GCF of 3807/546, 8341/9426
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3807/546, 8341/9426 i.e 1/857766 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3807/546, 8341/9426.
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 3807/546,8341/9426?
Given fractions are 3807/546,8341/9426
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 3807/546,8341/9426, numerators are 3807,8341
Denominators are 546,9426
The GCF of 3807,8341 is 1 .
LCM of 546,9426 is 857766.
The greatest common factor of 3807/546,8341/9426 = [GCF of 3807,8341]/[LCM of 546,9426]= 1/857766
Therefore, the GCF of 3807/546,8341/9426 is 1/857766.
To find the highest common factor of 3807,8341, we have to find the factors of both numbers and list the highest common factor.
The factors of 3807 are 1, 3, 9, 27, 47, 81, 141, 423, 1269, 3807
The factors of 8341 are 1, 19, 439, 8341
The HCF of 3807,8341 is 1.
Lets's calculate GCF of 3807,8341
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3807,8341 By Matching Biggest Common Factor Method
Now, list down the factors of 3807
:1,3,9,27,47,81,141,423,1269,3807
Now, list down the factors of 8341
:1,19,439,8341
Greatest Common Factor
We found the factors 3807,8341 . The biggest common factor number is the GCF number.
So the greatest common factor 3807,8341 is 1.
Lets's calculate LCM of 546,9426
| 2 | 546, 9426 |
| 3 | 273, 4713 |
| 91, 1571 |
∴ So the LCM of the given numbers is 2 x 3 x 91 x 1571 = 857766
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/857766
Therefore, the GCF of Fractions 3807/546,8341/9426 is 1/857766
Least Common Multiple of 546,9426 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 546,9426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,9426) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(546,9426) x common factors =6 x 1 = 6
LCM(546,9426) = ( 546 × 9426 ) / 6
LCM(546,9426) = 5146596 / 6
LCM(546,9426) = 857766
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FAQs on GCF of Fractions of 3807/546, 8341/9426
1. What is the HCF of 3807,8341?
The HCF of 3807,8341 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 3807/546, 8341/9426?
Answer: GCF of Numerators as per given numbers 3807/546, 8341/9426 is
GCF of Numerators i.e. for 3807,8341 is 1
LCM of denominators i.e. for 546,9426 is 857766.
Thus, GCF of Fractions is 1/857766.Finally, GCF of Fractions for 3807/546, 8341/9426 is 1/857766.