GCF of 3830/449, 9609/8321
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3830/449, 9609/8321 i.e 1/3736129 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3830/449, 9609/8321.
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 3830/449,9609/8321?
Given fractions are 3830/449,9609/8321
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 3830/449,9609/8321, numerators are 3830,9609
Denominators are 449,8321
The GCF of 3830,9609 is 1 .
LCM of 449,8321 is 3736129.
The greatest common factor of 3830/449,9609/8321 = [GCF of 3830,9609]/[LCM of 449,8321]= 1/3736129
Therefore, the GCF of 3830/449,9609/8321 is 1/3736129.
To find the highest common factor of 3830,9609, we have to find the factors of both numbers and list the highest common factor.
The factors of 3830 are 1, 2, 5, 10, 383, 766, 1915, 3830
The factors of 9609 are 1, 3, 3203, 9609
The HCF of 3830,9609 is 1.
Lets's calculate GCF of 3830,9609
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3830,9609 By Matching Biggest Common Factor Method
Now, list down the factors of 3830
:1,2,5,10,383,766,1915,3830
Now, list down the factors of 9609
:1,3,3203,9609
Greatest Common Factor
We found the factors 3830,9609 . The biggest common factor number is the GCF number.
So the greatest common factor 3830,9609 is 1.
Lets's calculate LCM of 449,8321
Given numbers has no common factors except 1. So, there LCM is their product i.e 3736129
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3736129
Therefore, the GCF of Fractions 3830/449,9609/8321 is 1/3736129
Least Common Multiple of 449,8321 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 449,8321 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,8321) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,8321) x common factors =1 x 1 = 1
LCM(449,8321) = ( 449 × 8321 ) / 1
LCM(449,8321) = 3736129 / 1
LCM(449,8321) = 3736129
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FAQs on GCF of Fractions of 3830/449, 9609/8321
1. What is the HCF of 3830,9609?
The HCF of 3830,9609 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 3830/449, 9609/8321?
Answer: GCF of Numerators as per given numbers 3830/449, 9609/8321 is
GCF of Numerators i.e. for 3830,9609 is 1
LCM of denominators i.e. for 449,8321 is 3736129.
Thus, GCF of Fractions is 1/3736129.Finally, GCF of Fractions for 3830/449, 9609/8321 is 1/3736129.