GCF of 8523/135, 2739/2416
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8523/135, 2739/2416 i.e 3/326160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8523/135, 2739/2416.
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 8523/135,2739/2416?
Given fractions are 8523/135,2739/2416
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 8523/135,2739/2416, numerators are 8523,2739
Denominators are 135,2416
The GCF of 8523,2739 is 3 .
LCM of 135,2416 is 326160.
The greatest common factor of 8523/135,2739/2416 = [GCF of 8523,2739]/[LCM of 135,2416]= 3/326160
Therefore, the GCF of 8523/135,2739/2416 is 3/326160.
To find the highest common factor of 8523,2739, we have to find the factors of both numbers and list the highest common factor.
The factors of 8523 are 1, 3, 9, 947, 2841, 8523
The factors of 2739 are 1, 3, 11, 33, 83, 249, 913, 2739
The HCF of 8523,2739 is 3.
Lets's calculate GCF of 8523,2739
| 3 | 8523, 2739 |
| 2841, 913 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8523,2739 By Matching Biggest Common Factor Method
Now, list down the factors of 8523
:1,3,9,947,2841,8523
Now, list down the factors of 2739
:1,3,11,33,83,249,913,2739
Greatest Common Factor
We found the factors 8523,2739 . The biggest common factor number is the GCF number.
So the greatest common factor 8523,2739 is 3.
Lets's calculate LCM of 135,2416
Given numbers has no common factors except 1. So, there LCM is their product i.e 326160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/326160
Therefore, the GCF of Fractions 8523/135,2739/2416 is 3/326160
Least Common Multiple of 135,2416 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 135,2416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,2416) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(135,2416) x common factors =1 x 1 = 1
LCM(135,2416) = ( 135 × 2416 ) / 1
LCM(135,2416) = 326160 / 1
LCM(135,2416) = 326160
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FAQs on GCF of Fractions of 8523/135, 2739/2416
1. What is the HCF of 8523,2739?
The HCF of 8523,2739 is 3
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 8523/135, 2739/2416?
Answer: GCF of Numerators as per given numbers 8523/135, 2739/2416 is
GCF of Numerators i.e. for 8523,2739 is 3
LCM of denominators i.e. for 135,2416 is 326160.
Thus, GCF of Fractions is 3/326160.Finally, GCF of Fractions for 8523/135, 2739/2416 is 3/326160.