GCF of 4543/272, 7354/9911
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4543/272, 7354/9911 i.e 1/158576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4543/272, 7354/9911.
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 4543/272,7354/9911?
Given fractions are 4543/272,7354/9911
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 4543/272,7354/9911, numerators are 4543,7354
Denominators are 272,9911
The GCF of 4543,7354 is 1 .
LCM of 272,9911 is 158576.
The greatest common factor of 4543/272,7354/9911 = [GCF of 4543,7354]/[LCM of 272,9911]= 1/158576
Therefore, the GCF of 4543/272,7354/9911 is 1/158576.
To find the highest common factor of 4543,7354, we have to find the factors of both numbers and list the highest common factor.
The factors of 4543 are 1, 7, 11, 59, 77, 413, 649, 4543
The factors of 7354 are 1, 2, 3677, 7354
The HCF of 4543,7354 is 1.
Lets's calculate GCF of 4543,7354
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4543,7354 By Matching Biggest Common Factor Method
Now, list down the factors of 4543
:1,7,11,59,77,413,649,4543
Now, list down the factors of 7354
:1,2,3677,7354
Greatest Common Factor
We found the factors 4543,7354 . The biggest common factor number is the GCF number.
So the greatest common factor 4543,7354 is 1.
Lets's calculate LCM of 272,9911
| 17 | 272, 9911 |
| 16, 583 |
∴ So the LCM of the given numbers is 17 x 16 x 583 = 158576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/158576
Therefore, the GCF of Fractions 4543/272,7354/9911 is 1/158576
Least Common Multiple of 272,9911 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 272,9911 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(272,9911) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(272,9911) x common factors =17 x 1 = 17
LCM(272,9911) = ( 272 × 9911 ) / 17
LCM(272,9911) = 2695792 / 17
LCM(272,9911) = 158576
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FAQs on GCF of Fractions of 4543/272, 7354/9911
1. What is the HCF of 4543,7354?
The HCF of 4543,7354 is 1
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 4543/272, 7354/9911?
Answer: GCF of Numerators as per given numbers 4543/272, 7354/9911 is
GCF of Numerators i.e. for 4543,7354 is 1
LCM of denominators i.e. for 272,9911 is 158576.
Thus, GCF of Fractions is 1/158576.Finally, GCF of Fractions for 4543/272, 7354/9911 is 1/158576.