GCF of 9854/742, 2336/9905
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9854/742, 2336/9905 i.e 2/1049930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9854/742, 2336/9905.
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 9854/742,2336/9905?
Given fractions are 9854/742,2336/9905
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 9854/742,2336/9905, numerators are 9854,2336
Denominators are 742,9905
The GCF of 9854,2336 is 2 .
LCM of 742,9905 is 1049930.
The greatest common factor of 9854/742,2336/9905 = [GCF of 9854,2336]/[LCM of 742,9905]= 2/1049930
Therefore, the GCF of 9854/742,2336/9905 is 2/1049930.
To find the highest common factor of 9854,2336, we have to find the factors of both numbers and list the highest common factor.
The factors of 9854 are 1, 2, 13, 26, 379, 758, 4927, 9854
The factors of 2336 are 1, 2, 4, 8, 16, 32, 73, 146, 292, 584, 1168, 2336
The HCF of 9854,2336 is 2.
Lets's calculate GCF of 9854,2336
| 2 | 9854, 2336 |
| 4927, 1168 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9854,2336 By Matching Biggest Common Factor Method
Now, list down the factors of 9854
:1,2,13,26,379,758,4927,9854
Now, list down the factors of 2336
:1,2,4,8,16,32,73,146,292,584,1168,2336
Greatest Common Factor
We found the factors 9854,2336 . The biggest common factor number is the GCF number.
So the greatest common factor 9854,2336 is 2.
Lets's calculate LCM of 742,9905
| 7 | 742, 9905 |
| 106, 1415 |
∴ So the LCM of the given numbers is 7 x 106 x 1415 = 1049930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1049930
Therefore, the GCF of Fractions 9854/742,2336/9905 is 2/1049930
Least Common Multiple of 742,9905 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 742,9905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,9905) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(742,9905) x common factors =7 x 1 = 7
LCM(742,9905) = ( 742 × 9905 ) / 7
LCM(742,9905) = 7349510 / 7
LCM(742,9905) = 1049930
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9854/742, 2336/9905
1. What is the HCF of 9854,2336?
The HCF of 9854,2336 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 9854/742, 2336/9905?
Answer: GCF of Numerators as per given numbers 9854/742, 2336/9905 is
GCF of Numerators i.e. for 9854,2336 is 2
LCM of denominators i.e. for 742,9905 is 1049930.
Thus, GCF of Fractions is 2/1049930.Finally, GCF of Fractions for 9854/742, 2336/9905 is 2/1049930.