GCF of 8547/246, 7844/213
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8547/246, 7844/213 i.e 37/17466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8547/246, 7844/213.
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 8547/246,7844/213?
Given fractions are 8547/246,7844/213
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 8547/246,7844/213, numerators are 8547,7844
Denominators are 246,213
The GCF of 8547,7844 is 37 .
LCM of 246,213 is 17466.
The greatest common factor of 8547/246,7844/213 = [GCF of 8547,7844]/[LCM of 246,213]= 37/17466
Therefore, the GCF of 8547/246,7844/213 is 37/17466.
To find the highest common factor of 8547,7844, we have to find the factors of both numbers and list the highest common factor.
The factors of 8547 are 1, 3, 7, 11, 21, 33, 37, 77, 111, 231, 259, 407, 777, 1221, 2849, 8547
The factors of 7844 are 1, 2, 4, 37, 53, 74, 106, 148, 212, 1961, 3922, 7844
The HCF of 8547,7844 is 37.
Lets's calculate GCF of 8547,7844
| 37 | 8547, 7844 |
| 231, 212 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 8547,7844 By Matching Biggest Common Factor Method
Now, list down the factors of 8547
:1,3,7,11,21,33,37,77,111,231,259,407,777,1221,2849,8547
Now, list down the factors of 7844
:1,2,4,37,53,74,106,148,212,1961,3922,7844
Greatest Common Factor
We found the factors 8547,7844 . The biggest common factor number is the GCF number.
So the greatest common factor 8547,7844 is 37.
Lets's calculate LCM of 246,213
| 3 | 246, 213 |
| 82, 71 |
∴ So the LCM of the given numbers is 3 x 82 x 71 = 17466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/17466
Therefore, the GCF of Fractions 8547/246,7844/213 is 37/17466
Least Common Multiple of 246,213 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 246,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(246,213) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(246,213) x common factors =3 x 1 = 3
LCM(246,213) = ( 246 × 213 ) / 3
LCM(246,213) = 52398 / 3
LCM(246,213) = 17466
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FAQs on GCF of Fractions of 8547/246, 7844/213
1. What is the HCF of 8547,7844?
The HCF of 8547,7844 is 37
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 8547/246, 7844/213?
Answer: GCF of Numerators as per given numbers 8547/246, 7844/213 is
GCF of Numerators i.e. for 8547,7844 is 37
LCM of denominators i.e. for 246,213 is 17466.
Thus, GCF of Fractions is 37/17466.Finally, GCF of Fractions for 8547/246, 7844/213 is 37/17466.