Use our free GCF of Fractions Calculator tool to compute the GCF of 90/361, 15/626, 282/967 i.e 3/218528462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 90/361, 15/626, 282/967.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 90/361,15/626,282/967
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 90/361,15/626,282/967, numerators are 90,15,282
Denominators are 361,626,967
The GCF of 90,15,282 is 3 .
LCM of 361,626,967 is 218528462.
The greatest common factor of 90/361,15/626,282/967 = [GCF of 90,15,282]/[LCM of 361,626,967]= 3/218528462
Therefore, the GCF of 90/361,15/626,282/967 is 3/218528462.
To find the highest common factor of 90,15,282, 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 15 are 1, 3, 5, 15
The factors of 282 are 1, 2, 3, 6, 47, 94, 141, 282
The HCF of 90,15,282 is 3.
Lets's calculate GCF of 90,15,282
3 | 90, 15, 282 |
30, 5, 94 |
∴ So the GCF of the given numbers is 3 = 3
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 15
:1,3,5,15
Now, list down the factors of 282
:1,2,3,6,47,94,141,282
Greatest Common Factor
We found the factors 90,15,282 . The biggest common factor number is the GCF number.
So the greatest common factor 90,15,282 is 3.
Lets's calculate LCM of 361,626,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 218528462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/218528462
Therefore, the GCF of Fractions 90/361,15/626,282/967 is 3/218528462
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 361,626,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,626,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,626,967) x common factors =1 x 1 = 1
LCM(361,626,967) = ( 361 × 626 × 967 ) / 1
LCM(361,626,967) = 218528462 / 1
LCM(361,626,967) = 218528462
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 90,15,282?
The HCF of 90,15,282 is 3
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 90/361, 15/626, 282/967?
Answer: GCF of Numerators as per given numbers 90/361, 15/626, 282/967 is
GCF of Numerators i.e. for 90,15,282 is 3
LCM of denominators i.e. for 361,626,967 is 218528462.
Thus, GCF of Fractions is 3/218528462.Finally, GCF of Fractions for 90/361, 15/626, 282/967 is 3/218528462.