GCF of 8203/325, 7548/8704
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8203/325, 7548/8704 i.e 1/2828800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8203/325, 7548/8704.
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 8203/325,7548/8704?
Given fractions are 8203/325,7548/8704
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 8203/325,7548/8704, numerators are 8203,7548
Denominators are 325,8704
The GCF of 8203,7548 is 1 .
LCM of 325,8704 is 2828800.
The greatest common factor of 8203/325,7548/8704 = [GCF of 8203,7548]/[LCM of 325,8704]= 1/2828800
Therefore, the GCF of 8203/325,7548/8704 is 1/2828800.
To find the highest common factor of 8203,7548, we have to find the factors of both numbers and list the highest common factor.
The factors of 8203 are 1, 13, 631, 8203
The factors of 7548 are 1, 2, 3, 4, 6, 12, 17, 34, 37, 51, 68, 74, 102, 111, 148, 204, 222, 444, 629, 1258, 1887, 2516, 3774, 7548
The HCF of 8203,7548 is 1.
Lets's calculate GCF of 8203,7548
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8203,7548 By Matching Biggest Common Factor Method
Now, list down the factors of 8203
:1,13,631,8203
Now, list down the factors of 7548
:1,2,3,4,6,12,17,34,37,51,68,74,102,111,148,204,222,444,629,1258,1887,2516,3774,7548
Greatest Common Factor
We found the factors 8203,7548 . The biggest common factor number is the GCF number.
So the greatest common factor 8203,7548 is 1.
Lets's calculate LCM of 325,8704
Given numbers has no common factors except 1. So, there LCM is their product i.e 2828800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2828800
Therefore, the GCF of Fractions 8203/325,7548/8704 is 1/2828800
Least Common Multiple of 325,8704 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 325,8704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,8704) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(325,8704) x common factors =1 x 1 = 1
LCM(325,8704) = ( 325 × 8704 ) / 1
LCM(325,8704) = 2828800 / 1
LCM(325,8704) = 2828800
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FAQs on GCF of Fractions of 8203/325, 7548/8704
1. What is the HCF of 8203,7548?
The HCF of 8203,7548 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 8203/325, 7548/8704?
Answer: GCF of Numerators as per given numbers 8203/325, 7548/8704 is
GCF of Numerators i.e. for 8203,7548 is 1
LCM of denominators i.e. for 325,8704 is 2828800.
Thus, GCF of Fractions is 1/2828800.Finally, GCF of Fractions for 8203/325, 7548/8704 is 1/2828800.