GCF of 1904/869, 9030/1795
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1904/869, 9030/1795 i.e 14/1559855 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1904/869, 9030/1795.
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 1904/869,9030/1795?
Given fractions are 1904/869,9030/1795
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 1904/869,9030/1795, numerators are 1904,9030
Denominators are 869,1795
The GCF of 1904,9030 is 14 .
LCM of 869,1795 is 1559855.
The greatest common factor of 1904/869,9030/1795 = [GCF of 1904,9030]/[LCM of 869,1795]= 14/1559855
Therefore, the GCF of 1904/869,9030/1795 is 14/1559855.
To find the highest common factor of 1904,9030, we have to find the factors of both numbers and list the highest common factor.
The factors of 1904 are 1, 2, 4, 7, 8, 14, 16, 17, 28, 34, 56, 68, 112, 119, 136, 238, 272, 476, 952, 1904
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 1904,9030 is 14.
Lets's calculate GCF of 1904,9030
| 2 | 1904, 9030 |
| 7 | 952, 4515 |
| 136, 645 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 1904,9030 By Matching Biggest Common Factor Method
Now, list down the factors of 1904
:1,2,4,7,8,14,16,17,28,34,56,68,112,119,136,238,272,476,952,1904
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 1904,9030 . The biggest common factor number is the GCF number.
So the greatest common factor 1904,9030 is 14.
Lets's calculate LCM of 869,1795
Given numbers has no common factors except 1. So, there LCM is their product i.e 1559855
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1559855
Therefore, the GCF of Fractions 1904/869,9030/1795 is 14/1559855
Least Common Multiple of 869,1795 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 869,1795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,1795) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(869,1795) x common factors =1 x 1 = 1
LCM(869,1795) = ( 869 × 1795 ) / 1
LCM(869,1795) = 1559855 / 1
LCM(869,1795) = 1559855
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FAQs on GCF of Fractions of 1904/869, 9030/1795
1. What is the HCF of 1904,9030?
The HCF of 1904,9030 is 14
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 1904/869, 9030/1795?
Answer: GCF of Numerators as per given numbers 1904/869, 9030/1795 is
GCF of Numerators i.e. for 1904,9030 is 14
LCM of denominators i.e. for 869,1795 is 1559855.
Thus, GCF of Fractions is 14/1559855.Finally, GCF of Fractions for 1904/869, 9030/1795 is 14/1559855.