GCF of 9030/228, 1908/7677
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9030/228, 1908/7677 i.e 6/583452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9030/228, 1908/7677.
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 9030/228,1908/7677?
Given fractions are 9030/228,1908/7677
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 9030/228,1908/7677, numerators are 9030,1908
Denominators are 228,7677
The GCF of 9030,1908 is 6 .
LCM of 228,7677 is 583452.
The greatest common factor of 9030/228,1908/7677 = [GCF of 9030,1908]/[LCM of 228,7677]= 6/583452
Therefore, the GCF of 9030/228,1908/7677 is 6/583452.
To find the highest common factor of 9030,1908, we have to find the factors of both numbers and list the highest common factor.
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 factors of 1908 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 53, 106, 159, 212, 318, 477, 636, 954, 1908
The HCF of 9030,1908 is 6.
Lets's calculate GCF of 9030,1908
| 2 | 9030, 1908 |
| 3 | 4515, 954 |
| 1505, 318 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9030,1908 By Matching Biggest Common Factor Method
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
Now, list down the factors of 1908
:1,2,3,4,6,9,12,18,36,53,106,159,212,318,477,636,954,1908
Greatest Common Factor
We found the factors 9030,1908 . The biggest common factor number is the GCF number.
So the greatest common factor 9030,1908 is 6.
Lets's calculate LCM of 228,7677
| 3 | 228, 7677 |
| 76, 2559 |
∴ So the LCM of the given numbers is 3 x 76 x 2559 = 583452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/583452
Therefore, the GCF of Fractions 9030/228,1908/7677 is 6/583452
Least Common Multiple of 228,7677 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 228,7677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,7677) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(228,7677) x common factors =3 x 1 = 3
LCM(228,7677) = ( 228 × 7677 ) / 3
LCM(228,7677) = 1750356 / 3
LCM(228,7677) = 583452
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FAQs on GCF of Fractions of 9030/228, 1908/7677
1. What is the HCF of 9030,1908?
The HCF of 9030,1908 is 6
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 9030/228, 1908/7677?
Answer: GCF of Numerators as per given numbers 9030/228, 1908/7677 is
GCF of Numerators i.e. for 9030,1908 is 6
LCM of denominators i.e. for 228,7677 is 583452.
Thus, GCF of Fractions is 6/583452.Finally, GCF of Fractions for 9030/228, 1908/7677 is 6/583452.