Use our free GCF of Fractions Calculator tool to compute the GCF of 79/58, 956/29, 500/357 i.e 1/20706 easily. The following is the detailed procedure to determine the greatest common factor of fractions 79/58, 956/29, 500/357.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 79/58,956/29,500/357
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 79/58,956/29,500/357, numerators are 79,956,500
Denominators are 58,29,357
The GCF of 79,956,500 is 1 .
LCM of 58,29,357 is 20706.
The greatest common factor of 79/58,956/29,500/357 = [GCF of 79,956,500]/[LCM of 58,29,357]= 1/20706
Therefore, the GCF of 79/58,956/29,500/357 is 1/20706.
To find the highest common factor of 79,956,500, 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 956 are 1, 2, 4, 239, 478, 956
The factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
The HCF of 79,956,500 is 1.
Lets's calculate GCF of 79,956,500
∴ 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 956
:1,2,4,239,478,956
Now, list down the factors of 500
:1,2,4,5,10,20,25,50,100,125,250,500
Greatest Common Factor
We found the factors 79,956,500 . The biggest common factor number is the GCF number.
So the greatest common factor 79,956,500 is 1.
Lets's calculate LCM of 58,29,357
29 | 58, 29, 357 |
2, 1, 357 |
∴ So the LCM of the given numbers is 29 x 2 x 1 x 357 = 20706
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20706
Therefore, the GCF of Fractions 79/58,956/29,500/357 is 1/20706
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 58,29,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,29,357) = 1
common factors(in case of two or more numbers have common factors) = 29
GCF(58,29,357) x common factors =1 x 29 = 29
LCM(58,29,357) = ( 58 × 29 × 357 ) / 29
LCM(58,29,357) = 600474 / 29
LCM(58,29,357) = 20706
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 79,956,500?
The HCF of 79,956,500 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 79/58, 956/29, 500/357?
Answer: GCF of Numerators as per given numbers 79/58, 956/29, 500/357 is
GCF of Numerators i.e. for 79,956,500 is 1
LCM of denominators i.e. for 58,29,357 is 20706.
Thus, GCF of Fractions is 1/20706.Finally, GCF of Fractions for 79/58, 956/29, 500/357 is 1/20706.