GCF of 7029/184, 9030/149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7029/184, 9030/149 i.e 3/27416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7029/184, 9030/149.
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 7029/184,9030/149?
Given fractions are 7029/184,9030/149
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 7029/184,9030/149, numerators are 7029,9030
Denominators are 184,149
The GCF of 7029,9030 is 3 .
LCM of 184,149 is 27416.
The greatest common factor of 7029/184,9030/149 = [GCF of 7029,9030]/[LCM of 184,149]= 3/27416
Therefore, the GCF of 7029/184,9030/149 is 3/27416.
To find the highest common factor of 7029,9030, we have to find the factors of both numbers and list the highest common factor.
The factors of 7029 are 1, 3, 9, 11, 33, 71, 99, 213, 639, 781, 2343, 7029
The factors of 9030 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 43, 70, 86, 105, 129, 210, 215, 258, 301, 430, 602, 645, 903, 1290, 1505, 1806, 3010, 4515, 9030
The HCF of 7029,9030 is 3.
Lets's calculate GCF of 7029,9030
| 3 | 7029, 9030 |
| 2343, 3010 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7029,9030 By Matching Biggest Common Factor Method
Now, list down the factors of 7029
:1,3,9,11,33,71,99,213,639,781,2343,7029
Now, list down the factors of 9030
:1,2,3,5,6,7,10,14,15,21,30,35,42,43,70,86,105,129,210,215,258,301,430,602,645,903,1290,1505,1806,3010,4515,9030
Greatest Common Factor
We found the factors 7029,9030 . The biggest common factor number is the GCF number.
So the greatest common factor 7029,9030 is 3.
Lets's calculate LCM of 184,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 27416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/27416
Therefore, the GCF of Fractions 7029/184,9030/149 is 3/27416
Least Common Multiple of 184,149 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 184,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(184,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(184,149) x common factors =1 x 1 = 1
LCM(184,149) = ( 184 × 149 ) / 1
LCM(184,149) = 27416 / 1
LCM(184,149) = 27416
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FAQs on GCF of Fractions of 7029/184, 9030/149
1. What is the HCF of 7029,9030?
The HCF of 7029,9030 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 7029/184, 9030/149?
Answer: GCF of Numerators as per given numbers 7029/184, 9030/149 is
GCF of Numerators i.e. for 7029,9030 is 3
LCM of denominators i.e. for 184,149 is 27416.
Thus, GCF of Fractions is 3/27416.Finally, GCF of Fractions for 7029/184, 9030/149 is 3/27416.