Use our free GCF of Fractions Calculator tool to compute the GCF of 90/146, 389/321, 312/892 i.e 1/20902236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 90/146, 389/321, 312/892.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 90/146,389/321,312/892
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 90/146,389/321,312/892, numerators are 90,389,312
Denominators are 146,321,892
The GCF of 90,389,312 is 1 .
LCM of 146,321,892 is 20902236.
The greatest common factor of 90/146,389/321,312/892 = [GCF of 90,389,312]/[LCM of 146,321,892]= 1/20902236
Therefore, the GCF of 90/146,389/321,312/892 is 1/20902236.
To find the highest common factor of 90,389,312, 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 389 are 1, 389
The factors of 312 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
The HCF of 90,389,312 is 1.
Lets's calculate GCF of 90,389,312
∴ 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 389
:1,389
Now, list down the factors of 312
:1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Greatest Common Factor
We found the factors 90,389,312 . The biggest common factor number is the GCF number.
So the greatest common factor 90,389,312 is 1.
Lets's calculate LCM of 146,321,892
2 | 146, 321, 892 |
73, 321, 446 |
∴ So the LCM of the given numbers is 2 x 73 x 321 x 446 = 20902236
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20902236
Therefore, the GCF of Fractions 90/146,389/321,312/892 is 1/20902236
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 146,321,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,321,892) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(146,321,892) x common factors =1 x 2 = 2
LCM(146,321,892) = ( 146 × 321 × 892 ) / 2
LCM(146,321,892) = 41804472 / 2
LCM(146,321,892) = 20902236
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 90,389,312?
The HCF of 90,389,312 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 90/146, 389/321, 312/892?
Answer: GCF of Numerators as per given numbers 90/146, 389/321, 312/892 is
GCF of Numerators i.e. for 90,389,312 is 1
LCM of denominators i.e. for 146,321,892 is 20902236.
Thus, GCF of Fractions is 1/20902236.Finally, GCF of Fractions for 90/146, 389/321, 312/892 is 1/20902236.