GCF of 954/304, 5541/304
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 954/304, 5541/304 i.e 3/304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 954/304, 5541/304.
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 954/304,5541/304?
Given fractions are 954/304,5541/304
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 954/304,5541/304, numerators are 954,5541
Denominators are 304,304
The GCF of 954,5541 is 3 .
LCM of 304,304 is 304.
The greatest common factor of 954/304,5541/304 = [GCF of 954,5541]/[LCM of 304,304]= 3/304
Therefore, the GCF of 954/304,5541/304 is 3/304.
To find the highest common factor of 954,5541, 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 5541 are 1, 3, 1847, 5541
The HCF of 954,5541 is 3.
Lets's calculate GCF of 954,5541
| 3 | 954, 5541 |
| 318, 1847 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 954,5541 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 5541
:1,3,1847,5541
Greatest Common Factor
We found the factors 954,5541 . The biggest common factor number is the GCF number.
So the greatest common factor 954,5541 is 3.
Lets's calculate LCM of 304,304
| 2 | 304, 304 |
| 2 | 152, 152 |
| 2 | 76, 76 |
| 2 | 38, 38 |
| 19 | 19, 19 |
| 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 19 x 1 x 1 = 304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/304
Therefore, the GCF of Fractions 954/304,5541/304 is 3/304
Least Common Multiple of 304,304 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 304,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,304) = 304
common factors(in case of two or more numbers have common factors) = 1
GCF(304,304) x common factors =304 x 1 = 304
LCM(304,304) = ( 304 × 304 ) / 304
LCM(304,304) = 92416 / 304
LCM(304,304) = 304
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FAQs on GCF of Fractions of 954/304, 5541/304
1. What is the HCF of 954,5541?
The HCF of 954,5541 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 954/304, 5541/304?
Answer: GCF of Numerators as per given numbers 954/304, 5541/304 is
GCF of Numerators i.e. for 954,5541 is 3
LCM of denominators i.e. for 304,304 is 304.
Thus, GCF of Fractions is 3/304.Finally, GCF of Fractions for 954/304, 5541/304 is 3/304.