GCF of 8215/801, 2796/5807
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8215/801, 2796/5807 i.e 1/4651407 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8215/801, 2796/5807.
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 8215/801,2796/5807?
Given fractions are 8215/801,2796/5807
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 8215/801,2796/5807, numerators are 8215,2796
Denominators are 801,5807
The GCF of 8215,2796 is 1 .
LCM of 801,5807 is 4651407.
The greatest common factor of 8215/801,2796/5807 = [GCF of 8215,2796]/[LCM of 801,5807]= 1/4651407
Therefore, the GCF of 8215/801,2796/5807 is 1/4651407.
To find the highest common factor of 8215,2796, we have to find the factors of both numbers and list the highest common factor.
The factors of 8215 are 1, 5, 31, 53, 155, 265, 1643, 8215
The factors of 2796 are 1, 2, 3, 4, 6, 12, 233, 466, 699, 932, 1398, 2796
The HCF of 8215,2796 is 1.
Lets's calculate GCF of 8215,2796
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8215,2796 By Matching Biggest Common Factor Method
Now, list down the factors of 8215
:1,5,31,53,155,265,1643,8215
Now, list down the factors of 2796
:1,2,3,4,6,12,233,466,699,932,1398,2796
Greatest Common Factor
We found the factors 8215,2796 . The biggest common factor number is the GCF number.
So the greatest common factor 8215,2796 is 1.
Lets's calculate LCM of 801,5807
Given numbers has no common factors except 1. So, there LCM is their product i.e 4651407
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4651407
Therefore, the GCF of Fractions 8215/801,2796/5807 is 1/4651407
Least Common Multiple of 801,5807 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 801,5807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(801,5807) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(801,5807) x common factors =1 x 1 = 1
LCM(801,5807) = ( 801 × 5807 ) / 1
LCM(801,5807) = 4651407 / 1
LCM(801,5807) = 4651407
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FAQs on GCF of Fractions of 8215/801, 2796/5807
1. What is the HCF of 8215,2796?
The HCF of 8215,2796 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 8215/801, 2796/5807?
Answer: GCF of Numerators as per given numbers 8215/801, 2796/5807 is
GCF of Numerators i.e. for 8215,2796 is 1
LCM of denominators i.e. for 801,5807 is 4651407.
Thus, GCF of Fractions is 1/4651407.Finally, GCF of Fractions for 8215/801, 2796/5807 is 1/4651407.