GCF of 9964/194, 9801/1208
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9964/194, 9801/1208 i.e 1/117176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9964/194, 9801/1208.
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 9964/194,9801/1208?
Given fractions are 9964/194,9801/1208
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 9964/194,9801/1208, numerators are 9964,9801
Denominators are 194,1208
The GCF of 9964,9801 is 1 .
LCM of 194,1208 is 117176.
The greatest common factor of 9964/194,9801/1208 = [GCF of 9964,9801]/[LCM of 194,1208]= 1/117176
Therefore, the GCF of 9964/194,9801/1208 is 1/117176.
To find the highest common factor of 9964,9801, we have to find the factors of both numbers and list the highest common factor.
The factors of 9964 are 1, 2, 4, 47, 53, 94, 106, 188, 212, 2491, 4982, 9964
The factors of 9801 are 1, 3, 9, 11, 27, 33, 81, 99, 121, 297, 363, 891, 1089, 3267, 9801
The HCF of 9964,9801 is 1.
Lets's calculate GCF of 9964,9801
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9964,9801 By Matching Biggest Common Factor Method
Now, list down the factors of 9964
:1,2,4,47,53,94,106,188,212,2491,4982,9964
Now, list down the factors of 9801
:1,3,9,11,27,33,81,99,121,297,363,891,1089,3267,9801
Greatest Common Factor
We found the factors 9964,9801 . The biggest common factor number is the GCF number.
So the greatest common factor 9964,9801 is 1.
Lets's calculate LCM of 194,1208
| 2 | 194, 1208 |
| 97, 604 |
∴ So the LCM of the given numbers is 2 x 97 x 604 = 117176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117176
Therefore, the GCF of Fractions 9964/194,9801/1208 is 1/117176
Least Common Multiple of 194,1208 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 194,1208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,1208) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(194,1208) x common factors =2 x 1 = 2
LCM(194,1208) = ( 194 × 1208 ) / 2
LCM(194,1208) = 234352 / 2
LCM(194,1208) = 117176
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FAQs on GCF of Fractions of 9964/194, 9801/1208
1. What is the HCF of 9964,9801?
The HCF of 9964,9801 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 9964/194, 9801/1208?
Answer: GCF of Numerators as per given numbers 9964/194, 9801/1208 is
GCF of Numerators i.e. for 9964,9801 is 1
LCM of denominators i.e. for 194,1208 is 117176.
Thus, GCF of Fractions is 1/117176.Finally, GCF of Fractions for 9964/194, 9801/1208 is 1/117176.