GCF of 9799/978, 7697/3992
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9799/978, 7697/3992 i.e 1/1952088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9799/978, 7697/3992.
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 9799/978,7697/3992?
Given fractions are 9799/978,7697/3992
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 9799/978,7697/3992, numerators are 9799,7697
Denominators are 978,3992
The GCF of 9799,7697 is 1 .
LCM of 978,3992 is 1952088.
The greatest common factor of 9799/978,7697/3992 = [GCF of 9799,7697]/[LCM of 978,3992]= 1/1952088
Therefore, the GCF of 9799/978,7697/3992 is 1/1952088.
To find the highest common factor of 9799,7697, we have to find the factors of both numbers and list the highest common factor.
The factors of 9799 are 1, 41, 239, 9799
The factors of 7697 are 1, 43, 179, 7697
The HCF of 9799,7697 is 1.
Lets's calculate GCF of 9799,7697
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9799,7697 By Matching Biggest Common Factor Method
Now, list down the factors of 9799
:1,41,239,9799
Now, list down the factors of 7697
:1,43,179,7697
Greatest Common Factor
We found the factors 9799,7697 . The biggest common factor number is the GCF number.
So the greatest common factor 9799,7697 is 1.
Lets's calculate LCM of 978,3992
| 2 | 978, 3992 |
| 489, 1996 |
∴ So the LCM of the given numbers is 2 x 489 x 1996 = 1952088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1952088
Therefore, the GCF of Fractions 9799/978,7697/3992 is 1/1952088
Least Common Multiple of 978,3992 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 978,3992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,3992) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(978,3992) x common factors =2 x 1 = 2
LCM(978,3992) = ( 978 × 3992 ) / 2
LCM(978,3992) = 3904176 / 2
LCM(978,3992) = 1952088
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FAQs on GCF of Fractions of 9799/978, 7697/3992
1. What is the HCF of 9799,7697?
The HCF of 9799,7697 is 1
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 9799/978, 7697/3992?
Answer: GCF of Numerators as per given numbers 9799/978, 7697/3992 is
GCF of Numerators i.e. for 9799,7697 is 1
LCM of denominators i.e. for 978,3992 is 1952088.
Thus, GCF of Fractions is 1/1952088.Finally, GCF of Fractions for 9799/978, 7697/3992 is 1/1952088.