Use our free GCF of Fractions Calculator tool to compute the GCF of 955/24, 486/9872 i.e 1/29616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 955/24, 486/9872.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 955/24,486/9872
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 955/24,486/9872, numerators are 955,486
Denominators are 24,9872
The GCF of 955,486 is 1 .
LCM of 24,9872 is 29616.
The greatest common factor of 955/24,486/9872 = [GCF of 955,486]/[LCM of 24,9872]= 1/29616
Therefore, the GCF of 955/24,486/9872 is 1/29616.
To find the highest common factor of 955,486, we have to find the factors of both numbers and list the highest common factor.
The factors of 955 are 1, 5, 191, 955
The factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
The HCF of 955,486 is 1.
Lets's calculate GCF of 955,486
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 955
:1,5,191,955
Now, list down the factors of 486
:1,2,3,6,9,18,27,54,81,162,243,486
Greatest Common Factor
We found the factors 955,486 . The biggest common factor number is the GCF number.
So the greatest common factor 955,486 is 1.
Lets's calculate LCM of 24,9872
2 | 24, 9872 |
2 | 12, 4936 |
2 | 6, 2468 |
3, 1234 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1234 = 29616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29616
Therefore, the GCF of Fractions 955/24,486/9872 is 1/29616
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 24,9872 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,9872) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(24,9872) x common factors =8 x 1 = 8
LCM(24,9872) = ( 24 × 9872 ) / 8
LCM(24,9872) = 236928 / 8
LCM(24,9872) = 29616
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 955,486?
The HCF of 955,486 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 955/24, 486/9872?
Answer: GCF of Numerators as per given numbers 955/24, 486/9872 is
GCF of Numerators i.e. for 955,486 is 1
LCM of denominators i.e. for 24,9872 is 29616.
Thus, GCF of Fractions is 1/29616.Finally, GCF of Fractions for 955/24, 486/9872 is 1/29616.