GCF of 751/78, 260/309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 751/78, 260/309 i.e 1/8034 easily. The following is the detailed procedure to determine the greatest common factor of fractions 751/78, 260/309.
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 751/78,260/309?
Given fractions are 751/78,260/309
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 751/78,260/309, numerators are 751,260
Denominators are 78,309
The GCF of 751,260 is 1 .
LCM of 78,309 is 8034.
The greatest common factor of 751/78,260/309 = [GCF of 751,260]/[LCM of 78,309]= 1/8034
Therefore, the GCF of 751/78,260/309 is 1/8034.
To find the highest common factor of 751,260, we have to find the factors of both numbers and list the highest common factor.
The factors of 751 are 1, 751
The factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
The HCF of 751,260 is 1.
Lets's calculate GCF of 751,260
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 751,260 By Matching Biggest Common Factor Method
Now, list down the factors of 751
:1,751
Now, list down the factors of 260
:1,2,4,5,10,13,20,26,52,65,130,260
Greatest Common Factor
We found the factors 751,260 . The biggest common factor number is the GCF number.
So the greatest common factor 751,260 is 1.
Lets's calculate LCM of 78,309
| 3 | 78, 309 |
| 26, 103 |
∴ So the LCM of the given numbers is 3 x 26 x 103 = 8034
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8034
Therefore, the GCF of Fractions 751/78,260/309 is 1/8034
Least Common Multiple of 78,309 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 78,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,309) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(78,309) x common factors =3 x 1 = 3
LCM(78,309) = ( 78 × 309 ) / 3
LCM(78,309) = 24102 / 3
LCM(78,309) = 8034
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 751/78, 260/309
1. What is the HCF of 751,260?
The HCF of 751,260 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 751/78, 260/309?
Answer: GCF of Numerators as per given numbers 751/78, 260/309 is
GCF of Numerators i.e. for 751,260 is 1
LCM of denominators i.e. for 78,309 is 8034.
Thus, GCF of Fractions is 1/8034.Finally, GCF of Fractions for 751/78, 260/309 is 1/8034.