GCF of 6741/417, 9095/6337
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6741/417, 9095/6337 i.e 107/2642529 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6741/417, 9095/6337.
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 6741/417,9095/6337?
Given fractions are 6741/417,9095/6337
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 6741/417,9095/6337, numerators are 6741,9095
Denominators are 417,6337
The GCF of 6741,9095 is 107 .
LCM of 417,6337 is 2642529.
The greatest common factor of 6741/417,9095/6337 = [GCF of 6741,9095]/[LCM of 417,6337]= 107/2642529
Therefore, the GCF of 6741/417,9095/6337 is 107/2642529.
To find the highest common factor of 6741,9095, we have to find the factors of both numbers and list the highest common factor.
The factors of 6741 are 1, 3, 7, 9, 21, 63, 107, 321, 749, 963, 2247, 6741
The factors of 9095 are 1, 5, 17, 85, 107, 535, 1819, 9095
The HCF of 6741,9095 is 107.
Lets's calculate GCF of 6741,9095
| 107 | 6741, 9095 |
| 63, 85 |
∴ So the GCF of the given numbers is 107 = 107
Greatest Common Factor of 6741,9095 By Matching Biggest Common Factor Method
Now, list down the factors of 6741
:1,3,7,9,21,63,107,321,749,963,2247,6741
Now, list down the factors of 9095
:1,5,17,85,107,535,1819,9095
Greatest Common Factor
We found the factors 6741,9095 . The biggest common factor number is the GCF number.
So the greatest common factor 6741,9095 is 107.
Lets's calculate LCM of 417,6337
Given numbers has no common factors except 1. So, there LCM is their product i.e 2642529
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 107/2642529
Therefore, the GCF of Fractions 6741/417,9095/6337 is 107/2642529
Least Common Multiple of 417,6337 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 417,6337 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,6337) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(417,6337) x common factors =1 x 1 = 1
LCM(417,6337) = ( 417 × 6337 ) / 1
LCM(417,6337) = 2642529 / 1
LCM(417,6337) = 2642529
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FAQs on GCF of Fractions of 6741/417, 9095/6337
1. What is the HCF of 6741,9095?
The HCF of 6741,9095 is 107
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 6741/417, 9095/6337?
Answer: GCF of Numerators as per given numbers 6741/417, 9095/6337 is
GCF of Numerators i.e. for 6741,9095 is 107
LCM of denominators i.e. for 417,6337 is 2642529.
Thus, GCF of Fractions is 107/2642529.Finally, GCF of Fractions for 6741/417, 9095/6337 is 107/2642529.