Use our free GCF of Fractions Calculator tool to compute the GCF of 96/26, 524/84, 510/851 i.e 2/929292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 96/26, 524/84, 510/851.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/26,524/84,510/851
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 96/26,524/84,510/851, numerators are 96,524,510
Denominators are 26,84,851
The GCF of 96,524,510 is 2 .
LCM of 26,84,851 is 929292.
The greatest common factor of 96/26,524/84,510/851 = [GCF of 96,524,510]/[LCM of 26,84,851]= 2/929292
Therefore, the GCF of 96/26,524/84,510/851 is 2/929292.
To find the highest common factor of 96,524,510, we have to find the factors of both numbers and list the highest common factor.
The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
The factors of 524 are 1, 2, 4, 131, 262, 524
The factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
The HCF of 96,524,510 is 2.
Lets's calculate GCF of 96,524,510
2 | 96, 524, 510 |
48, 262, 255 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 96
:1,2,3,4,6,8,12,16,24,32,48,96
Now, list down the factors of 524
:1,2,4,131,262,524
Now, list down the factors of 510
:1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Greatest Common Factor
We found the factors 96,524,510 . The biggest common factor number is the GCF number.
So the greatest common factor 96,524,510 is 2.
Lets's calculate LCM of 26,84,851
2 | 26, 84, 851 |
13, 42, 851 |
∴ So the LCM of the given numbers is 2 x 13 x 42 x 851 = 929292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/929292
Therefore, the GCF of Fractions 96/26,524/84,510/851 is 2/929292
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 26,84,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,84,851) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(26,84,851) x common factors =1 x 2 = 2
LCM(26,84,851) = ( 26 × 84 × 851 ) / 2
LCM(26,84,851) = 1858584 / 2
LCM(26,84,851) = 929292
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 96,524,510?
The HCF of 96,524,510 is 2
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 96/26, 524/84, 510/851?
Answer: GCF of Numerators as per given numbers 96/26, 524/84, 510/851 is
GCF of Numerators i.e. for 96,524,510 is 2
LCM of denominators i.e. for 26,84,851 is 929292.
Thus, GCF of Fractions is 2/929292.Finally, GCF of Fractions for 96/26, 524/84, 510/851 is 2/929292.