GCF of 4633/404, 7548/409
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4633/404, 7548/409 i.e 1/165236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4633/404, 7548/409.
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 4633/404,7548/409?
Given fractions are 4633/404,7548/409
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 4633/404,7548/409, numerators are 4633,7548
Denominators are 404,409
The GCF of 4633,7548 is 1 .
LCM of 404,409 is 165236.
The greatest common factor of 4633/404,7548/409 = [GCF of 4633,7548]/[LCM of 404,409]= 1/165236
Therefore, the GCF of 4633/404,7548/409 is 1/165236.
To find the highest common factor of 4633,7548, we have to find the factors of both numbers and list the highest common factor.
The factors of 4633 are 1, 41, 113, 4633
The factors of 7548 are 1, 2, 3, 4, 6, 12, 17, 34, 37, 51, 68, 74, 102, 111, 148, 204, 222, 444, 629, 1258, 1887, 2516, 3774, 7548
The HCF of 4633,7548 is 1.
Lets's calculate GCF of 4633,7548
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4633,7548 By Matching Biggest Common Factor Method
Now, list down the factors of 4633
:1,41,113,4633
Now, list down the factors of 7548
:1,2,3,4,6,12,17,34,37,51,68,74,102,111,148,204,222,444,629,1258,1887,2516,3774,7548
Greatest Common Factor
We found the factors 4633,7548 . The biggest common factor number is the GCF number.
So the greatest common factor 4633,7548 is 1.
Lets's calculate LCM of 404,409
Given numbers has no common factors except 1. So, there LCM is their product i.e 165236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/165236
Therefore, the GCF of Fractions 4633/404,7548/409 is 1/165236
Least Common Multiple of 404,409 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 404,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,409) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(404,409) x common factors =1 x 1 = 1
LCM(404,409) = ( 404 × 409 ) / 1
LCM(404,409) = 165236 / 1
LCM(404,409) = 165236
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FAQs on GCF of Fractions of 4633/404, 7548/409
1. What is the HCF of 4633,7548?
The HCF of 4633,7548 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 4633/404, 7548/409?
Answer: GCF of Numerators as per given numbers 4633/404, 7548/409 is
GCF of Numerators i.e. for 4633,7548 is 1
LCM of denominators i.e. for 404,409 is 165236.
Thus, GCF of Fractions is 1/165236.Finally, GCF of Fractions for 4633/404, 7548/409 is 1/165236.