GCF of 7751/422, 8983/2384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7751/422, 8983/2384 i.e 1/503024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7751/422, 8983/2384.
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 7751/422,8983/2384?
Given fractions are 7751/422,8983/2384
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 7751/422,8983/2384, numerators are 7751,8983
Denominators are 422,2384
The GCF of 7751,8983 is 1 .
LCM of 422,2384 is 503024.
The greatest common factor of 7751/422,8983/2384 = [GCF of 7751,8983]/[LCM of 422,2384]= 1/503024
Therefore, the GCF of 7751/422,8983/2384 is 1/503024.
To find the highest common factor of 7751,8983, we have to find the factors of both numbers and list the highest common factor.
The factors of 7751 are 1, 23, 337, 7751
The factors of 8983 are 1, 13, 691, 8983
The HCF of 7751,8983 is 1.
Lets's calculate GCF of 7751,8983
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7751,8983 By Matching Biggest Common Factor Method
Now, list down the factors of 7751
:1,23,337,7751
Now, list down the factors of 8983
:1,13,691,8983
Greatest Common Factor
We found the factors 7751,8983 . The biggest common factor number is the GCF number.
So the greatest common factor 7751,8983 is 1.
Lets's calculate LCM of 422,2384
| 2 | 422, 2384 |
| 211, 1192 |
∴ So the LCM of the given numbers is 2 x 211 x 1192 = 503024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/503024
Therefore, the GCF of Fractions 7751/422,8983/2384 is 1/503024
Least Common Multiple of 422,2384 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 422,2384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,2384) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(422,2384) x common factors =2 x 1 = 2
LCM(422,2384) = ( 422 × 2384 ) / 2
LCM(422,2384) = 1006048 / 2
LCM(422,2384) = 503024
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FAQs on GCF of Fractions of 7751/422, 8983/2384
1. What is the HCF of 7751,8983?
The HCF of 7751,8983 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 7751/422, 8983/2384?
Answer: GCF of Numerators as per given numbers 7751/422, 8983/2384 is
GCF of Numerators i.e. for 7751,8983 is 1
LCM of denominators i.e. for 422,2384 is 503024.
Thus, GCF of Fractions is 1/503024.Finally, GCF of Fractions for 7751/422, 8983/2384 is 1/503024.