GCF of 8569/78, 4213/241
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8569/78, 4213/241 i.e 11/18798 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8569/78, 4213/241.
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 8569/78,4213/241?
Given fractions are 8569/78,4213/241
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 8569/78,4213/241, numerators are 8569,4213
Denominators are 78,241
The GCF of 8569,4213 is 11 .
LCM of 78,241 is 18798.
The greatest common factor of 8569/78,4213/241 = [GCF of 8569,4213]/[LCM of 78,241]= 11/18798
Therefore, the GCF of 8569/78,4213/241 is 11/18798.
To find the highest common factor of 8569,4213, we have to find the factors of both numbers and list the highest common factor.
The factors of 8569 are 1, 11, 19, 41, 209, 451, 779, 8569
The factors of 4213 are 1, 11, 383, 4213
The HCF of 8569,4213 is 11.
Lets's calculate GCF of 8569,4213
| 11 | 8569, 4213 |
| 779, 383 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 8569,4213 By Matching Biggest Common Factor Method
Now, list down the factors of 8569
:1,11,19,41,209,451,779,8569
Now, list down the factors of 4213
:1,11,383,4213
Greatest Common Factor
We found the factors 8569,4213 . The biggest common factor number is the GCF number.
So the greatest common factor 8569,4213 is 11.
Lets's calculate LCM of 78,241
Given numbers has no common factors except 1. So, there LCM is their product i.e 18798
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/18798
Therefore, the GCF of Fractions 8569/78,4213/241 is 11/18798
Least Common Multiple of 78,241 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 78,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(78,241) x common factors =1 x 1 = 1
LCM(78,241) = ( 78 × 241 ) / 1
LCM(78,241) = 18798 / 1
LCM(78,241) = 18798
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FAQs on GCF of Fractions of 8569/78, 4213/241
1. What is the HCF of 8569,4213?
The HCF of 8569,4213 is 11
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 8569/78, 4213/241?
Answer: GCF of Numerators as per given numbers 8569/78, 4213/241 is
GCF of Numerators i.e. for 8569,4213 is 11
LCM of denominators i.e. for 78,241 is 18798.
Thus, GCF of Fractions is 11/18798.Finally, GCF of Fractions for 8569/78, 4213/241 is 11/18798.