GCF of 8428/631, 4641/327
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8428/631, 4641/327 i.e 7/206337 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8428/631, 4641/327.
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 8428/631,4641/327?
Given fractions are 8428/631,4641/327
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 8428/631,4641/327, numerators are 8428,4641
Denominators are 631,327
The GCF of 8428,4641 is 7 .
LCM of 631,327 is 206337.
The greatest common factor of 8428/631,4641/327 = [GCF of 8428,4641]/[LCM of 631,327]= 7/206337
Therefore, the GCF of 8428/631,4641/327 is 7/206337.
To find the highest common factor of 8428,4641, we have to find the factors of both numbers and list the highest common factor.
The factors of 8428 are 1, 2, 4, 7, 14, 28, 43, 49, 86, 98, 172, 196, 301, 602, 1204, 2107, 4214, 8428
The factors of 4641 are 1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 273, 357, 663, 1547, 4641
The HCF of 8428,4641 is 7.
Lets's calculate GCF of 8428,4641
| 7 | 8428, 4641 |
| 1204, 663 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8428,4641 By Matching Biggest Common Factor Method
Now, list down the factors of 8428
:1,2,4,7,14,28,43,49,86,98,172,196,301,602,1204,2107,4214,8428
Now, list down the factors of 4641
:1,3,7,13,17,21,39,51,91,119,221,273,357,663,1547,4641
Greatest Common Factor
We found the factors 8428,4641 . The biggest common factor number is the GCF number.
So the greatest common factor 8428,4641 is 7.
Lets's calculate LCM of 631,327
Given numbers has no common factors except 1. So, there LCM is their product i.e 206337
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/206337
Therefore, the GCF of Fractions 8428/631,4641/327 is 7/206337
Least Common Multiple of 631,327 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 631,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(631,327) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(631,327) x common factors =1 x 1 = 1
LCM(631,327) = ( 631 × 327 ) / 1
LCM(631,327) = 206337 / 1
LCM(631,327) = 206337
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FAQs on GCF of Fractions of 8428/631, 4641/327
1. What is the HCF of 8428,4641?
The HCF of 8428,4641 is 7
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 8428/631, 4641/327?
Answer: GCF of Numerators as per given numbers 8428/631, 4641/327 is
GCF of Numerators i.e. for 8428,4641 is 7
LCM of denominators i.e. for 631,327 is 206337.
Thus, GCF of Fractions is 7/206337.Finally, GCF of Fractions for 8428/631, 4641/327 is 7/206337.