GCF of 8293/810, 1446/5869
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8293/810, 1446/5869 i.e 1/4753890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8293/810, 1446/5869.
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 8293/810,1446/5869?
Given fractions are 8293/810,1446/5869
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 8293/810,1446/5869, numerators are 8293,1446
Denominators are 810,5869
The GCF of 8293,1446 is 1 .
LCM of 810,5869 is 4753890.
The greatest common factor of 8293/810,1446/5869 = [GCF of 8293,1446]/[LCM of 810,5869]= 1/4753890
Therefore, the GCF of 8293/810,1446/5869 is 1/4753890.
To find the highest common factor of 8293,1446, we have to find the factors of both numbers and list the highest common factor.
The factors of 8293 are 1, 8293
The factors of 1446 are 1, 2, 3, 6, 241, 482, 723, 1446
The HCF of 8293,1446 is 1.
Lets's calculate GCF of 8293,1446
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8293,1446 By Matching Biggest Common Factor Method
Now, list down the factors of 8293
:1,8293
Now, list down the factors of 1446
:1,2,3,6,241,482,723,1446
Greatest Common Factor
We found the factors 8293,1446 . The biggest common factor number is the GCF number.
So the greatest common factor 8293,1446 is 1.
Lets's calculate LCM of 810,5869
Given numbers has no common factors except 1. So, there LCM is their product i.e 4753890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4753890
Therefore, the GCF of Fractions 8293/810,1446/5869 is 1/4753890
Least Common Multiple of 810,5869 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 810,5869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,5869) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(810,5869) x common factors =1 x 1 = 1
LCM(810,5869) = ( 810 × 5869 ) / 1
LCM(810,5869) = 4753890 / 1
LCM(810,5869) = 4753890
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FAQs on GCF of Fractions of 8293/810, 1446/5869
1. What is the HCF of 8293,1446?
The HCF of 8293,1446 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 8293/810, 1446/5869?
Answer: GCF of Numerators as per given numbers 8293/810, 1446/5869 is
GCF of Numerators i.e. for 8293,1446 is 1
LCM of denominators i.e. for 810,5869 is 4753890.
Thus, GCF of Fractions is 1/4753890.Finally, GCF of Fractions for 8293/810, 1446/5869 is 1/4753890.