GCF of 8293/621, 5802/7966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8293/621, 5802/7966 i.e 1/4946886 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8293/621, 5802/7966.
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 8293/621,5802/7966?
Given fractions are 8293/621,5802/7966
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 8293/621,5802/7966, numerators are 8293,5802
Denominators are 621,7966
The GCF of 8293,5802 is 1 .
LCM of 621,7966 is 4946886.
The greatest common factor of 8293/621,5802/7966 = [GCF of 8293,5802]/[LCM of 621,7966]= 1/4946886
Therefore, the GCF of 8293/621,5802/7966 is 1/4946886.
To find the highest common factor of 8293,5802, 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 5802 are 1, 2, 3, 6, 967, 1934, 2901, 5802
The HCF of 8293,5802 is 1.
Lets's calculate GCF of 8293,5802
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8293,5802 By Matching Biggest Common Factor Method
Now, list down the factors of 8293
:1,8293
Now, list down the factors of 5802
:1,2,3,6,967,1934,2901,5802
Greatest Common Factor
We found the factors 8293,5802 . The biggest common factor number is the GCF number.
So the greatest common factor 8293,5802 is 1.
Lets's calculate LCM of 621,7966
Given numbers has no common factors except 1. So, there LCM is their product i.e 4946886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4946886
Therefore, the GCF of Fractions 8293/621,5802/7966 is 1/4946886
Least Common Multiple of 621,7966 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 621,7966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,7966) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(621,7966) x common factors =1 x 1 = 1
LCM(621,7966) = ( 621 × 7966 ) / 1
LCM(621,7966) = 4946886 / 1
LCM(621,7966) = 4946886
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FAQs on GCF of Fractions of 8293/621, 5802/7966
1. What is the HCF of 8293,5802?
The HCF of 8293,5802 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 8293/621, 5802/7966?
Answer: GCF of Numerators as per given numbers 8293/621, 5802/7966 is
GCF of Numerators i.e. for 8293,5802 is 1
LCM of denominators i.e. for 621,7966 is 4946886.
Thus, GCF of Fractions is 1/4946886.Finally, GCF of Fractions for 8293/621, 5802/7966 is 1/4946886.