GCF of 3641/808, 3339/9477
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3641/808, 3339/9477 i.e 1/7657416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3641/808, 3339/9477.
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 3641/808,3339/9477?
Given fractions are 3641/808,3339/9477
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 3641/808,3339/9477, numerators are 3641,3339
Denominators are 808,9477
The GCF of 3641,3339 is 1 .
LCM of 808,9477 is 7657416.
The greatest common factor of 3641/808,3339/9477 = [GCF of 3641,3339]/[LCM of 808,9477]= 1/7657416
Therefore, the GCF of 3641/808,3339/9477 is 1/7657416.
To find the highest common factor of 3641,3339, we have to find the factors of both numbers and list the highest common factor.
The factors of 3641 are 1, 11, 331, 3641
The factors of 3339 are 1, 3, 7, 9, 21, 53, 63, 159, 371, 477, 1113, 3339
The HCF of 3641,3339 is 1.
Lets's calculate GCF of 3641,3339
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3641,3339 By Matching Biggest Common Factor Method
Now, list down the factors of 3641
:1,11,331,3641
Now, list down the factors of 3339
:1,3,7,9,21,53,63,159,371,477,1113,3339
Greatest Common Factor
We found the factors 3641,3339 . The biggest common factor number is the GCF number.
So the greatest common factor 3641,3339 is 1.
Lets's calculate LCM of 808,9477
Given numbers has no common factors except 1. So, there LCM is their product i.e 7657416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7657416
Therefore, the GCF of Fractions 3641/808,3339/9477 is 1/7657416
Least Common Multiple of 808,9477 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 808,9477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(808,9477) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(808,9477) x common factors =1 x 1 = 1
LCM(808,9477) = ( 808 × 9477 ) / 1
LCM(808,9477) = 7657416 / 1
LCM(808,9477) = 7657416
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FAQs on GCF of Fractions of 3641/808, 3339/9477
1. What is the HCF of 3641,3339?
The HCF of 3641,3339 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 3641/808, 3339/9477?
Answer: GCF of Numerators as per given numbers 3641/808, 3339/9477 is
GCF of Numerators i.e. for 3641,3339 is 1
LCM of denominators i.e. for 808,9477 is 7657416.
Thus, GCF of Fractions is 1/7657416.Finally, GCF of Fractions for 3641/808, 3339/9477 is 1/7657416.