Use our free GCF of Fractions Calculator tool to compute the GCF of 77/120, 65/600, 467/902 i.e 1/270600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 77/120, 65/600, 467/902.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 77/120,65/600,467/902
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 77/120,65/600,467/902, numerators are 77,65,467
Denominators are 120,600,902
The GCF of 77,65,467 is 1 .
LCM of 120,600,902 is 270600.
The greatest common factor of 77/120,65/600,467/902 = [GCF of 77,65,467]/[LCM of 120,600,902]= 1/270600
Therefore, the GCF of 77/120,65/600,467/902 is 1/270600.
To find the highest common factor of 77,65,467, we have to find the factors of both numbers and list the highest common factor.
The factors of 77 are 1, 7, 11, 77
The factors of 65 are 1, 5, 13, 65
The factors of 467 are 1, 467
The HCF of 77,65,467 is 1.
Lets's calculate GCF of 77,65,467
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 77
:1,7,11,77
Now, list down the factors of 65
:1,5,13,65
Now, list down the factors of 467
:1,467
Greatest Common Factor
We found the factors 77,65,467 . The biggest common factor number is the GCF number.
So the greatest common factor 77,65,467 is 1.
Lets's calculate LCM of 120,600,902
2 | 120, 600, 902 |
2 | 60, 300, 451 |
2 | 30, 150, 451 |
3 | 15, 75, 451 |
5 | 5, 25, 451 |
1, 5, 451 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 1 x 5 x 451 = 270600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/270600
Therefore, the GCF of Fractions 77/120,65/600,467/902 is 1/270600
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 120,600,902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,600,902) = 2
common factors(in case of two or more numbers have common factors) = 120
GCF(120,600,902) x common factors =2 x 120 = 240
LCM(120,600,902) = ( 120 × 600 × 902 ) / 240
LCM(120,600,902) = 64944000 / 240
LCM(120,600,902) = 270600
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 77,65,467?
The HCF of 77,65,467 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 77/120, 65/600, 467/902?
Answer: GCF of Numerators as per given numbers 77/120, 65/600, 467/902 is
GCF of Numerators i.e. for 77,65,467 is 1
LCM of denominators i.e. for 120,600,902 is 270600.
Thus, GCF of Fractions is 1/270600.Finally, GCF of Fractions for 77/120, 65/600, 467/902 is 1/270600.