GCF of 3846/322, 7746/5632
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3846/322, 7746/5632 i.e 6/906752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3846/322, 7746/5632.
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 3846/322,7746/5632?
Given fractions are 3846/322,7746/5632
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 3846/322,7746/5632, numerators are 3846,7746
Denominators are 322,5632
The GCF of 3846,7746 is 6 .
LCM of 322,5632 is 906752.
The greatest common factor of 3846/322,7746/5632 = [GCF of 3846,7746]/[LCM of 322,5632]= 6/906752
Therefore, the GCF of 3846/322,7746/5632 is 6/906752.
To find the highest common factor of 3846,7746, we have to find the factors of both numbers and list the highest common factor.
The factors of 3846 are 1, 2, 3, 6, 641, 1282, 1923, 3846
The factors of 7746 are 1, 2, 3, 6, 1291, 2582, 3873, 7746
The HCF of 3846,7746 is 6.
Lets's calculate GCF of 3846,7746
| 2 | 3846, 7746 |
| 3 | 1923, 3873 |
| 641, 1291 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 3846,7746 By Matching Biggest Common Factor Method
Now, list down the factors of 3846
:1,2,3,6,641,1282,1923,3846
Now, list down the factors of 7746
:1,2,3,6,1291,2582,3873,7746
Greatest Common Factor
We found the factors 3846,7746 . The biggest common factor number is the GCF number.
So the greatest common factor 3846,7746 is 6.
Lets's calculate LCM of 322,5632
| 2 | 322, 5632 |
| 161, 2816 |
∴ So the LCM of the given numbers is 2 x 161 x 2816 = 906752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/906752
Therefore, the GCF of Fractions 3846/322,7746/5632 is 6/906752
Least Common Multiple of 322,5632 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 322,5632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,5632) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(322,5632) x common factors =2 x 1 = 2
LCM(322,5632) = ( 322 × 5632 ) / 2
LCM(322,5632) = 1813504 / 2
LCM(322,5632) = 906752
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FAQs on GCF of Fractions of 3846/322, 7746/5632
1. What is the HCF of 3846,7746?
The HCF of 3846,7746 is 6
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 3846/322, 7746/5632?
Answer: GCF of Numerators as per given numbers 3846/322, 7746/5632 is
GCF of Numerators i.e. for 3846,7746 is 6
LCM of denominators i.e. for 322,5632 is 906752.
Thus, GCF of Fractions is 6/906752.Finally, GCF of Fractions for 3846/322, 7746/5632 is 6/906752.