GCF of 1304/795, 7606/2262
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1304/795, 7606/2262 i.e 2/599430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1304/795, 7606/2262.
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 1304/795,7606/2262?
Given fractions are 1304/795,7606/2262
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 1304/795,7606/2262, numerators are 1304,7606
Denominators are 795,2262
The GCF of 1304,7606 is 2 .
LCM of 795,2262 is 599430.
The greatest common factor of 1304/795,7606/2262 = [GCF of 1304,7606]/[LCM of 795,2262]= 2/599430
Therefore, the GCF of 1304/795,7606/2262 is 2/599430.
To find the highest common factor of 1304,7606, we have to find the factors of both numbers and list the highest common factor.
The factors of 1304 are 1, 2, 4, 8, 163, 326, 652, 1304
The factors of 7606 are 1, 2, 3803, 7606
The HCF of 1304,7606 is 2.
Lets's calculate GCF of 1304,7606
| 2 | 1304, 7606 |
| 652, 3803 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1304,7606 By Matching Biggest Common Factor Method
Now, list down the factors of 1304
:1,2,4,8,163,326,652,1304
Now, list down the factors of 7606
:1,2,3803,7606
Greatest Common Factor
We found the factors 1304,7606 . The biggest common factor number is the GCF number.
So the greatest common factor 1304,7606 is 2.
Lets's calculate LCM of 795,2262
| 3 | 795, 2262 |
| 265, 754 |
∴ So the LCM of the given numbers is 3 x 265 x 754 = 599430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/599430
Therefore, the GCF of Fractions 1304/795,7606/2262 is 2/599430
Least Common Multiple of 795,2262 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 795,2262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(795,2262) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(795,2262) x common factors =3 x 1 = 3
LCM(795,2262) = ( 795 × 2262 ) / 3
LCM(795,2262) = 1798290 / 3
LCM(795,2262) = 599430
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1304/795, 7606/2262
1. What is the HCF of 1304,7606?
The HCF of 1304,7606 is 2
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 1304/795, 7606/2262?
Answer: GCF of Numerators as per given numbers 1304/795, 7606/2262 is
GCF of Numerators i.e. for 1304,7606 is 2
LCM of denominators i.e. for 795,2262 is 599430.
Thus, GCF of Fractions is 2/599430.Finally, GCF of Fractions for 1304/795, 7606/2262 is 2/599430.