GCF of 8297/209, 7557/8630
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8297/209, 7557/8630 i.e 1/1803670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8297/209, 7557/8630.
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 8297/209,7557/8630?
Given fractions are 8297/209,7557/8630
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 8297/209,7557/8630, numerators are 8297,7557
Denominators are 209,8630
The GCF of 8297,7557 is 1 .
LCM of 209,8630 is 1803670.
The greatest common factor of 8297/209,7557/8630 = [GCF of 8297,7557]/[LCM of 209,8630]= 1/1803670
Therefore, the GCF of 8297/209,7557/8630 is 1/1803670.
To find the highest common factor of 8297,7557, we have to find the factors of both numbers and list the highest common factor.
The factors of 8297 are 1, 8297
The factors of 7557 are 1, 3, 11, 33, 229, 687, 2519, 7557
The HCF of 8297,7557 is 1.
Lets's calculate GCF of 8297,7557
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8297,7557 By Matching Biggest Common Factor Method
Now, list down the factors of 8297
:1,8297
Now, list down the factors of 7557
:1,3,11,33,229,687,2519,7557
Greatest Common Factor
We found the factors 8297,7557 . The biggest common factor number is the GCF number.
So the greatest common factor 8297,7557 is 1.
Lets's calculate LCM of 209,8630
Given numbers has no common factors except 1. So, there LCM is their product i.e 1803670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1803670
Therefore, the GCF of Fractions 8297/209,7557/8630 is 1/1803670
Least Common Multiple of 209,8630 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 209,8630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,8630) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(209,8630) x common factors =1 x 1 = 1
LCM(209,8630) = ( 209 × 8630 ) / 1
LCM(209,8630) = 1803670 / 1
LCM(209,8630) = 1803670
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FAQs on GCF of Fractions of 8297/209, 7557/8630
1. What is the HCF of 8297,7557?
The HCF of 8297,7557 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 8297/209, 7557/8630?
Answer: GCF of Numerators as per given numbers 8297/209, 7557/8630 is
GCF of Numerators i.e. for 8297,7557 is 1
LCM of denominators i.e. for 209,8630 is 1803670.
Thus, GCF of Fractions is 1/1803670.Finally, GCF of Fractions for 8297/209, 7557/8630 is 1/1803670.