GCF of 9816/146, 1932/9249
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9816/146, 1932/9249 i.e 12/1350354 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9816/146, 1932/9249.
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 9816/146,1932/9249?
Given fractions are 9816/146,1932/9249
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 9816/146,1932/9249, numerators are 9816,1932
Denominators are 146,9249
The GCF of 9816,1932 is 12 .
LCM of 146,9249 is 1350354.
The greatest common factor of 9816/146,1932/9249 = [GCF of 9816,1932]/[LCM of 146,9249]= 12/1350354
Therefore, the GCF of 9816/146,1932/9249 is 12/1350354.
To find the highest common factor of 9816,1932, we have to find the factors of both numbers and list the highest common factor.
The factors of 9816 are 1, 2, 3, 4, 6, 8, 12, 24, 409, 818, 1227, 1636, 2454, 3272, 4908, 9816
The factors of 1932 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966, 1932
The HCF of 9816,1932 is 12.
Lets's calculate GCF of 9816,1932
| 2 | 9816, 1932 |
| 2 | 4908, 966 |
| 3 | 2454, 483 |
| 818, 161 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 9816,1932 By Matching Biggest Common Factor Method
Now, list down the factors of 9816
:1,2,3,4,6,8,12,24,409,818,1227,1636,2454,3272,4908,9816
Now, list down the factors of 1932
:1,2,3,4,6,7,12,14,21,23,28,42,46,69,84,92,138,161,276,322,483,644,966,1932
Greatest Common Factor
We found the factors 9816,1932 . The biggest common factor number is the GCF number.
So the greatest common factor 9816,1932 is 12.
Lets's calculate LCM of 146,9249
Given numbers has no common factors except 1. So, there LCM is their product i.e 1350354
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/1350354
Therefore, the GCF of Fractions 9816/146,1932/9249 is 12/1350354
Least Common Multiple of 146,9249 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 146,9249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,9249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(146,9249) x common factors =1 x 1 = 1
LCM(146,9249) = ( 146 × 9249 ) / 1
LCM(146,9249) = 1350354 / 1
LCM(146,9249) = 1350354
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FAQs on GCF of Fractions of 9816/146, 1932/9249
1. What is the HCF of 9816,1932?
The HCF of 9816,1932 is 12
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 9816/146, 1932/9249?
Answer: GCF of Numerators as per given numbers 9816/146, 1932/9249 is
GCF of Numerators i.e. for 9816,1932 is 12
LCM of denominators i.e. for 146,9249 is 1350354.
Thus, GCF of Fractions is 12/1350354.Finally, GCF of Fractions for 9816/146, 1932/9249 is 12/1350354.