GCF of 750/258, 517/144
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 750/258, 517/144 i.e 1/6192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 750/258, 517/144.
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 750/258,517/144?
Given fractions are 750/258,517/144
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 750/258,517/144, numerators are 750,517
Denominators are 258,144
The GCF of 750,517 is 1 .
LCM of 258,144 is 6192.
The greatest common factor of 750/258,517/144 = [GCF of 750,517]/[LCM of 258,144]= 1/6192
Therefore, the GCF of 750/258,517/144 is 1/6192.
To find the highest common factor of 750,517, we have to find the factors of both numbers and list the highest common factor.
The factors of 750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
The factors of 517 are 1, 11, 47, 517
The HCF of 750,517 is 1.
Lets's calculate GCF of 750,517
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 750,517 By Matching Biggest Common Factor Method
Now, list down the factors of 750
:1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750
Now, list down the factors of 517
:1,11,47,517
Greatest Common Factor
We found the factors 750,517 . The biggest common factor number is the GCF number.
So the greatest common factor 750,517 is 1.
Lets's calculate LCM of 258,144
| 2 | 258, 144 |
| 3 | 129, 72 |
| 43, 24 |
∴ So the LCM of the given numbers is 2 x 3 x 43 x 24 = 6192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6192
Therefore, the GCF of Fractions 750/258,517/144 is 1/6192
Least Common Multiple of 258,144 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 258,144 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,144) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(258,144) x common factors =6 x 1 = 6
LCM(258,144) = ( 258 × 144 ) / 6
LCM(258,144) = 37152 / 6
LCM(258,144) = 6192
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FAQs on GCF of Fractions of 750/258, 517/144
1. What is the HCF of 750,517?
The HCF of 750,517 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 750/258, 517/144?
Answer: GCF of Numerators as per given numbers 750/258, 517/144 is
GCF of Numerators i.e. for 750,517 is 1
LCM of denominators i.e. for 258,144 is 6192.
Thus, GCF of Fractions is 1/6192.Finally, GCF of Fractions for 750/258, 517/144 is 1/6192.