Use our free GCF of Fractions Calculator tool to compute the GCF of 720/359, 683/248 i.e 1/89032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 720/359, 683/248.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 720/359,683/248
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 720/359,683/248, numerators are 720,683
Denominators are 359,248
The GCF of 720,683 is 1 .
LCM of 359,248 is 89032.
The greatest common factor of 720/359,683/248 = [GCF of 720,683]/[LCM of 359,248]= 1/89032
Therefore, the GCF of 720/359,683/248 is 1/89032.
To find the highest common factor of 720,683, we have to find the factors of both numbers and list the highest common factor.
The factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
The factors of 683 are 1, 683
The HCF of 720,683 is 1.
Lets's calculate GCF of 720,683
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 720
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Now, list down the factors of 683
:1,683
Greatest Common Factor
We found the factors 720,683 . The biggest common factor number is the GCF number.
So the greatest common factor 720,683 is 1.
Lets's calculate LCM of 359,248
Given numbers has no common factors except 1. So, there LCM is their product i.e 89032
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89032
Therefore, the GCF of Fractions 720/359,683/248 is 1/89032
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 359,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(359,248) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(359,248) x common factors =1 x 1 = 1
LCM(359,248) = ( 359 × 248 ) / 1
LCM(359,248) = 89032 / 1
LCM(359,248) = 89032
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 720,683?
The HCF of 720,683 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 720/359, 683/248?
Answer: GCF of Numerators as per given numbers 720/359, 683/248 is
GCF of Numerators i.e. for 720,683 is 1
LCM of denominators i.e. for 359,248 is 89032.
Thus, GCF of Fractions is 1/89032.Finally, GCF of Fractions for 720/359, 683/248 is 1/89032.