GCF of 7202/411, 3159/269
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7202/411, 3159/269 i.e 13/110559 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7202/411, 3159/269.
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 7202/411,3159/269?
Given fractions are 7202/411,3159/269
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 7202/411,3159/269, numerators are 7202,3159
Denominators are 411,269
The GCF of 7202,3159 is 13 .
LCM of 411,269 is 110559.
The greatest common factor of 7202/411,3159/269 = [GCF of 7202,3159]/[LCM of 411,269]= 13/110559
Therefore, the GCF of 7202/411,3159/269 is 13/110559.
To find the highest common factor of 7202,3159, we have to find the factors of both numbers and list the highest common factor.
The factors of 7202 are 1, 2, 13, 26, 277, 554, 3601, 7202
The factors of 3159 are 1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 1053, 3159
The HCF of 7202,3159 is 13.
Lets's calculate GCF of 7202,3159
| 13 | 7202, 3159 |
| 554, 243 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 7202,3159 By Matching Biggest Common Factor Method
Now, list down the factors of 7202
:1,2,13,26,277,554,3601,7202
Now, list down the factors of 3159
:1,3,9,13,27,39,81,117,243,351,1053,3159
Greatest Common Factor
We found the factors 7202,3159 . The biggest common factor number is the GCF number.
So the greatest common factor 7202,3159 is 13.
Lets's calculate LCM of 411,269
Given numbers has no common factors except 1. So, there LCM is their product i.e 110559
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/110559
Therefore, the GCF of Fractions 7202/411,3159/269 is 13/110559
Least Common Multiple of 411,269 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 411,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(411,269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(411,269) x common factors =1 x 1 = 1
LCM(411,269) = ( 411 × 269 ) / 1
LCM(411,269) = 110559 / 1
LCM(411,269) = 110559
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FAQs on GCF of Fractions of 7202/411, 3159/269
1. What is the HCF of 7202,3159?
The HCF of 7202,3159 is 13
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 7202/411, 3159/269?
Answer: GCF of Numerators as per given numbers 7202/411, 3159/269 is
GCF of Numerators i.e. for 7202,3159 is 13
LCM of denominators i.e. for 411,269 is 110559.
Thus, GCF of Fractions is 13/110559.Finally, GCF of Fractions for 7202/411, 3159/269 is 13/110559.