GCF of 8519/294, 2247/561
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8519/294, 2247/561 i.e 7/54978 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8519/294, 2247/561.
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 8519/294,2247/561?
Given fractions are 8519/294,2247/561
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 8519/294,2247/561, numerators are 8519,2247
Denominators are 294,561
The GCF of 8519,2247 is 7 .
LCM of 294,561 is 54978.
The greatest common factor of 8519/294,2247/561 = [GCF of 8519,2247]/[LCM of 294,561]= 7/54978
Therefore, the GCF of 8519/294,2247/561 is 7/54978.
To find the highest common factor of 8519,2247, we have to find the factors of both numbers and list the highest common factor.
The factors of 8519 are 1, 7, 1217, 8519
The factors of 2247 are 1, 3, 7, 21, 107, 321, 749, 2247
The HCF of 8519,2247 is 7.
Lets's calculate GCF of 8519,2247
| 7 | 8519, 2247 |
| 1217, 321 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8519,2247 By Matching Biggest Common Factor Method
Now, list down the factors of 8519
:1,7,1217,8519
Now, list down the factors of 2247
:1,3,7,21,107,321,749,2247
Greatest Common Factor
We found the factors 8519,2247 . The biggest common factor number is the GCF number.
So the greatest common factor 8519,2247 is 7.
Lets's calculate LCM of 294,561
| 3 | 294, 561 |
| 98, 187 |
∴ So the LCM of the given numbers is 3 x 98 x 187 = 54978
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/54978
Therefore, the GCF of Fractions 8519/294,2247/561 is 7/54978
Least Common Multiple of 294,561 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 294,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,561) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(294,561) x common factors =3 x 1 = 3
LCM(294,561) = ( 294 × 561 ) / 3
LCM(294,561) = 164934 / 3
LCM(294,561) = 54978
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FAQs on GCF of Fractions of 8519/294, 2247/561
1. What is the HCF of 8519,2247?
The HCF of 8519,2247 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 8519/294, 2247/561?
Answer: GCF of Numerators as per given numbers 8519/294, 2247/561 is
GCF of Numerators i.e. for 8519,2247 is 7
LCM of denominators i.e. for 294,561 is 54978.
Thus, GCF of Fractions is 7/54978.Finally, GCF of Fractions for 8519/294, 2247/561 is 7/54978.