GCF of 1644/194, 9969/796
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1644/194, 9969/796 i.e 3/77212 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1644/194, 9969/796.
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 1644/194,9969/796?
Given fractions are 1644/194,9969/796
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 1644/194,9969/796, numerators are 1644,9969
Denominators are 194,796
The GCF of 1644,9969 is 3 .
LCM of 194,796 is 77212.
The greatest common factor of 1644/194,9969/796 = [GCF of 1644,9969]/[LCM of 194,796]= 3/77212
Therefore, the GCF of 1644/194,9969/796 is 3/77212.
To find the highest common factor of 1644,9969, we have to find the factors of both numbers and list the highest common factor.
The factors of 1644 are 1, 2, 3, 4, 6, 12, 137, 274, 411, 548, 822, 1644
The factors of 9969 are 1, 3, 3323, 9969
The HCF of 1644,9969 is 3.
Lets's calculate GCF of 1644,9969
| 3 | 1644, 9969 |
| 548, 3323 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1644,9969 By Matching Biggest Common Factor Method
Now, list down the factors of 1644
:1,2,3,4,6,12,137,274,411,548,822,1644
Now, list down the factors of 9969
:1,3,3323,9969
Greatest Common Factor
We found the factors 1644,9969 . The biggest common factor number is the GCF number.
So the greatest common factor 1644,9969 is 3.
Lets's calculate LCM of 194,796
| 2 | 194, 796 |
| 97, 398 |
∴ So the LCM of the given numbers is 2 x 97 x 398 = 77212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/77212
Therefore, the GCF of Fractions 1644/194,9969/796 is 3/77212
Least Common Multiple of 194,796 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 194,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(194,796) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(194,796) x common factors =2 x 1 = 2
LCM(194,796) = ( 194 × 796 ) / 2
LCM(194,796) = 154424 / 2
LCM(194,796) = 77212
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FAQs on GCF of Fractions of 1644/194, 9969/796
1. What is the HCF of 1644,9969?
The HCF of 1644,9969 is 3
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 1644/194, 9969/796?
Answer: GCF of Numerators as per given numbers 1644/194, 9969/796 is
GCF of Numerators i.e. for 1644,9969 is 3
LCM of denominators i.e. for 194,796 is 77212.
Thus, GCF of Fractions is 3/77212.Finally, GCF of Fractions for 1644/194, 9969/796 is 3/77212.