Use our free GCF of Fractions Calculator tool to compute the GCF of 826/728, 370/199 i.e 2/144872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 826/728, 370/199.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 826/728,370/199
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 826/728,370/199, numerators are 826,370
Denominators are 728,199
The GCF of 826,370 is 2 .
LCM of 728,199 is 144872.
The greatest common factor of 826/728,370/199 = [GCF of 826,370]/[LCM of 728,199]= 2/144872
Therefore, the GCF of 826/728,370/199 is 2/144872.
To find the highest common factor of 826,370, we have to find the factors of both numbers and list the highest common factor.
The factors of 826 are 1, 2, 7, 14, 59, 118, 413, 826
The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370
The HCF of 826,370 is 2.
Lets's calculate GCF of 826,370
2 | 826, 370 |
413, 185 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 826
:1,2,7,14,59,118,413,826
Now, list down the factors of 370
:1,2,5,10,37,74,185,370
Greatest Common Factor
We found the factors 826,370 . The biggest common factor number is the GCF number.
So the greatest common factor 826,370 is 2.
Lets's calculate LCM of 728,199
Given numbers has no common factors except 1. So, there LCM is their product i.e 144872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/144872
Therefore, the GCF of Fractions 826/728,370/199 is 2/144872
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 728,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,199) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(728,199) x common factors =1 x 1 = 1
LCM(728,199) = ( 728 × 199 ) / 1
LCM(728,199) = 144872 / 1
LCM(728,199) = 144872
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 826,370?
The HCF of 826,370 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 826/728, 370/199?
Answer: GCF of Numerators as per given numbers 826/728, 370/199 is
GCF of Numerators i.e. for 826,370 is 2
LCM of denominators i.e. for 728,199 is 144872.
Thus, GCF of Fractions is 2/144872.Finally, GCF of Fractions for 826/728, 370/199 is 2/144872.