GCF of 7539/221, 5159/350
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7539/221, 5159/350 i.e 7/77350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7539/221, 5159/350.
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 7539/221,5159/350?
Given fractions are 7539/221,5159/350
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 7539/221,5159/350, numerators are 7539,5159
Denominators are 221,350
The GCF of 7539,5159 is 7 .
LCM of 221,350 is 77350.
The greatest common factor of 7539/221,5159/350 = [GCF of 7539,5159]/[LCM of 221,350]= 7/77350
Therefore, the GCF of 7539/221,5159/350 is 7/77350.
To find the highest common factor of 7539,5159, we have to find the factors of both numbers and list the highest common factor.
The factors of 7539 are 1, 3, 7, 21, 359, 1077, 2513, 7539
The factors of 5159 are 1, 7, 11, 67, 77, 469, 737, 5159
The HCF of 7539,5159 is 7.
Lets's calculate GCF of 7539,5159
| 7 | 7539, 5159 |
| 1077, 737 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 7539,5159 By Matching Biggest Common Factor Method
Now, list down the factors of 7539
:1,3,7,21,359,1077,2513,7539
Now, list down the factors of 5159
:1,7,11,67,77,469,737,5159
Greatest Common Factor
We found the factors 7539,5159 . The biggest common factor number is the GCF number.
So the greatest common factor 7539,5159 is 7.
Lets's calculate LCM of 221,350
Given numbers has no common factors except 1. So, there LCM is their product i.e 77350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/77350
Therefore, the GCF of Fractions 7539/221,5159/350 is 7/77350
Least Common Multiple of 221,350 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 221,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,350) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(221,350) x common factors =1 x 1 = 1
LCM(221,350) = ( 221 × 350 ) / 1
LCM(221,350) = 77350 / 1
LCM(221,350) = 77350
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FAQs on GCF of Fractions of 7539/221, 5159/350
1. What is the HCF of 7539,5159?
The HCF of 7539,5159 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 7539/221, 5159/350?
Answer: GCF of Numerators as per given numbers 7539/221, 5159/350 is
GCF of Numerators i.e. for 7539,5159 is 7
LCM of denominators i.e. for 221,350 is 77350.
Thus, GCF of Fractions is 7/77350.Finally, GCF of Fractions for 7539/221, 5159/350 is 7/77350.