GCF of 9077/732, 4988/8697
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9077/732, 4988/8697 i.e 29/2122068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9077/732, 4988/8697.
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 9077/732,4988/8697?
Given fractions are 9077/732,4988/8697
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 9077/732,4988/8697, numerators are 9077,4988
Denominators are 732,8697
The GCF of 9077,4988 is 29 .
LCM of 732,8697 is 2122068.
The greatest common factor of 9077/732,4988/8697 = [GCF of 9077,4988]/[LCM of 732,8697]= 29/2122068
Therefore, the GCF of 9077/732,4988/8697 is 29/2122068.
To find the highest common factor of 9077,4988, we have to find the factors of both numbers and list the highest common factor.
The factors of 9077 are 1, 29, 313, 9077
The factors of 4988 are 1, 2, 4, 29, 43, 58, 86, 116, 172, 1247, 2494, 4988
The HCF of 9077,4988 is 29.
Lets's calculate GCF of 9077,4988
| 29 | 9077, 4988 |
| 313, 172 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 9077,4988 By Matching Biggest Common Factor Method
Now, list down the factors of 9077
:1,29,313,9077
Now, list down the factors of 4988
:1,2,4,29,43,58,86,116,172,1247,2494,4988
Greatest Common Factor
We found the factors 9077,4988 . The biggest common factor number is the GCF number.
So the greatest common factor 9077,4988 is 29.
Lets's calculate LCM of 732,8697
| 3 | 732, 8697 |
| 244, 2899 |
∴ So the LCM of the given numbers is 3 x 244 x 2899 = 2122068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/2122068
Therefore, the GCF of Fractions 9077/732,4988/8697 is 29/2122068
Least Common Multiple of 732,8697 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 732,8697 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(732,8697) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(732,8697) x common factors =3 x 1 = 3
LCM(732,8697) = ( 732 × 8697 ) / 3
LCM(732,8697) = 6366204 / 3
LCM(732,8697) = 2122068
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FAQs on GCF of Fractions of 9077/732, 4988/8697
1. What is the HCF of 9077,4988?
The HCF of 9077,4988 is 29
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 9077/732, 4988/8697?
Answer: GCF of Numerators as per given numbers 9077/732, 4988/8697 is
GCF of Numerators i.e. for 9077,4988 is 29
LCM of denominators i.e. for 732,8697 is 2122068.
Thus, GCF of Fractions is 29/2122068.Finally, GCF of Fractions for 9077/732, 4988/8697 is 29/2122068.