GCF of 9343/165, 7683/1349
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9343/165, 7683/1349 i.e 1/222585 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9343/165, 7683/1349.
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 9343/165,7683/1349?
Given fractions are 9343/165,7683/1349
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 9343/165,7683/1349, numerators are 9343,7683
Denominators are 165,1349
The GCF of 9343,7683 is 1 .
LCM of 165,1349 is 222585.
The greatest common factor of 9343/165,7683/1349 = [GCF of 9343,7683]/[LCM of 165,1349]= 1/222585
Therefore, the GCF of 9343/165,7683/1349 is 1/222585.
To find the highest common factor of 9343,7683, we have to find the factors of both numbers and list the highest common factor.
The factors of 9343 are 1, 9343
The factors of 7683 are 1, 3, 13, 39, 197, 591, 2561, 7683
The HCF of 9343,7683 is 1.
Lets's calculate GCF of 9343,7683
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9343,7683 By Matching Biggest Common Factor Method
Now, list down the factors of 9343
:1,9343
Now, list down the factors of 7683
:1,3,13,39,197,591,2561,7683
Greatest Common Factor
We found the factors 9343,7683 . The biggest common factor number is the GCF number.
So the greatest common factor 9343,7683 is 1.
Lets's calculate LCM of 165,1349
Given numbers has no common factors except 1. So, there LCM is their product i.e 222585
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/222585
Therefore, the GCF of Fractions 9343/165,7683/1349 is 1/222585
Least Common Multiple of 165,1349 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 165,1349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,1349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(165,1349) x common factors =1 x 1 = 1
LCM(165,1349) = ( 165 × 1349 ) / 1
LCM(165,1349) = 222585 / 1
LCM(165,1349) = 222585
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FAQs on GCF of Fractions of 9343/165, 7683/1349
1. What is the HCF of 9343,7683?
The HCF of 9343,7683 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 9343/165, 7683/1349?
Answer: GCF of Numerators as per given numbers 9343/165, 7683/1349 is
GCF of Numerators i.e. for 9343,7683 is 1
LCM of denominators i.e. for 165,1349 is 222585.
Thus, GCF of Fractions is 1/222585.Finally, GCF of Fractions for 9343/165, 7683/1349 is 1/222585.