Use our free GCF of Fractions Calculator tool to compute the GCF of 716/142, 506/440 i.e 2/31240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 716/142, 506/440.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 716/142,506/440
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 716/142,506/440, numerators are 716,506
Denominators are 142,440
The GCF of 716,506 is 2 .
LCM of 142,440 is 31240.
The greatest common factor of 716/142,506/440 = [GCF of 716,506]/[LCM of 142,440]= 2/31240
Therefore, the GCF of 716/142,506/440 is 2/31240.
To find the highest common factor of 716,506, 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 506 are 1, 2, 11, 22, 23, 46, 253, 506
The HCF of 716,506 is 2.
Lets's calculate GCF of 716,506
2 | 716, 506 |
358, 253 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 716
:1,2,4,179,358,716
Now, list down the factors of 506
:1,2,11,22,23,46,253,506
Greatest Common Factor
We found the factors 716,506 . The biggest common factor number is the GCF number.
So the greatest common factor 716,506 is 2.
Lets's calculate LCM of 142,440
2 | 142, 440 |
71, 220 |
∴ So the LCM of the given numbers is 2 x 71 x 220 = 31240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/31240
Therefore, the GCF of Fractions 716/142,506/440 is 2/31240
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 142,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,440) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(142,440) x common factors =2 x 1 = 2
LCM(142,440) = ( 142 × 440 ) / 2
LCM(142,440) = 62480 / 2
LCM(142,440) = 31240
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 716,506?
The HCF of 716,506 is 2
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 716/142, 506/440?
Answer: GCF of Numerators as per given numbers 716/142, 506/440 is
GCF of Numerators i.e. for 716,506 is 2
LCM of denominators i.e. for 142,440 is 31240.
Thus, GCF of Fractions is 2/31240.Finally, GCF of Fractions for 716/142, 506/440 is 2/31240.