Use our free GCF of Fractions Calculator tool to compute the GCF of 90/310, 60/992, 131/976 i.e 1/302560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 90/310, 60/992, 131/976.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 90/310,60/992,131/976
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 90/310,60/992,131/976, numerators are 90,60,131
Denominators are 310,992,976
The GCF of 90,60,131 is 1 .
LCM of 310,992,976 is 302560.
The greatest common factor of 90/310,60/992,131/976 = [GCF of 90,60,131]/[LCM of 310,992,976]= 1/302560
Therefore, the GCF of 90/310,60/992,131/976 is 1/302560.
To find the highest common factor of 90,60,131, we have to find the factors of both numbers and list the highest common factor.
The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
The factors of 131 are 1, 131
The HCF of 90,60,131 is 1.
Lets's calculate GCF of 90,60,131
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 90
:1,2,3,5,6,9,10,15,18,30,45,90
Now, list down the factors of 60
:1,2,3,4,5,6,10,12,15,20,30,60
Now, list down the factors of 131
:1,131
Greatest Common Factor
We found the factors 90,60,131 . The biggest common factor number is the GCF number.
So the greatest common factor 90,60,131 is 1.
Lets's calculate LCM of 310,992,976
2 | 310, 992, 976 |
2 | 155, 496, 488 |
2 | 155, 248, 244 |
2 | 155, 124, 122 |
31 | 155, 62, 61 |
5, 2, 61 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 31 x 5 x 2 x 61 = 302560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/302560
Therefore, the GCF of Fractions 90/310,60/992,131/976 is 1/302560
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 310,992,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,992,976) = 2
common factors(in case of two or more numbers have common factors) = 496
GCF(310,992,976) x common factors =2 x 496 = 992
LCM(310,992,976) = ( 310 × 992 × 976 ) / 992
LCM(310,992,976) = 300139520 / 992
LCM(310,992,976) = 302560
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 90,60,131?
The HCF of 90,60,131 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 90/310, 60/992, 131/976?
Answer: GCF of Numerators as per given numbers 90/310, 60/992, 131/976 is
GCF of Numerators i.e. for 90,60,131 is 1
LCM of denominators i.e. for 310,992,976 is 302560.
Thus, GCF of Fractions is 1/302560.Finally, GCF of Fractions for 90/310, 60/992, 131/976 is 1/302560.