GCF of 9971/341, 3497/916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9971/341, 3497/916 i.e 13/312356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9971/341, 3497/916.
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 9971/341,3497/916?
Given fractions are 9971/341,3497/916
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 9971/341,3497/916, numerators are 9971,3497
Denominators are 341,916
The GCF of 9971,3497 is 13 .
LCM of 341,916 is 312356.
The greatest common factor of 9971/341,3497/916 = [GCF of 9971,3497]/[LCM of 341,916]= 13/312356
Therefore, the GCF of 9971/341,3497/916 is 13/312356.
To find the highest common factor of 9971,3497, we have to find the factors of both numbers and list the highest common factor.
The factors of 9971 are 1, 13, 59, 169, 767, 9971
The factors of 3497 are 1, 13, 269, 3497
The HCF of 9971,3497 is 13.
Lets's calculate GCF of 9971,3497
| 13 | 9971, 3497 |
| 767, 269 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 9971,3497 By Matching Biggest Common Factor Method
Now, list down the factors of 9971
:1,13,59,169,767,9971
Now, list down the factors of 3497
:1,13,269,3497
Greatest Common Factor
We found the factors 9971,3497 . The biggest common factor number is the GCF number.
So the greatest common factor 9971,3497 is 13.
Lets's calculate LCM of 341,916
Given numbers has no common factors except 1. So, there LCM is their product i.e 312356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/312356
Therefore, the GCF of Fractions 9971/341,3497/916 is 13/312356
Least Common Multiple of 341,916 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 341,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(341,916) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(341,916) x common factors =1 x 1 = 1
LCM(341,916) = ( 341 × 916 ) / 1
LCM(341,916) = 312356 / 1
LCM(341,916) = 312356
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FAQs on GCF of Fractions of 9971/341, 3497/916
1. What is the HCF of 9971,3497?
The HCF of 9971,3497 is 13
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 9971/341, 3497/916?
Answer: GCF of Numerators as per given numbers 9971/341, 3497/916 is
GCF of Numerators i.e. for 9971,3497 is 13
LCM of denominators i.e. for 341,916 is 312356.
Thus, GCF of Fractions is 13/312356.Finally, GCF of Fractions for 9971/341, 3497/916 is 13/312356.