Use our free GCF of Fractions Calculator tool to compute the GCF of 791/390, 828/130 i.e 1/390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 791/390, 828/130.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 791/390,828/130
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 791/390,828/130, numerators are 791,828
Denominators are 390,130
The GCF of 791,828 is 1 .
LCM of 390,130 is 390.
The greatest common factor of 791/390,828/130 = [GCF of 791,828]/[LCM of 390,130]= 1/390
Therefore, the GCF of 791/390,828/130 is 1/390.
To find the highest common factor of 791,828, we have to find the factors of both numbers and list the highest common factor.
The factors of 791 are 1, 7, 113, 791
The factors of 828 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
The HCF of 791,828 is 1.
Lets's calculate GCF of 791,828
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 791
:1,7,113,791
Now, list down the factors of 828
:1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Greatest Common Factor
We found the factors 791,828 . The biggest common factor number is the GCF number.
So the greatest common factor 791,828 is 1.
Lets's calculate LCM of 390,130
2 | 390, 130 |
5 | 195, 65 |
13 | 39, 13 |
3, 1 |
∴ So the LCM of the given numbers is 2 x 5 x 13 x 3 x 1 = 390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/390
Therefore, the GCF of Fractions 791/390,828/130 is 1/390
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 390,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,130) = 130
common factors(in case of two or more numbers have common factors) = 1
GCF(390,130) x common factors =130 x 1 = 130
LCM(390,130) = ( 390 × 130 ) / 130
LCM(390,130) = 50700 / 130
LCM(390,130) = 390
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 791,828?
The HCF of 791,828 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 791/390, 828/130?
Answer: GCF of Numerators as per given numbers 791/390, 828/130 is
GCF of Numerators i.e. for 791,828 is 1
LCM of denominators i.e. for 390,130 is 390.
Thus, GCF of Fractions is 1/390.Finally, GCF of Fractions for 791/390, 828/130 is 1/390.