Use our free GCF of Fractions Calculator tool to compute the GCF of 1695/175, 1765/5100 i.e 5/35700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1695/175, 1765/5100.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1695/175,1765/5100
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 1695/175,1765/5100, numerators are 1695,1765
Denominators are 175,5100
The GCF of 1695,1765 is 5 .
LCM of 175,5100 is 35700.
The greatest common factor of 1695/175,1765/5100 = [GCF of 1695,1765]/[LCM of 175,5100]= 5/35700
Therefore, the GCF of 1695/175,1765/5100 is 5/35700.
To find the highest common factor of 1695,1765, we have to find the factors of both numbers and list the highest common factor.
The factors of 1695 are 1, 3, 5, 15, 113, 339, 565, 1695
The factors of 1765 are 1, 5, 353, 1765
The HCF of 1695,1765 is 5.
Lets's calculate GCF of 1695,1765
5 | 1695, 1765 |
339, 353 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 1695
:1,3,5,15,113,339,565,1695
Now, list down the factors of 1765
:1,5,353,1765
Greatest Common Factor
We found the factors 1695,1765 . The biggest common factor number is the GCF number.
So the greatest common factor 1695,1765 is 5.
Lets's calculate LCM of 175,5100
5 | 175, 5100 |
5 | 35, 1020 |
7, 204 |
∴ So the LCM of the given numbers is 5 x 5 x 7 x 204 = 35700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/35700
Therefore, the GCF of Fractions 1695/175,1765/5100 is 5/35700
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 175,5100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(175,5100) = 25
common factors(in case of two or more numbers have common factors) = 1
GCF(175,5100) x common factors =25 x 1 = 25
LCM(175,5100) = ( 175 × 5100 ) / 25
LCM(175,5100) = 892500 / 25
LCM(175,5100) = 35700
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1695,1765?
The HCF of 1695,1765 is 5
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 1695/175, 1765/5100?
Answer: GCF of Numerators as per given numbers 1695/175, 1765/5100 is
GCF of Numerators i.e. for 1695,1765 is 5
LCM of denominators i.e. for 175,5100 is 35700.
Thus, GCF of Fractions is 5/35700.Finally, GCF of Fractions for 1695/175, 1765/5100 is 5/35700.