Use our free GCF of Fractions Calculator tool to compute the GCF of 359/76, 940/724 i.e 1/13756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 359/76, 940/724.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 359/76,940/724
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 359/76,940/724, numerators are 359,940
Denominators are 76,724
The GCF of 359,940 is 1 .
LCM of 76,724 is 13756.
The greatest common factor of 359/76,940/724 = [GCF of 359,940]/[LCM of 76,724]= 1/13756
Therefore, the GCF of 359/76,940/724 is 1/13756.
To find the highest common factor of 359,940, we have to find the factors of both numbers and list the highest common factor.
The factors of 359 are 1, 359
The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
The HCF of 359,940 is 1.
Lets's calculate GCF of 359,940
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 359
:1,359
Now, list down the factors of 940
:1,2,4,5,10,20,47,94,188,235,470,940
Greatest Common Factor
We found the factors 359,940 . The biggest common factor number is the GCF number.
So the greatest common factor 359,940 is 1.
Lets's calculate LCM of 76,724
2 | 76, 724 |
2 | 38, 362 |
19, 181 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 181 = 13756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13756
Therefore, the GCF of Fractions 359/76,940/724 is 1/13756
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 76,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,724) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(76,724) x common factors =4 x 1 = 4
LCM(76,724) = ( 76 × 724 ) / 4
LCM(76,724) = 55024 / 4
LCM(76,724) = 13756
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 359,940?
The HCF of 359,940 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 359/76, 940/724?
Answer: GCF of Numerators as per given numbers 359/76, 940/724 is
GCF of Numerators i.e. for 359,940 is 1
LCM of denominators i.e. for 76,724 is 13756.
Thus, GCF of Fractions is 1/13756.Finally, GCF of Fractions for 359/76, 940/724 is 1/13756.