Use our free GCF of Fractions Calculator tool to compute the GCF of 716/959, 580/127 i.e 4/121793 easily. The following is the detailed procedure to determine the greatest common factor of fractions 716/959, 580/127.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 716/959,580/127
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 716/959,580/127, numerators are 716,580
Denominators are 959,127
The GCF of 716,580 is 4 .
LCM of 959,127 is 121793.
The greatest common factor of 716/959,580/127 = [GCF of 716,580]/[LCM of 959,127]= 4/121793
Therefore, the GCF of 716/959,580/127 is 4/121793.
To find the highest common factor of 716,580, 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 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
The HCF of 716,580 is 4.
Lets's calculate GCF of 716,580
2 | 716, 580 |
2 | 358, 290 |
179, 145 |
∴ 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 580
:1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 716,580 . The biggest common factor number is the GCF number.
So the greatest common factor 716,580 is 4.
Lets's calculate LCM of 959,127
Given numbers has no common factors except 1. So, there LCM is their product i.e 121793
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/121793
Therefore, the GCF of Fractions 716/959,580/127 is 4/121793
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 959,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(959,127) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(959,127) x common factors =1 x 1 = 1
LCM(959,127) = ( 959 × 127 ) / 1
LCM(959,127) = 121793 / 1
LCM(959,127) = 121793
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 716,580?
The HCF of 716,580 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 716/959, 580/127?
Answer: GCF of Numerators as per given numbers 716/959, 580/127 is
GCF of Numerators i.e. for 716,580 is 4
LCM of denominators i.e. for 959,127 is 121793.
Thus, GCF of Fractions is 4/121793.Finally, GCF of Fractions for 716/959, 580/127 is 4/121793.