GCF of 8641/326, 4632/5548
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8641/326, 4632/5548 i.e 1/904324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8641/326, 4632/5548.
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 8641/326,4632/5548?
Given fractions are 8641/326,4632/5548
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 8641/326,4632/5548, numerators are 8641,4632
Denominators are 326,5548
The GCF of 8641,4632 is 1 .
LCM of 326,5548 is 904324.
The greatest common factor of 8641/326,4632/5548 = [GCF of 8641,4632]/[LCM of 326,5548]= 1/904324
Therefore, the GCF of 8641/326,4632/5548 is 1/904324.
To find the highest common factor of 8641,4632, we have to find the factors of both numbers and list the highest common factor.
The factors of 8641 are 1, 8641
The factors of 4632 are 1, 2, 3, 4, 6, 8, 12, 24, 193, 386, 579, 772, 1158, 1544, 2316, 4632
The HCF of 8641,4632 is 1.
Lets's calculate GCF of 8641,4632
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8641,4632 By Matching Biggest Common Factor Method
Now, list down the factors of 8641
:1,8641
Now, list down the factors of 4632
:1,2,3,4,6,8,12,24,193,386,579,772,1158,1544,2316,4632
Greatest Common Factor
We found the factors 8641,4632 . The biggest common factor number is the GCF number.
So the greatest common factor 8641,4632 is 1.
Lets's calculate LCM of 326,5548
| 2 | 326, 5548 |
| 163, 2774 |
∴ So the LCM of the given numbers is 2 x 163 x 2774 = 904324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/904324
Therefore, the GCF of Fractions 8641/326,4632/5548 is 1/904324
Least Common Multiple of 326,5548 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 326,5548 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,5548) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(326,5548) x common factors =2 x 1 = 2
LCM(326,5548) = ( 326 × 5548 ) / 2
LCM(326,5548) = 1808648 / 2
LCM(326,5548) = 904324
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FAQs on GCF of Fractions of 8641/326, 4632/5548
1. What is the HCF of 8641,4632?
The HCF of 8641,4632 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 8641/326, 4632/5548?
Answer: GCF of Numerators as per given numbers 8641/326, 4632/5548 is
GCF of Numerators i.e. for 8641,4632 is 1
LCM of denominators i.e. for 326,5548 is 904324.
Thus, GCF of Fractions is 1/904324.Finally, GCF of Fractions for 8641/326, 4632/5548 is 1/904324.