GCF of 7587/273, 4617/7875
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7587/273, 4617/7875 i.e 27/102375 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7587/273, 4617/7875.
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 7587/273,4617/7875?
Given fractions are 7587/273,4617/7875
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 7587/273,4617/7875, numerators are 7587,4617
Denominators are 273,7875
The GCF of 7587,4617 is 27 .
LCM of 273,7875 is 102375.
The greatest common factor of 7587/273,4617/7875 = [GCF of 7587,4617]/[LCM of 273,7875]= 27/102375
Therefore, the GCF of 7587/273,4617/7875 is 27/102375.
To find the highest common factor of 7587,4617, we have to find the factors of both numbers and list the highest common factor.
The factors of 7587 are 1, 3, 9, 27, 281, 843, 2529, 7587
The factors of 4617 are 1, 3, 9, 19, 27, 57, 81, 171, 243, 513, 1539, 4617
The HCF of 7587,4617 is 27.
Lets's calculate GCF of 7587,4617
| 3 | 7587, 4617 |
| 3 | 2529, 1539 |
| 3 | 843, 513 |
| 281, 171 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 7587,4617 By Matching Biggest Common Factor Method
Now, list down the factors of 7587
:1,3,9,27,281,843,2529,7587
Now, list down the factors of 4617
:1,3,9,19,27,57,81,171,243,513,1539,4617
Greatest Common Factor
We found the factors 7587,4617 . The biggest common factor number is the GCF number.
So the greatest common factor 7587,4617 is 27.
Lets's calculate LCM of 273,7875
| 3 | 273, 7875 |
| 7 | 91, 2625 |
| 13, 375 |
∴ So the LCM of the given numbers is 3 x 7 x 13 x 375 = 102375
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/102375
Therefore, the GCF of Fractions 7587/273,4617/7875 is 27/102375
Least Common Multiple of 273,7875 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 273,7875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(273,7875) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(273,7875) x common factors =21 x 1 = 21
LCM(273,7875) = ( 273 × 7875 ) / 21
LCM(273,7875) = 2149875 / 21
LCM(273,7875) = 102375
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FAQs on GCF of Fractions of 7587/273, 4617/7875
1. What is the HCF of 7587,4617?
The HCF of 7587,4617 is 27
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 7587/273, 4617/7875?
Answer: GCF of Numerators as per given numbers 7587/273, 4617/7875 is
GCF of Numerators i.e. for 7587,4617 is 27
LCM of denominators i.e. for 273,7875 is 102375.
Thus, GCF of Fractions is 27/102375.Finally, GCF of Fractions for 7587/273, 4617/7875 is 27/102375.