Use our free GCF of Fractions Calculator tool to compute the GCF of 461/960, 527/147 i.e 1/47040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 461/960, 527/147.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 461/960,527/147
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 461/960,527/147, numerators are 461,527
Denominators are 960,147
The GCF of 461,527 is 1 .
LCM of 960,147 is 47040.
The greatest common factor of 461/960,527/147 = [GCF of 461,527]/[LCM of 960,147]= 1/47040
Therefore, the GCF of 461/960,527/147 is 1/47040.
To find the highest common factor of 461,527, we have to find the factors of both numbers and list the highest common factor.
The factors of 461 are 1, 461
The factors of 527 are 1, 17, 31, 527
The HCF of 461,527 is 1.
Lets's calculate GCF of 461,527
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 461
:1,461
Now, list down the factors of 527
:1,17,31,527
Greatest Common Factor
We found the factors 461,527 . The biggest common factor number is the GCF number.
So the greatest common factor 461,527 is 1.
Lets's calculate LCM of 960,147
3 | 960, 147 |
320, 49 |
∴ So the LCM of the given numbers is 3 x 320 x 49 = 47040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47040
Therefore, the GCF of Fractions 461/960,527/147 is 1/47040
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 960,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,147) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(960,147) x common factors =3 x 1 = 3
LCM(960,147) = ( 960 × 147 ) / 3
LCM(960,147) = 141120 / 3
LCM(960,147) = 47040
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 461,527?
The HCF of 461,527 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 461/960, 527/147?
Answer: GCF of Numerators as per given numbers 461/960, 527/147 is
GCF of Numerators i.e. for 461,527 is 1
LCM of denominators i.e. for 960,147 is 47040.
Thus, GCF of Fractions is 1/47040.Finally, GCF of Fractions for 461/960, 527/147 is 1/47040.