Use our free GCF of Fractions Calculator tool to compute the GCF of 100/726, 487/674 i.e 1/244662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 100/726, 487/674.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 100/726,487/674
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 100/726,487/674, numerators are 100,487
Denominators are 726,674
The GCF of 100,487 is 1 .
LCM of 726,674 is 244662.
The greatest common factor of 100/726,487/674 = [GCF of 100,487]/[LCM of 726,674]= 1/244662
Therefore, the GCF of 100/726,487/674 is 1/244662.
To find the highest common factor of 100,487, we have to find the factors of both numbers and list the highest common factor.
The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100
The factors of 487 are 1, 487
The HCF of 100,487 is 1.
Lets's calculate GCF of 100,487
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 100
:1,2,4,5,10,20,25,50,100
Now, list down the factors of 487
:1,487
Greatest Common Factor
We found the factors 100,487 . The biggest common factor number is the GCF number.
So the greatest common factor 100,487 is 1.
Lets's calculate LCM of 726,674
2 | 726, 674 |
363, 337 |
∴ So the LCM of the given numbers is 2 x 363 x 337 = 244662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/244662
Therefore, the GCF of Fractions 100/726,487/674 is 1/244662
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 726,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(726,674) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(726,674) x common factors =2 x 1 = 2
LCM(726,674) = ( 726 × 674 ) / 2
LCM(726,674) = 489324 / 2
LCM(726,674) = 244662
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 100,487?
The HCF of 100,487 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 100/726, 487/674?
Answer: GCF of Numerators as per given numbers 100/726, 487/674 is
GCF of Numerators i.e. for 100,487 is 1
LCM of denominators i.e. for 726,674 is 244662.
Thus, GCF of Fractions is 1/244662.Finally, GCF of Fractions for 100/726, 487/674 is 1/244662.