GCF of 9841/740, 8284/5852
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9841/740, 8284/5852 i.e 1/1082620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9841/740, 8284/5852.
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 9841/740,8284/5852?
Given fractions are 9841/740,8284/5852
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 9841/740,8284/5852, numerators are 9841,8284
Denominators are 740,5852
The GCF of 9841,8284 is 1 .
LCM of 740,5852 is 1082620.
The greatest common factor of 9841/740,8284/5852 = [GCF of 9841,8284]/[LCM of 740,5852]= 1/1082620
Therefore, the GCF of 9841/740,8284/5852 is 1/1082620.
To find the highest common factor of 9841,8284, we have to find the factors of both numbers and list the highest common factor.
The factors of 9841 are 1, 13, 757, 9841
The factors of 8284 are 1, 2, 4, 19, 38, 76, 109, 218, 436, 2071, 4142, 8284
The HCF of 9841,8284 is 1.
Lets's calculate GCF of 9841,8284
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9841,8284 By Matching Biggest Common Factor Method
Now, list down the factors of 9841
:1,13,757,9841
Now, list down the factors of 8284
:1,2,4,19,38,76,109,218,436,2071,4142,8284
Greatest Common Factor
We found the factors 9841,8284 . The biggest common factor number is the GCF number.
So the greatest common factor 9841,8284 is 1.
Lets's calculate LCM of 740,5852
| 2 | 740, 5852 |
| 2 | 370, 2926 |
| 185, 1463 |
∴ So the LCM of the given numbers is 2 x 2 x 185 x 1463 = 1082620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1082620
Therefore, the GCF of Fractions 9841/740,8284/5852 is 1/1082620
Least Common Multiple of 740,5852 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 740,5852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,5852) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(740,5852) x common factors =4 x 1 = 4
LCM(740,5852) = ( 740 × 5852 ) / 4
LCM(740,5852) = 4330480 / 4
LCM(740,5852) = 1082620
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FAQs on GCF of Fractions of 9841/740, 8284/5852
1. What is the HCF of 9841,8284?
The HCF of 9841,8284 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 9841/740, 8284/5852?
Answer: GCF of Numerators as per given numbers 9841/740, 8284/5852 is
GCF of Numerators i.e. for 9841,8284 is 1
LCM of denominators i.e. for 740,5852 is 1082620.
Thus, GCF of Fractions is 1/1082620.Finally, GCF of Fractions for 9841/740, 8284/5852 is 1/1082620.