GCF of 9756/199, 1238/7691
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9756/199, 1238/7691 i.e 2/1530509 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9756/199, 1238/7691.
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 9756/199,1238/7691?
Given fractions are 9756/199,1238/7691
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 9756/199,1238/7691, numerators are 9756,1238
Denominators are 199,7691
The GCF of 9756,1238 is 2 .
LCM of 199,7691 is 1530509.
The greatest common factor of 9756/199,1238/7691 = [GCF of 9756,1238]/[LCM of 199,7691]= 2/1530509
Therefore, the GCF of 9756/199,1238/7691 is 2/1530509.
To find the highest common factor of 9756,1238, we have to find the factors of both numbers and list the highest common factor.
The factors of 9756 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 271, 542, 813, 1084, 1626, 2439, 3252, 4878, 9756
The factors of 1238 are 1, 2, 619, 1238
The HCF of 9756,1238 is 2.
Lets's calculate GCF of 9756,1238
| 2 | 9756, 1238 |
| 4878, 619 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9756,1238 By Matching Biggest Common Factor Method
Now, list down the factors of 9756
:1,2,3,4,6,9,12,18,36,271,542,813,1084,1626,2439,3252,4878,9756
Now, list down the factors of 1238
:1,2,619,1238
Greatest Common Factor
We found the factors 9756,1238 . The biggest common factor number is the GCF number.
So the greatest common factor 9756,1238 is 2.
Lets's calculate LCM of 199,7691
Given numbers has no common factors except 1. So, there LCM is their product i.e 1530509
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1530509
Therefore, the GCF of Fractions 9756/199,1238/7691 is 2/1530509
Least Common Multiple of 199,7691 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 199,7691 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(199,7691) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(199,7691) x common factors =1 x 1 = 1
LCM(199,7691) = ( 199 × 7691 ) / 1
LCM(199,7691) = 1530509 / 1
LCM(199,7691) = 1530509
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FAQs on GCF of Fractions of 9756/199, 1238/7691
1. What is the HCF of 9756,1238?
The HCF of 9756,1238 is 2
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 9756/199, 1238/7691?
Answer: GCF of Numerators as per given numbers 9756/199, 1238/7691 is
GCF of Numerators i.e. for 9756,1238 is 2
LCM of denominators i.e. for 199,7691 is 1530509.
Thus, GCF of Fractions is 2/1530509.Finally, GCF of Fractions for 9756/199, 1238/7691 is 2/1530509.