GCF of 7838/834, 8764/5721
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7838/834, 8764/5721 i.e 2/1590438 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7838/834, 8764/5721.
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 7838/834,8764/5721?
Given fractions are 7838/834,8764/5721
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 7838/834,8764/5721, numerators are 7838,8764
Denominators are 834,5721
The GCF of 7838,8764 is 2 .
LCM of 834,5721 is 1590438.
The greatest common factor of 7838/834,8764/5721 = [GCF of 7838,8764]/[LCM of 834,5721]= 2/1590438
Therefore, the GCF of 7838/834,8764/5721 is 2/1590438.
To find the highest common factor of 7838,8764, we have to find the factors of both numbers and list the highest common factor.
The factors of 7838 are 1, 2, 3919, 7838
The factors of 8764 are 1, 2, 4, 7, 14, 28, 313, 626, 1252, 2191, 4382, 8764
The HCF of 7838,8764 is 2.
Lets's calculate GCF of 7838,8764
| 2 | 7838, 8764 |
| 3919, 4382 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7838,8764 By Matching Biggest Common Factor Method
Now, list down the factors of 7838
:1,2,3919,7838
Now, list down the factors of 8764
:1,2,4,7,14,28,313,626,1252,2191,4382,8764
Greatest Common Factor
We found the factors 7838,8764 . The biggest common factor number is the GCF number.
So the greatest common factor 7838,8764 is 2.
Lets's calculate LCM of 834,5721
| 3 | 834, 5721 |
| 278, 1907 |
∴ So the LCM of the given numbers is 3 x 278 x 1907 = 1590438
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1590438
Therefore, the GCF of Fractions 7838/834,8764/5721 is 2/1590438
Least Common Multiple of 834,5721 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 834,5721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(834,5721) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(834,5721) x common factors =3 x 1 = 3
LCM(834,5721) = ( 834 × 5721 ) / 3
LCM(834,5721) = 4771314 / 3
LCM(834,5721) = 1590438
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FAQs on GCF of Fractions of 7838/834, 8764/5721
1. What is the HCF of 7838,8764?
The HCF of 7838,8764 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 7838/834, 8764/5721?
Answer: GCF of Numerators as per given numbers 7838/834, 8764/5721 is
GCF of Numerators i.e. for 7838,8764 is 2
LCM of denominators i.e. for 834,5721 is 1590438.
Thus, GCF of Fractions is 2/1590438.Finally, GCF of Fractions for 7838/834, 8764/5721 is 2/1590438.