GCF of 5257/243, 8547/8188
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5257/243, 8547/8188 i.e 7/1989684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5257/243, 8547/8188.
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 5257/243,8547/8188?
Given fractions are 5257/243,8547/8188
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 5257/243,8547/8188, numerators are 5257,8547
Denominators are 243,8188
The GCF of 5257,8547 is 7 .
LCM of 243,8188 is 1989684.
The greatest common factor of 5257/243,8547/8188 = [GCF of 5257,8547]/[LCM of 243,8188]= 7/1989684
Therefore, the GCF of 5257/243,8547/8188 is 7/1989684.
To find the highest common factor of 5257,8547, we have to find the factors of both numbers and list the highest common factor.
The factors of 5257 are 1, 7, 751, 5257
The factors of 8547 are 1, 3, 7, 11, 21, 33, 37, 77, 111, 231, 259, 407, 777, 1221, 2849, 8547
The HCF of 5257,8547 is 7.
Lets's calculate GCF of 5257,8547
| 7 | 5257, 8547 |
| 751, 1221 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 5257,8547 By Matching Biggest Common Factor Method
Now, list down the factors of 5257
:1,7,751,5257
Now, list down the factors of 8547
:1,3,7,11,21,33,37,77,111,231,259,407,777,1221,2849,8547
Greatest Common Factor
We found the factors 5257,8547 . The biggest common factor number is the GCF number.
So the greatest common factor 5257,8547 is 7.
Lets's calculate LCM of 243,8188
Given numbers has no common factors except 1. So, there LCM is their product i.e 1989684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1989684
Therefore, the GCF of Fractions 5257/243,8547/8188 is 7/1989684
Least Common Multiple of 243,8188 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 243,8188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,8188) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(243,8188) x common factors =1 x 1 = 1
LCM(243,8188) = ( 243 × 8188 ) / 1
LCM(243,8188) = 1989684 / 1
LCM(243,8188) = 1989684
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FAQs on GCF of Fractions of 5257/243, 8547/8188
1. What is the HCF of 5257,8547?
The HCF of 5257,8547 is 7
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 5257/243, 8547/8188?
Answer: GCF of Numerators as per given numbers 5257/243, 8547/8188 is
GCF of Numerators i.e. for 5257,8547 is 7
LCM of denominators i.e. for 243,8188 is 1989684.
Thus, GCF of Fractions is 7/1989684.Finally, GCF of Fractions for 5257/243, 8547/8188 is 7/1989684.