GCF of 9032/789, 1988/2289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9032/789, 1988/2289 i.e 4/602007 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9032/789, 1988/2289.
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 9032/789,1988/2289?
Given fractions are 9032/789,1988/2289
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 9032/789,1988/2289, numerators are 9032,1988
Denominators are 789,2289
The GCF of 9032,1988 is 4 .
LCM of 789,2289 is 602007.
The greatest common factor of 9032/789,1988/2289 = [GCF of 9032,1988]/[LCM of 789,2289]= 4/602007
Therefore, the GCF of 9032/789,1988/2289 is 4/602007.
To find the highest common factor of 9032,1988, we have to find the factors of both numbers and list the highest common factor.
The factors of 9032 are 1, 2, 4, 8, 1129, 2258, 4516, 9032
The factors of 1988 are 1, 2, 4, 7, 14, 28, 71, 142, 284, 497, 994, 1988
The HCF of 9032,1988 is 4.
Lets's calculate GCF of 9032,1988
| 2 | 9032, 1988 |
| 2 | 4516, 994 |
| 2258, 497 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9032,1988 By Matching Biggest Common Factor Method
Now, list down the factors of 9032
:1,2,4,8,1129,2258,4516,9032
Now, list down the factors of 1988
:1,2,4,7,14,28,71,142,284,497,994,1988
Greatest Common Factor
We found the factors 9032,1988 . The biggest common factor number is the GCF number.
So the greatest common factor 9032,1988 is 4.
Lets's calculate LCM of 789,2289
| 3 | 789, 2289 |
| 263, 763 |
∴ So the LCM of the given numbers is 3 x 263 x 763 = 602007
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/602007
Therefore, the GCF of Fractions 9032/789,1988/2289 is 4/602007
Least Common Multiple of 789,2289 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 789,2289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(789,2289) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(789,2289) x common factors =3 x 1 = 3
LCM(789,2289) = ( 789 × 2289 ) / 3
LCM(789,2289) = 1806021 / 3
LCM(789,2289) = 602007
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FAQs on GCF of Fractions of 9032/789, 1988/2289
1. What is the HCF of 9032,1988?
The HCF of 9032,1988 is 4
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 9032/789, 1988/2289?
Answer: GCF of Numerators as per given numbers 9032/789, 1988/2289 is
GCF of Numerators i.e. for 9032,1988 is 4
LCM of denominators i.e. for 789,2289 is 602007.
Thus, GCF of Fractions is 4/602007.Finally, GCF of Fractions for 9032/789, 1988/2289 is 4/602007.