GCF of 7512/309, 5129/8889
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7512/309, 5129/8889 i.e 1/915567 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7512/309, 5129/8889.
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 7512/309,5129/8889?
Given fractions are 7512/309,5129/8889
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 7512/309,5129/8889, numerators are 7512,5129
Denominators are 309,8889
The GCF of 7512,5129 is 1 .
LCM of 309,8889 is 915567.
The greatest common factor of 7512/309,5129/8889 = [GCF of 7512,5129]/[LCM of 309,8889]= 1/915567
Therefore, the GCF of 7512/309,5129/8889 is 1/915567.
To find the highest common factor of 7512,5129, we have to find the factors of both numbers and list the highest common factor.
The factors of 7512 are 1, 2, 3, 4, 6, 8, 12, 24, 313, 626, 939, 1252, 1878, 2504, 3756, 7512
The factors of 5129 are 1, 23, 223, 5129
The HCF of 7512,5129 is 1.
Lets's calculate GCF of 7512,5129
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7512,5129 By Matching Biggest Common Factor Method
Now, list down the factors of 7512
:1,2,3,4,6,8,12,24,313,626,939,1252,1878,2504,3756,7512
Now, list down the factors of 5129
:1,23,223,5129
Greatest Common Factor
We found the factors 7512,5129 . The biggest common factor number is the GCF number.
So the greatest common factor 7512,5129 is 1.
Lets's calculate LCM of 309,8889
| 3 | 309, 8889 |
| 103, 2963 |
∴ So the LCM of the given numbers is 3 x 103 x 2963 = 915567
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/915567
Therefore, the GCF of Fractions 7512/309,5129/8889 is 1/915567
Least Common Multiple of 309,8889 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 309,8889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,8889) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(309,8889) x common factors =3 x 1 = 3
LCM(309,8889) = ( 309 × 8889 ) / 3
LCM(309,8889) = 2746701 / 3
LCM(309,8889) = 915567
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7512/309, 5129/8889
1. What is the HCF of 7512,5129?
The HCF of 7512,5129 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 7512/309, 5129/8889?
Answer: GCF of Numerators as per given numbers 7512/309, 5129/8889 is
GCF of Numerators i.e. for 7512,5129 is 1
LCM of denominators i.e. for 309,8889 is 915567.
Thus, GCF of Fractions is 1/915567.Finally, GCF of Fractions for 7512/309, 5129/8889 is 1/915567.