GCF of 6966/341, 9202/8413
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6966/341, 9202/8413 i.e 86/2868833 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6966/341, 9202/8413.
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 6966/341,9202/8413?
Given fractions are 6966/341,9202/8413
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 6966/341,9202/8413, numerators are 6966,9202
Denominators are 341,8413
The GCF of 6966,9202 is 86 .
LCM of 341,8413 is 2868833.
The greatest common factor of 6966/341,9202/8413 = [GCF of 6966,9202]/[LCM of 341,8413]= 86/2868833
Therefore, the GCF of 6966/341,9202/8413 is 86/2868833.
To find the highest common factor of 6966,9202, we have to find the factors of both numbers and list the highest common factor.
The factors of 6966 are 1, 2, 3, 6, 9, 18, 27, 43, 54, 81, 86, 129, 162, 258, 387, 774, 1161, 2322, 3483, 6966
The factors of 9202 are 1, 2, 43, 86, 107, 214, 4601, 9202
The HCF of 6966,9202 is 86.
Lets's calculate GCF of 6966,9202
| 2 | 6966, 9202 |
| 43 | 3483, 4601 |
| 81, 107 |
∴ So the GCF of the given numbers is 2 x 43 = 86
Greatest Common Factor of 6966,9202 By Matching Biggest Common Factor Method
Now, list down the factors of 6966
:1,2,3,6,9,18,27,43,54,81,86,129,162,258,387,774,1161,2322,3483,6966
Now, list down the factors of 9202
:1,2,43,86,107,214,4601,9202
Greatest Common Factor
We found the factors 6966,9202 . The biggest common factor number is the GCF number.
So the greatest common factor 6966,9202 is 86.
Lets's calculate LCM of 341,8413
Given numbers has no common factors except 1. So, there LCM is their product i.e 2868833
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 86/2868833
Therefore, the GCF of Fractions 6966/341,9202/8413 is 86/2868833
Least Common Multiple of 341,8413 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 341,8413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(341,8413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(341,8413) x common factors =1 x 1 = 1
LCM(341,8413) = ( 341 × 8413 ) / 1
LCM(341,8413) = 2868833 / 1
LCM(341,8413) = 2868833
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FAQs on GCF of Fractions of 6966/341, 9202/8413
1. What is the HCF of 6966,9202?
The HCF of 6966,9202 is 86
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 6966/341, 9202/8413?
Answer: GCF of Numerators as per given numbers 6966/341, 9202/8413 is
GCF of Numerators i.e. for 6966,9202 is 86
LCM of denominators i.e. for 341,8413 is 2868833.
Thus, GCF of Fractions is 86/2868833.Finally, GCF of Fractions for 6966/341, 9202/8413 is 86/2868833.