GCF of 6293/857, 1643/8753
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6293/857, 1643/8753 i.e 31/7501321 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6293/857, 1643/8753.
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 6293/857,1643/8753?
Given fractions are 6293/857,1643/8753
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 6293/857,1643/8753, numerators are 6293,1643
Denominators are 857,8753
The GCF of 6293,1643 is 31 .
LCM of 857,8753 is 7501321.
The greatest common factor of 6293/857,1643/8753 = [GCF of 6293,1643]/[LCM of 857,8753]= 31/7501321
Therefore, the GCF of 6293/857,1643/8753 is 31/7501321.
To find the highest common factor of 6293,1643, we have to find the factors of both numbers and list the highest common factor.
The factors of 6293 are 1, 7, 29, 31, 203, 217, 899, 6293
The factors of 1643 are 1, 31, 53, 1643
The HCF of 6293,1643 is 31.
Lets's calculate GCF of 6293,1643
| 31 | 6293, 1643 |
| 203, 53 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 6293,1643 By Matching Biggest Common Factor Method
Now, list down the factors of 6293
:1,7,29,31,203,217,899,6293
Now, list down the factors of 1643
:1,31,53,1643
Greatest Common Factor
We found the factors 6293,1643 . The biggest common factor number is the GCF number.
So the greatest common factor 6293,1643 is 31.
Lets's calculate LCM of 857,8753
Given numbers has no common factors except 1. So, there LCM is their product i.e 7501321
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/7501321
Therefore, the GCF of Fractions 6293/857,1643/8753 is 31/7501321
Least Common Multiple of 857,8753 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 857,8753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(857,8753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(857,8753) x common factors =1 x 1 = 1
LCM(857,8753) = ( 857 × 8753 ) / 1
LCM(857,8753) = 7501321 / 1
LCM(857,8753) = 7501321
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FAQs on GCF of Fractions of 6293/857, 1643/8753
1. What is the HCF of 6293,1643?
The HCF of 6293,1643 is 31
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 6293/857, 1643/8753?
Answer: GCF of Numerators as per given numbers 6293/857, 1643/8753 is
GCF of Numerators i.e. for 6293,1643 is 31
LCM of denominators i.e. for 857,8753 is 7501321.
Thus, GCF of Fractions is 31/7501321.Finally, GCF of Fractions for 6293/857, 1643/8753 is 31/7501321.