Use our free GCF of Fractions Calculator tool to compute the GCF of 716/353, 740/569 i.e 4/200857 easily. The following is the detailed procedure to determine the greatest common factor of fractions 716/353, 740/569.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 716/353,740/569
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 716/353,740/569, numerators are 716,740
Denominators are 353,569
The GCF of 716,740 is 4 .
LCM of 353,569 is 200857.
The greatest common factor of 716/353,740/569 = [GCF of 716,740]/[LCM of 353,569]= 4/200857
Therefore, the GCF of 716/353,740/569 is 4/200857.
To find the highest common factor of 716,740, we have to find the factors of both numbers and list the highest common factor.
The factors of 716 are 1, 2, 4, 179, 358, 716
The factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
The HCF of 716,740 is 4.
Lets's calculate GCF of 716,740
2 | 716, 740 |
2 | 358, 370 |
179, 185 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 716
:1,2,4,179,358,716
Now, list down the factors of 740
:1,2,4,5,10,20,37,74,148,185,370,740
Greatest Common Factor
We found the factors 716,740 . The biggest common factor number is the GCF number.
So the greatest common factor 716,740 is 4.
Lets's calculate LCM of 353,569
Given numbers has no common factors except 1. So, there LCM is their product i.e 200857
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/200857
Therefore, the GCF of Fractions 716/353,740/569 is 4/200857
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 353,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(353,569) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(353,569) x common factors =1 x 1 = 1
LCM(353,569) = ( 353 × 569 ) / 1
LCM(353,569) = 200857 / 1
LCM(353,569) = 200857
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 716,740?
The HCF of 716,740 is 4
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 716/353, 740/569?
Answer: GCF of Numerators as per given numbers 716/353, 740/569 is
GCF of Numerators i.e. for 716,740 is 4
LCM of denominators i.e. for 353,569 is 200857.
Thus, GCF of Fractions is 4/200857.Finally, GCF of Fractions for 716/353, 740/569 is 4/200857.