GCF of 7689/990, 4593/889
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7689/990, 4593/889 i.e 3/880110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7689/990, 4593/889.
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 7689/990,4593/889?
Given fractions are 7689/990,4593/889
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 7689/990,4593/889, numerators are 7689,4593
Denominators are 990,889
The GCF of 7689,4593 is 3 .
LCM of 990,889 is 880110.
The greatest common factor of 7689/990,4593/889 = [GCF of 7689,4593]/[LCM of 990,889]= 3/880110
Therefore, the GCF of 7689/990,4593/889 is 3/880110.
To find the highest common factor of 7689,4593, we have to find the factors of both numbers and list the highest common factor.
The factors of 7689 are 1, 3, 11, 33, 233, 699, 2563, 7689
The factors of 4593 are 1, 3, 1531, 4593
The HCF of 7689,4593 is 3.
Lets's calculate GCF of 7689,4593
| 3 | 7689, 4593 |
| 2563, 1531 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7689,4593 By Matching Biggest Common Factor Method
Now, list down the factors of 7689
:1,3,11,33,233,699,2563,7689
Now, list down the factors of 4593
:1,3,1531,4593
Greatest Common Factor
We found the factors 7689,4593 . The biggest common factor number is the GCF number.
So the greatest common factor 7689,4593 is 3.
Lets's calculate LCM of 990,889
Given numbers has no common factors except 1. So, there LCM is their product i.e 880110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/880110
Therefore, the GCF of Fractions 7689/990,4593/889 is 3/880110
Least Common Multiple of 990,889 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 990,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(990,889) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(990,889) x common factors =1 x 1 = 1
LCM(990,889) = ( 990 × 889 ) / 1
LCM(990,889) = 880110 / 1
LCM(990,889) = 880110
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FAQs on GCF of Fractions of 7689/990, 4593/889
1. What is the HCF of 7689,4593?
The HCF of 7689,4593 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 7689/990, 4593/889?
Answer: GCF of Numerators as per given numbers 7689/990, 4593/889 is
GCF of Numerators i.e. for 7689,4593 is 3
LCM of denominators i.e. for 990,889 is 880110.
Thus, GCF of Fractions is 3/880110.Finally, GCF of Fractions for 7689/990, 4593/889 is 3/880110.