GCF of 7542/239, 5643/5021
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7542/239, 5643/5021 i.e 9/1200019 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7542/239, 5643/5021.
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 7542/239,5643/5021?
Given fractions are 7542/239,5643/5021
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 7542/239,5643/5021, numerators are 7542,5643
Denominators are 239,5021
The GCF of 7542,5643 is 9 .
LCM of 239,5021 is 1200019.
The greatest common factor of 7542/239,5643/5021 = [GCF of 7542,5643]/[LCM of 239,5021]= 9/1200019
Therefore, the GCF of 7542/239,5643/5021 is 9/1200019.
To find the highest common factor of 7542,5643, we have to find the factors of both numbers and list the highest common factor.
The factors of 7542 are 1, 2, 3, 6, 9, 18, 419, 838, 1257, 2514, 3771, 7542
The factors of 5643 are 1, 3, 9, 11, 19, 27, 33, 57, 99, 171, 209, 297, 513, 627, 1881, 5643
The HCF of 7542,5643 is 9.
Lets's calculate GCF of 7542,5643
| 3 | 7542, 5643 |
| 3 | 2514, 1881 |
| 838, 627 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 7542,5643 By Matching Biggest Common Factor Method
Now, list down the factors of 7542
:1,2,3,6,9,18,419,838,1257,2514,3771,7542
Now, list down the factors of 5643
:1,3,9,11,19,27,33,57,99,171,209,297,513,627,1881,5643
Greatest Common Factor
We found the factors 7542,5643 . The biggest common factor number is the GCF number.
So the greatest common factor 7542,5643 is 9.
Lets's calculate LCM of 239,5021
Given numbers has no common factors except 1. So, there LCM is their product i.e 1200019
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/1200019
Therefore, the GCF of Fractions 7542/239,5643/5021 is 9/1200019
Least Common Multiple of 239,5021 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 239,5021 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,5021) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,5021) x common factors =1 x 1 = 1
LCM(239,5021) = ( 239 × 5021 ) / 1
LCM(239,5021) = 1200019 / 1
LCM(239,5021) = 1200019
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FAQs on GCF of Fractions of 7542/239, 5643/5021
1. What is the HCF of 7542,5643?
The HCF of 7542,5643 is 9
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 7542/239, 5643/5021?
Answer: GCF of Numerators as per given numbers 7542/239, 5643/5021 is
GCF of Numerators i.e. for 7542,5643 is 9
LCM of denominators i.e. for 239,5021 is 1200019.
Thus, GCF of Fractions is 9/1200019.Finally, GCF of Fractions for 7542/239, 5643/5021 is 9/1200019.