GCF of 7509/536, 8679/1642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7509/536, 8679/1642 i.e 3/440056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7509/536, 8679/1642.
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 7509/536,8679/1642?
Given fractions are 7509/536,8679/1642
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 7509/536,8679/1642, numerators are 7509,8679
Denominators are 536,1642
The GCF of 7509,8679 is 3 .
LCM of 536,1642 is 440056.
The greatest common factor of 7509/536,8679/1642 = [GCF of 7509,8679]/[LCM of 536,1642]= 3/440056
Therefore, the GCF of 7509/536,8679/1642 is 3/440056.
To find the highest common factor of 7509,8679, we have to find the factors of both numbers and list the highest common factor.
The factors of 7509 are 1, 3, 2503, 7509
The factors of 8679 are 1, 3, 11, 33, 263, 789, 2893, 8679
The HCF of 7509,8679 is 3.
Lets's calculate GCF of 7509,8679
| 3 | 7509, 8679 |
| 2503, 2893 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7509,8679 By Matching Biggest Common Factor Method
Now, list down the factors of 7509
:1,3,2503,7509
Now, list down the factors of 8679
:1,3,11,33,263,789,2893,8679
Greatest Common Factor
We found the factors 7509,8679 . The biggest common factor number is the GCF number.
So the greatest common factor 7509,8679 is 3.
Lets's calculate LCM of 536,1642
| 2 | 536, 1642 |
| 268, 821 |
∴ So the LCM of the given numbers is 2 x 268 x 821 = 440056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/440056
Therefore, the GCF of Fractions 7509/536,8679/1642 is 3/440056
Least Common Multiple of 536,1642 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 536,1642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,1642) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(536,1642) x common factors =2 x 1 = 2
LCM(536,1642) = ( 536 × 1642 ) / 2
LCM(536,1642) = 880112 / 2
LCM(536,1642) = 440056
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FAQs on GCF of Fractions of 7509/536, 8679/1642
1. What is the HCF of 7509,8679?
The HCF of 7509,8679 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 7509/536, 8679/1642?
Answer: GCF of Numerators as per given numbers 7509/536, 8679/1642 is
GCF of Numerators i.e. for 7509,8679 is 3
LCM of denominators i.e. for 536,1642 is 440056.
Thus, GCF of Fractions is 3/440056.Finally, GCF of Fractions for 7509/536, 8679/1642 is 3/440056.