GCF of 4507/729, 9126/305
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4507/729, 9126/305 i.e 1/222345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4507/729, 9126/305.
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 4507/729,9126/305?
Given fractions are 4507/729,9126/305
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 4507/729,9126/305, numerators are 4507,9126
Denominators are 729,305
The GCF of 4507,9126 is 1 .
LCM of 729,305 is 222345.
The greatest common factor of 4507/729,9126/305 = [GCF of 4507,9126]/[LCM of 729,305]= 1/222345
Therefore, the GCF of 4507/729,9126/305 is 1/222345.
To find the highest common factor of 4507,9126, we have to find the factors of both numbers and list the highest common factor.
The factors of 4507 are 1, 4507
The factors of 9126 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 169, 234, 338, 351, 507, 702, 1014, 1521, 3042, 4563, 9126
The HCF of 4507,9126 is 1.
Lets's calculate GCF of 4507,9126
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4507,9126 By Matching Biggest Common Factor Method
Now, list down the factors of 4507
:1,4507
Now, list down the factors of 9126
:1,2,3,6,9,13,18,26,27,39,54,78,117,169,234,338,351,507,702,1014,1521,3042,4563,9126
Greatest Common Factor
We found the factors 4507,9126 . The biggest common factor number is the GCF number.
So the greatest common factor 4507,9126 is 1.
Lets's calculate LCM of 729,305
Given numbers has no common factors except 1. So, there LCM is their product i.e 222345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/222345
Therefore, the GCF of Fractions 4507/729,9126/305 is 1/222345
Least Common Multiple of 729,305 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 729,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,305) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(729,305) x common factors =1 x 1 = 1
LCM(729,305) = ( 729 × 305 ) / 1
LCM(729,305) = 222345 / 1
LCM(729,305) = 222345
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FAQs on GCF of Fractions of 4507/729, 9126/305
1. What is the HCF of 4507,9126?
The HCF of 4507,9126 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 4507/729, 9126/305?
Answer: GCF of Numerators as per given numbers 4507/729, 9126/305 is
GCF of Numerators i.e. for 4507,9126 is 1
LCM of denominators i.e. for 729,305 is 222345.
Thus, GCF of Fractions is 1/222345.Finally, GCF of Fractions for 4507/729, 9126/305 is 1/222345.