Use our free GCF of Fractions Calculator tool to compute the GCF of 99/90, 85/141, 213/540 i.e 1/25380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 99/90, 85/141, 213/540.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 99/90,85/141,213/540
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 99/90,85/141,213/540, numerators are 99,85,213
Denominators are 90,141,540
The GCF of 99,85,213 is 1 .
LCM of 90,141,540 is 25380.
The greatest common factor of 99/90,85/141,213/540 = [GCF of 99,85,213]/[LCM of 90,141,540]= 1/25380
Therefore, the GCF of 99/90,85/141,213/540 is 1/25380.
To find the highest common factor of 99,85,213, we have to find the factors of both numbers and list the highest common factor.
The factors of 99 are 1, 3, 9, 11, 33, 99
The factors of 85 are 1, 5, 17, 85
The factors of 213 are 1, 3, 71, 213
The HCF of 99,85,213 is 1.
Lets's calculate GCF of 99,85,213
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 99
:1,3,9,11,33,99
Now, list down the factors of 85
:1,5,17,85
Now, list down the factors of 213
:1,3,71,213
Greatest Common Factor
We found the factors 99,85,213 . The biggest common factor number is the GCF number.
So the greatest common factor 99,85,213 is 1.
Lets's calculate LCM of 90,141,540
2 | 90, 141, 540 |
3 | 45, 141, 270 |
3 | 15, 47, 90 |
5 | 5, 47, 30 |
1, 47, 6 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 1 x 47 x 6 = 25380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25380
Therefore, the GCF of Fractions 99/90,85/141,213/540 is 1/25380
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 90,141,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,141,540) = 3
common factors(in case of two or more numbers have common factors) = 90
GCF(90,141,540) x common factors =3 x 90 = 270
LCM(90,141,540) = ( 90 × 141 × 540 ) / 270
LCM(90,141,540) = 6852600 / 270
LCM(90,141,540) = 25380
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 99,85,213?
The HCF of 99,85,213 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 99/90, 85/141, 213/540?
Answer: GCF of Numerators as per given numbers 99/90, 85/141, 213/540 is
GCF of Numerators i.e. for 99,85,213 is 1
LCM of denominators i.e. for 90,141,540 is 25380.
Thus, GCF of Fractions is 1/25380.Finally, GCF of Fractions for 99/90, 85/141, 213/540 is 1/25380.