GCF of 6284/825, 2374/8043
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6284/825, 2374/8043 i.e 2/2211825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6284/825, 2374/8043.
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 6284/825,2374/8043?
Given fractions are 6284/825,2374/8043
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 6284/825,2374/8043, numerators are 6284,2374
Denominators are 825,8043
The GCF of 6284,2374 is 2 .
LCM of 825,8043 is 2211825.
The greatest common factor of 6284/825,2374/8043 = [GCF of 6284,2374]/[LCM of 825,8043]= 2/2211825
Therefore, the GCF of 6284/825,2374/8043 is 2/2211825.
To find the highest common factor of 6284,2374, we have to find the factors of both numbers and list the highest common factor.
The factors of 6284 are 1, 2, 4, 1571, 3142, 6284
The factors of 2374 are 1, 2, 1187, 2374
The HCF of 6284,2374 is 2.
Lets's calculate GCF of 6284,2374
| 2 | 6284, 2374 |
| 3142, 1187 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6284,2374 By Matching Biggest Common Factor Method
Now, list down the factors of 6284
:1,2,4,1571,3142,6284
Now, list down the factors of 2374
:1,2,1187,2374
Greatest Common Factor
We found the factors 6284,2374 . The biggest common factor number is the GCF number.
So the greatest common factor 6284,2374 is 2.
Lets's calculate LCM of 825,8043
| 3 | 825, 8043 |
| 275, 2681 |
∴ So the LCM of the given numbers is 3 x 275 x 2681 = 2211825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2211825
Therefore, the GCF of Fractions 6284/825,2374/8043 is 2/2211825
Least Common Multiple of 825,8043 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 825,8043 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(825,8043) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(825,8043) x common factors =3 x 1 = 3
LCM(825,8043) = ( 825 × 8043 ) / 3
LCM(825,8043) = 6635475 / 3
LCM(825,8043) = 2211825
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FAQs on GCF of Fractions of 6284/825, 2374/8043
1. What is the HCF of 6284,2374?
The HCF of 6284,2374 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 6284/825, 2374/8043?
Answer: GCF of Numerators as per given numbers 6284/825, 2374/8043 is
GCF of Numerators i.e. for 6284,2374 is 2
LCM of denominators i.e. for 825,8043 is 2211825.
Thus, GCF of Fractions is 2/2211825.Finally, GCF of Fractions for 6284/825, 2374/8043 is 2/2211825.