Use our free GCF of Fractions Calculator tool to compute the GCF of 599/695, 891/735 i.e 1/102165 easily. The following is the detailed procedure to determine the greatest common factor of fractions 599/695, 891/735.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 599/695,891/735
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 599/695,891/735, numerators are 599,891
Denominators are 695,735
The GCF of 599,891 is 1 .
LCM of 695,735 is 102165.
The greatest common factor of 599/695,891/735 = [GCF of 599,891]/[LCM of 695,735]= 1/102165
Therefore, the GCF of 599/695,891/735 is 1/102165.
To find the highest common factor of 599,891, we have to find the factors of both numbers and list the highest common factor.
The factors of 599 are 1, 599
The factors of 891 are 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
The HCF of 599,891 is 1.
Lets's calculate GCF of 599,891
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 599
:1,599
Now, list down the factors of 891
:1,3,9,11,27,33,81,99,297,891
Greatest Common Factor
We found the factors 599,891 . The biggest common factor number is the GCF number.
So the greatest common factor 599,891 is 1.
Lets's calculate LCM of 695,735
5 | 695, 735 |
139, 147 |
∴ So the LCM of the given numbers is 5 x 139 x 147 = 102165
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102165
Therefore, the GCF of Fractions 599/695,891/735 is 1/102165
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 695,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(695,735) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(695,735) x common factors =5 x 1 = 5
LCM(695,735) = ( 695 × 735 ) / 5
LCM(695,735) = 510825 / 5
LCM(695,735) = 102165
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 599,891?
The HCF of 599,891 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 599/695, 891/735?
Answer: GCF of Numerators as per given numbers 599/695, 891/735 is
GCF of Numerators i.e. for 599,891 is 1
LCM of denominators i.e. for 695,735 is 102165.
Thus, GCF of Fractions is 1/102165.Finally, GCF of Fractions for 599/695, 891/735 is 1/102165.