GCF of 9054/282, 6138/8229
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9054/282, 6138/8229 i.e 18/773526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9054/282, 6138/8229.
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 9054/282,6138/8229?
Given fractions are 9054/282,6138/8229
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 9054/282,6138/8229, numerators are 9054,6138
Denominators are 282,8229
The GCF of 9054,6138 is 18 .
LCM of 282,8229 is 773526.
The greatest common factor of 9054/282,6138/8229 = [GCF of 9054,6138]/[LCM of 282,8229]= 18/773526
Therefore, the GCF of 9054/282,6138/8229 is 18/773526.
To find the highest common factor of 9054,6138, we have to find the factors of both numbers and list the highest common factor.
The factors of 9054 are 1, 2, 3, 6, 9, 18, 503, 1006, 1509, 3018, 4527, 9054
The factors of 6138 are 1, 2, 3, 6, 9, 11, 18, 22, 31, 33, 62, 66, 93, 99, 186, 198, 279, 341, 558, 682, 1023, 2046, 3069, 6138
The HCF of 9054,6138 is 18.
Lets's calculate GCF of 9054,6138
| 2 | 9054, 6138 |
| 3 | 4527, 3069 |
| 3 | 1509, 1023 |
| 503, 341 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 9054,6138 By Matching Biggest Common Factor Method
Now, list down the factors of 9054
:1,2,3,6,9,18,503,1006,1509,3018,4527,9054
Now, list down the factors of 6138
:1,2,3,6,9,11,18,22,31,33,62,66,93,99,186,198,279,341,558,682,1023,2046,3069,6138
Greatest Common Factor
We found the factors 9054,6138 . The biggest common factor number is the GCF number.
So the greatest common factor 9054,6138 is 18.
Lets's calculate LCM of 282,8229
| 3 | 282, 8229 |
| 94, 2743 |
∴ So the LCM of the given numbers is 3 x 94 x 2743 = 773526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/773526
Therefore, the GCF of Fractions 9054/282,6138/8229 is 18/773526
Least Common Multiple of 282,8229 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 282,8229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,8229) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(282,8229) x common factors =3 x 1 = 3
LCM(282,8229) = ( 282 × 8229 ) / 3
LCM(282,8229) = 2320578 / 3
LCM(282,8229) = 773526
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FAQs on GCF of Fractions of 9054/282, 6138/8229
1. What is the HCF of 9054,6138?
The HCF of 9054,6138 is 18
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 9054/282, 6138/8229?
Answer: GCF of Numerators as per given numbers 9054/282, 6138/8229 is
GCF of Numerators i.e. for 9054,6138 is 18
LCM of denominators i.e. for 282,8229 is 773526.
Thus, GCF of Fractions is 18/773526.Finally, GCF of Fractions for 9054/282, 6138/8229 is 18/773526.