GCF of 2084/304, 9854/5374
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2084/304, 9854/5374 i.e 2/816848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2084/304, 9854/5374.
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 2084/304,9854/5374?
Given fractions are 2084/304,9854/5374
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 2084/304,9854/5374, numerators are 2084,9854
Denominators are 304,5374
The GCF of 2084,9854 is 2 .
LCM of 304,5374 is 816848.
The greatest common factor of 2084/304,9854/5374 = [GCF of 2084,9854]/[LCM of 304,5374]= 2/816848
Therefore, the GCF of 2084/304,9854/5374 is 2/816848.
To find the highest common factor of 2084,9854, we have to find the factors of both numbers and list the highest common factor.
The factors of 2084 are 1, 2, 4, 521, 1042, 2084
The factors of 9854 are 1, 2, 13, 26, 379, 758, 4927, 9854
The HCF of 2084,9854 is 2.
Lets's calculate GCF of 2084,9854
| 2 | 2084, 9854 |
| 1042, 4927 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2084,9854 By Matching Biggest Common Factor Method
Now, list down the factors of 2084
:1,2,4,521,1042,2084
Now, list down the factors of 9854
:1,2,13,26,379,758,4927,9854
Greatest Common Factor
We found the factors 2084,9854 . The biggest common factor number is the GCF number.
So the greatest common factor 2084,9854 is 2.
Lets's calculate LCM of 304,5374
| 2 | 304, 5374 |
| 152, 2687 |
∴ So the LCM of the given numbers is 2 x 152 x 2687 = 816848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/816848
Therefore, the GCF of Fractions 2084/304,9854/5374 is 2/816848
Least Common Multiple of 304,5374 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 304,5374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,5374) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(304,5374) x common factors =2 x 1 = 2
LCM(304,5374) = ( 304 × 5374 ) / 2
LCM(304,5374) = 1633696 / 2
LCM(304,5374) = 816848
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FAQs on GCF of Fractions of 2084/304, 9854/5374
1. What is the HCF of 2084,9854?
The HCF of 2084,9854 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 2084/304, 9854/5374?
Answer: GCF of Numerators as per given numbers 2084/304, 9854/5374 is
GCF of Numerators i.e. for 2084,9854 is 2
LCM of denominators i.e. for 304,5374 is 816848.
Thus, GCF of Fractions is 2/816848.Finally, GCF of Fractions for 2084/304, 9854/5374 is 2/816848.