GCF of 8153/822, 3858/619
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8153/822, 3858/619 i.e 1/508818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8153/822, 3858/619.
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 8153/822,3858/619?
Given fractions are 8153/822,3858/619
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 8153/822,3858/619, numerators are 8153,3858
Denominators are 822,619
The GCF of 8153,3858 is 1 .
LCM of 822,619 is 508818.
The greatest common factor of 8153/822,3858/619 = [GCF of 8153,3858]/[LCM of 822,619]= 1/508818
Therefore, the GCF of 8153/822,3858/619 is 1/508818.
To find the highest common factor of 8153,3858, we have to find the factors of both numbers and list the highest common factor.
The factors of 8153 are 1, 31, 263, 8153
The factors of 3858 are 1, 2, 3, 6, 643, 1286, 1929, 3858
The HCF of 8153,3858 is 1.
Lets's calculate GCF of 8153,3858
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8153,3858 By Matching Biggest Common Factor Method
Now, list down the factors of 8153
:1,31,263,8153
Now, list down the factors of 3858
:1,2,3,6,643,1286,1929,3858
Greatest Common Factor
We found the factors 8153,3858 . The biggest common factor number is the GCF number.
So the greatest common factor 8153,3858 is 1.
Lets's calculate LCM of 822,619
Given numbers has no common factors except 1. So, there LCM is their product i.e 508818
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/508818
Therefore, the GCF of Fractions 8153/822,3858/619 is 1/508818
Least Common Multiple of 822,619 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 822,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(822,619) x common factors =1 x 1 = 1
LCM(822,619) = ( 822 × 619 ) / 1
LCM(822,619) = 508818 / 1
LCM(822,619) = 508818
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FAQs on GCF of Fractions of 8153/822, 3858/619
1. What is the HCF of 8153,3858?
The HCF of 8153,3858 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 8153/822, 3858/619?
Answer: GCF of Numerators as per given numbers 8153/822, 3858/619 is
GCF of Numerators i.e. for 8153,3858 is 1
LCM of denominators i.e. for 822,619 is 508818.
Thus, GCF of Fractions is 1/508818.Finally, GCF of Fractions for 8153/822, 3858/619 is 1/508818.