Use our free GCF of Fractions Calculator tool to compute the GCF of 895/523, 165/528 i.e 5/276144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 895/523, 165/528.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 895/523,165/528
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 895/523,165/528, numerators are 895,165
Denominators are 523,528
The GCF of 895,165 is 5 .
LCM of 523,528 is 276144.
The greatest common factor of 895/523,165/528 = [GCF of 895,165]/[LCM of 523,528]= 5/276144
Therefore, the GCF of 895/523,165/528 is 5/276144.
To find the highest common factor of 895,165, we have to find the factors of both numbers and list the highest common factor.
The factors of 895 are 1, 5, 179, 895
The factors of 165 are 1, 3, 5, 11, 15, 33, 55, 165
The HCF of 895,165 is 5.
Lets's calculate GCF of 895,165
5 | 895, 165 |
179, 33 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 895
:1,5,179,895
Now, list down the factors of 165
:1,3,5,11,15,33,55,165
Greatest Common Factor
We found the factors 895,165 . The biggest common factor number is the GCF number.
So the greatest common factor 895,165 is 5.
Lets's calculate LCM of 523,528
Given numbers has no common factors except 1. So, there LCM is their product i.e 276144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/276144
Therefore, the GCF of Fractions 895/523,165/528 is 5/276144
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 523,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(523,528) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(523,528) x common factors =1 x 1 = 1
LCM(523,528) = ( 523 × 528 ) / 1
LCM(523,528) = 276144 / 1
LCM(523,528) = 276144
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 895,165?
The HCF of 895,165 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 895/523, 165/528?
Answer: GCF of Numerators as per given numbers 895/523, 165/528 is
GCF of Numerators i.e. for 895,165 is 5
LCM of denominators i.e. for 523,528 is 276144.
Thus, GCF of Fractions is 5/276144.Finally, GCF of Fractions for 895/523, 165/528 is 5/276144.