GCF of 8397/822, 6922/755
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8397/822, 6922/755 i.e 1/620610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8397/822, 6922/755.
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 8397/822,6922/755?
Given fractions are 8397/822,6922/755
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 8397/822,6922/755, numerators are 8397,6922
Denominators are 822,755
The GCF of 8397,6922 is 1 .
LCM of 822,755 is 620610.
The greatest common factor of 8397/822,6922/755 = [GCF of 8397,6922]/[LCM of 822,755]= 1/620610
Therefore, the GCF of 8397/822,6922/755 is 1/620610.
To find the highest common factor of 8397,6922, we have to find the factors of both numbers and list the highest common factor.
The factors of 8397 are 1, 3, 9, 27, 311, 933, 2799, 8397
The factors of 6922 are 1, 2, 3461, 6922
The HCF of 8397,6922 is 1.
Lets's calculate GCF of 8397,6922
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8397,6922 By Matching Biggest Common Factor Method
Now, list down the factors of 8397
:1,3,9,27,311,933,2799,8397
Now, list down the factors of 6922
:1,2,3461,6922
Greatest Common Factor
We found the factors 8397,6922 . The biggest common factor number is the GCF number.
So the greatest common factor 8397,6922 is 1.
Lets's calculate LCM of 822,755
Given numbers has no common factors except 1. So, there LCM is their product i.e 620610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/620610
Therefore, the GCF of Fractions 8397/822,6922/755 is 1/620610
Least Common Multiple of 822,755 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 822,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(822,755) x common factors =1 x 1 = 1
LCM(822,755) = ( 822 × 755 ) / 1
LCM(822,755) = 620610 / 1
LCM(822,755) = 620610
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FAQs on GCF of Fractions of 8397/822, 6922/755
1. What is the HCF of 8397,6922?
The HCF of 8397,6922 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 8397/822, 6922/755?
Answer: GCF of Numerators as per given numbers 8397/822, 6922/755 is
GCF of Numerators i.e. for 8397,6922 is 1
LCM of denominators i.e. for 822,755 is 620610.
Thus, GCF of Fractions is 1/620610.Finally, GCF of Fractions for 8397/822, 6922/755 is 1/620610.