GCF of 760/390, 1330/614
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 760/390, 1330/614 i.e 190/119730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 760/390, 1330/614.
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 760/390,1330/614?
Given fractions are 760/390,1330/614
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 760/390,1330/614, numerators are 760,1330
Denominators are 390,614
The GCF of 760,1330 is 190 .
LCM of 390,614 is 119730.
The greatest common factor of 760/390,1330/614 = [GCF of 760,1330]/[LCM of 390,614]= 190/119730
Therefore, the GCF of 760/390,1330/614 is 190/119730.
To find the highest common factor of 760,1330, we have to find the factors of both numbers and list the highest common factor.
The factors of 760 are 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
The factors of 1330 are 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330
The HCF of 760,1330 is 190.
Lets's calculate GCF of 760,1330
| 2 | 760, 1330 |
| 5 | 380, 665 |
| 19 | 76, 133 |
| 4, 7 |
∴ So the GCF of the given numbers is 2 x 5 x 19 = 190
Greatest Common Factor of 760,1330 By Matching Biggest Common Factor Method
Now, list down the factors of 760
:1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Now, list down the factors of 1330
:1,2,5,7,10,14,19,35,38,70,95,133,190,266,665,1330
Greatest Common Factor
We found the factors 760,1330 . The biggest common factor number is the GCF number.
So the greatest common factor 760,1330 is 190.
Lets's calculate LCM of 390,614
| 2 | 390, 614 |
| 195, 307 |
∴ So the LCM of the given numbers is 2 x 195 x 307 = 119730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 190/119730
Therefore, the GCF of Fractions 760/390,1330/614 is 190/119730
Least Common Multiple of 390,614 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 390,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,614) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(390,614) x common factors =2 x 1 = 2
LCM(390,614) = ( 390 × 614 ) / 2
LCM(390,614) = 239460 / 2
LCM(390,614) = 119730
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 760/390, 1330/614
1. What is the HCF of 760,1330?
The HCF of 760,1330 is 190
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 760/390, 1330/614?
Answer: GCF of Numerators as per given numbers 760/390, 1330/614 is
GCF of Numerators i.e. for 760,1330 is 190
LCM of denominators i.e. for 390,614 is 119730.
Thus, GCF of Fractions is 190/119730.Finally, GCF of Fractions for 760/390, 1330/614 is 190/119730.