Use our free GCF of Fractions Calculator tool to compute the GCF of 960/175, 527/468 i.e 1/81900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 960/175, 527/468.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 960/175,527/468
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 960/175,527/468, numerators are 960,527
Denominators are 175,468
The GCF of 960,527 is 1 .
LCM of 175,468 is 81900.
The greatest common factor of 960/175,527/468 = [GCF of 960,527]/[LCM of 175,468]= 1/81900
Therefore, the GCF of 960/175,527/468 is 1/81900.
To find the highest common factor of 960,527, we have to find the factors of both numbers and list the highest common factor.
The factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
The factors of 527 are 1, 17, 31, 527
The HCF of 960,527 is 1.
Lets's calculate GCF of 960,527
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 960
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Now, list down the factors of 527
:1,17,31,527
Greatest Common Factor
We found the factors 960,527 . The biggest common factor number is the GCF number.
So the greatest common factor 960,527 is 1.
Lets's calculate LCM of 175,468
Given numbers has no common factors except 1. So, there LCM is their product i.e 81900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81900
Therefore, the GCF of Fractions 960/175,527/468 is 1/81900
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 175,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(175,468) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(175,468) x common factors =1 x 1 = 1
LCM(175,468) = ( 175 × 468 ) / 1
LCM(175,468) = 81900 / 1
LCM(175,468) = 81900
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 960,527?
The HCF of 960,527 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 960/175, 527/468?
Answer: GCF of Numerators as per given numbers 960/175, 527/468 is
GCF of Numerators i.e. for 960,527 is 1
LCM of denominators i.e. for 175,468 is 81900.
Thus, GCF of Fractions is 1/81900.Finally, GCF of Fractions for 960/175, 527/468 is 1/81900.