GCF of 1423/295, 7359/1243
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1423/295, 7359/1243 i.e 1/366685 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1423/295, 7359/1243.
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 1423/295,7359/1243?
Given fractions are 1423/295,7359/1243
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 1423/295,7359/1243, numerators are 1423,7359
Denominators are 295,1243
The GCF of 1423,7359 is 1 .
LCM of 295,1243 is 366685.
The greatest common factor of 1423/295,7359/1243 = [GCF of 1423,7359]/[LCM of 295,1243]= 1/366685
Therefore, the GCF of 1423/295,7359/1243 is 1/366685.
To find the highest common factor of 1423,7359, we have to find the factors of both numbers and list the highest common factor.
The factors of 1423 are 1, 1423
The factors of 7359 are 1, 3, 11, 33, 223, 669, 2453, 7359
The HCF of 1423,7359 is 1.
Lets's calculate GCF of 1423,7359
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1423,7359 By Matching Biggest Common Factor Method
Now, list down the factors of 1423
:1,1423
Now, list down the factors of 7359
:1,3,11,33,223,669,2453,7359
Greatest Common Factor
We found the factors 1423,7359 . The biggest common factor number is the GCF number.
So the greatest common factor 1423,7359 is 1.
Lets's calculate LCM of 295,1243
Given numbers has no common factors except 1. So, there LCM is their product i.e 366685
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/366685
Therefore, the GCF of Fractions 1423/295,7359/1243 is 1/366685
Least Common Multiple of 295,1243 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 295,1243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,1243) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(295,1243) x common factors =1 x 1 = 1
LCM(295,1243) = ( 295 × 1243 ) / 1
LCM(295,1243) = 366685 / 1
LCM(295,1243) = 366685
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FAQs on GCF of Fractions of 1423/295, 7359/1243
1. What is the HCF of 1423,7359?
The HCF of 1423,7359 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 1423/295, 7359/1243?
Answer: GCF of Numerators as per given numbers 1423/295, 7359/1243 is
GCF of Numerators i.e. for 1423,7359 is 1
LCM of denominators i.e. for 295,1243 is 366685.
Thus, GCF of Fractions is 1/366685.Finally, GCF of Fractions for 1423/295, 7359/1243 is 1/366685.