?
Answer: GCF of Numerators as per given numbers 8393/398, 7264/1396 is
GCF of Numerators i.e. for 8393,7264 is 1
LCM of denominators i.e. for 398,1396 is 277804.
Thus, GCF of Fractions is 1/277804.Finally, GCF of Fractions for 8393/398, 7264/1396 is 1/277804.