GCF of 9952/397, 7382/8971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9952/397, 7382/8971 i.e 2/3561487 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9952/397, 7382/8971.
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 9952/397,7382/8971?
Given fractions are 9952/397,7382/8971
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 9952/397,7382/8971, numerators are 9952,7382
Denominators are 397,8971
The GCF of 9952,7382 is 2 .
LCM of 397,8971 is 3561487.
The greatest common factor of 9952/397,7382/8971 = [GCF of 9952,7382]/[LCM of 397,8971]= 2/3561487
Therefore, the GCF of 9952/397,7382/8971 is 2/3561487.
To find the highest common factor of 9952,7382, we have to find the factors of both numbers and list the highest common factor.
The factors of 9952 are 1, 2, 4, 8, 16, 32, 311, 622, 1244, 2488, 4976, 9952
The factors of 7382 are 1, 2, 3691, 7382
The HCF of 9952,7382 is 2.
Lets's calculate GCF of 9952,7382
| 2 | 9952, 7382 |
| 4976, 3691 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9952,7382 By Matching Biggest Common Factor Method
Now, list down the factors of 9952
:1,2,4,8,16,32,311,622,1244,2488,4976,9952
Now, list down the factors of 7382
:1,2,3691,7382
Greatest Common Factor
We found the factors 9952,7382 . The biggest common factor number is the GCF number.
So the greatest common factor 9952,7382 is 2.
Lets's calculate LCM of 397,8971
Given numbers has no common factors except 1. So, there LCM is their product i.e 3561487
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3561487
Therefore, the GCF of Fractions 9952/397,7382/8971 is 2/3561487
Least Common Multiple of 397,8971 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 397,8971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,8971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(397,8971) x common factors =1 x 1 = 1
LCM(397,8971) = ( 397 × 8971 ) / 1
LCM(397,8971) = 3561487 / 1
LCM(397,8971) = 3561487
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FAQs on GCF of Fractions of 9952/397, 7382/8971
1. What is the HCF of 9952,7382?
The HCF of 9952,7382 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 9952/397, 7382/8971?
Answer: GCF of Numerators as per given numbers 9952/397, 7382/8971 is
GCF of Numerators i.e. for 9952,7382 is 2
LCM of denominators i.e. for 397,8971 is 3561487.
Thus, GCF of Fractions is 2/3561487.Finally, GCF of Fractions for 9952/397, 7382/8971 is 2/3561487.