GCF of 2269/409, 5326/305
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2269/409, 5326/305 i.e 1/124745 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2269/409, 5326/305.
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 2269/409,5326/305?
Given fractions are 2269/409,5326/305
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 2269/409,5326/305, numerators are 2269,5326
Denominators are 409,305
The GCF of 2269,5326 is 1 .
LCM of 409,305 is 124745.
The greatest common factor of 2269/409,5326/305 = [GCF of 2269,5326]/[LCM of 409,305]= 1/124745
Therefore, the GCF of 2269/409,5326/305 is 1/124745.
To find the highest common factor of 2269,5326, we have to find the factors of both numbers and list the highest common factor.
The factors of 2269 are 1, 2269
The factors of 5326 are 1, 2, 2663, 5326
The HCF of 2269,5326 is 1.
Lets's calculate GCF of 2269,5326
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2269,5326 By Matching Biggest Common Factor Method
Now, list down the factors of 2269
:1,2269
Now, list down the factors of 5326
:1,2,2663,5326
Greatest Common Factor
We found the factors 2269,5326 . The biggest common factor number is the GCF number.
So the greatest common factor 2269,5326 is 1.
Lets's calculate LCM of 409,305
Given numbers has no common factors except 1. So, there LCM is their product i.e 124745
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124745
Therefore, the GCF of Fractions 2269/409,5326/305 is 1/124745
Least Common Multiple of 409,305 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 409,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,305) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,305) x common factors =1 x 1 = 1
LCM(409,305) = ( 409 × 305 ) / 1
LCM(409,305) = 124745 / 1
LCM(409,305) = 124745
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FAQs on GCF of Fractions of 2269/409, 5326/305
1. What is the HCF of 2269,5326?
The HCF of 2269,5326 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 2269/409, 5326/305?
Answer: GCF of Numerators as per given numbers 2269/409, 5326/305 is
GCF of Numerators i.e. for 2269,5326 is 1
LCM of denominators i.e. for 409,305 is 124745.
Thus, GCF of Fractions is 1/124745.Finally, GCF of Fractions for 2269/409, 5326/305 is 1/124745.