Use our free GCF of Fractions Calculator tool to compute the GCF of 79/955, 78/555, 113/796 i.e 1/84379980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 79/955, 78/555, 113/796.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 79/955,78/555,113/796
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 79/955,78/555,113/796, numerators are 79,78,113
Denominators are 955,555,796
The GCF of 79,78,113 is 1 .
LCM of 955,555,796 is 84379980.
The greatest common factor of 79/955,78/555,113/796 = [GCF of 79,78,113]/[LCM of 955,555,796]= 1/84379980
Therefore, the GCF of 79/955,78/555,113/796 is 1/84379980.
To find the highest common factor of 79,78,113, we have to find the factors of both numbers and list the highest common factor.
The factors of 79 are 1, 79
The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
The factors of 113 are 1, 113
The HCF of 79,78,113 is 1.
Lets's calculate GCF of 79,78,113
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 79
:1,79
Now, list down the factors of 78
:1,2,3,6,13,26,39,78
Now, list down the factors of 113
:1,113
Greatest Common Factor
We found the factors 79,78,113 . The biggest common factor number is the GCF number.
So the greatest common factor 79,78,113 is 1.
Lets's calculate LCM of 955,555,796
5 | 955, 555, 796 |
191, 111, 796 |
∴ So the LCM of the given numbers is 5 x 191 x 111 x 796 = 84379980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84379980
Therefore, the GCF of Fractions 79/955,78/555,113/796 is 1/84379980
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 955,555,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(955,555,796) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(955,555,796) x common factors =1 x 5 = 5
LCM(955,555,796) = ( 955 × 555 × 796 ) / 5
LCM(955,555,796) = 421899900 / 5
LCM(955,555,796) = 84379980
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 79,78,113?
The HCF of 79,78,113 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 79/955, 78/555, 113/796?
Answer: GCF of Numerators as per given numbers 79/955, 78/555, 113/796 is
GCF of Numerators i.e. for 79,78,113 is 1
LCM of denominators i.e. for 955,555,796 is 84379980.
Thus, GCF of Fractions is 1/84379980.Finally, GCF of Fractions for 79/955, 78/555, 113/796 is 1/84379980.