GCF of 954/129, 303/867, 104/146
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 954/129, 303/867, 104/146 i.e 1/5443026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 954/129, 303/867, 104/146.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 954/129,303/867,104/146?
Given fractions are 954/129,303/867,104/146
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 954/129,303/867,104/146, numerators are 954,303,104
Denominators are 129,867,146
The GCF of 954,303,104 is 1 .
LCM of 129,867,146 is 5443026.
The greatest common factor of 954/129,303/867,104/146 = [GCF of 954,303,104]/[LCM of 129,867,146]= 1/5443026
Therefore, the GCF of 954/129,303/867,104/146 is 1/5443026.
To find the highest common factor of 954,303,104, we have to find the factors of both numbers and list the highest common factor.
The factors of 954 are 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
The factors of 303 are 1, 3, 101, 303
The factors of 104 are 1, 2, 4, 8, 13, 26, 52, 104
The HCF of 954,303,104 is 1.
Lets's calculate GCF of 954,303,104
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 954,303,104 By Matching Biggest Common Factor Method
Now, list down the factors of 954
:1,2,3,6,9,18,53,106,159,318,477,954
Now, list down the factors of 303
:1,3,101,303
Now, list down the factors of 104
:1,2,4,8,13,26,52,104
Greatest Common Factor
We found the factors 954,303,104 . The biggest common factor number is the GCF number.
So the greatest common factor 954,303,104 is 1.
Lets's calculate LCM of 129,867,146
| 3 | 129, 867, 146 |
| 43, 289, 146 |
∴ So the LCM of the given numbers is 3 x 43 x 289 x 146 = 5443026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5443026
Therefore, the GCF of Fractions 954/129,303/867,104/146 is 1/5443026
Least Common Multiple of 129,867,146 with GCF Formula
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 129,867,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,867,146) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(129,867,146) x common factors =1 x 3 = 3
LCM(129,867,146) = ( 129 × 867 × 146 ) / 3
LCM(129,867,146) = 16329078 / 3
LCM(129,867,146) = 5443026
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FAQs on GCF of Fractions of 954/129, 303/867, 104/146
1. What is the HCF of 954,303,104?
The HCF of 954,303,104 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 954/129, 303/867, 104/146?
Answer: GCF of Numerators as per given numbers 954/129, 303/867, 104/146 is
GCF of Numerators i.e. for 954,303,104 is 1
LCM of denominators i.e. for 129,867,146 is 5443026.
Thus, GCF of Fractions is 1/5443026.Finally, GCF of Fractions for 954/129, 303/867, 104/146 is 1/5443026.