GCF of 6524/614, 8043/7146
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6524/614, 8043/7146 i.e 7/2193822 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6524/614, 8043/7146.
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 6524/614,8043/7146?
Given fractions are 6524/614,8043/7146
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 6524/614,8043/7146, numerators are 6524,8043
Denominators are 614,7146
The GCF of 6524,8043 is 7 .
LCM of 614,7146 is 2193822.
The greatest common factor of 6524/614,8043/7146 = [GCF of 6524,8043]/[LCM of 614,7146]= 7/2193822
Therefore, the GCF of 6524/614,8043/7146 is 7/2193822.
To find the highest common factor of 6524,8043, we have to find the factors of both numbers and list the highest common factor.
The factors of 6524 are 1, 2, 4, 7, 14, 28, 233, 466, 932, 1631, 3262, 6524
The factors of 8043 are 1, 3, 7, 21, 383, 1149, 2681, 8043
The HCF of 6524,8043 is 7.
Lets's calculate GCF of 6524,8043
| 7 | 6524, 8043 |
| 932, 1149 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 6524,8043 By Matching Biggest Common Factor Method
Now, list down the factors of 6524
:1,2,4,7,14,28,233,466,932,1631,3262,6524
Now, list down the factors of 8043
:1,3,7,21,383,1149,2681,8043
Greatest Common Factor
We found the factors 6524,8043 . The biggest common factor number is the GCF number.
So the greatest common factor 6524,8043 is 7.
Lets's calculate LCM of 614,7146
| 2 | 614, 7146 |
| 307, 3573 |
∴ So the LCM of the given numbers is 2 x 307 x 3573 = 2193822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2193822
Therefore, the GCF of Fractions 6524/614,8043/7146 is 7/2193822
Least Common Multiple of 614,7146 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 614,7146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(614,7146) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(614,7146) x common factors =2 x 1 = 2
LCM(614,7146) = ( 614 × 7146 ) / 2
LCM(614,7146) = 4387644 / 2
LCM(614,7146) = 2193822
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FAQs on GCF of Fractions of 6524/614, 8043/7146
1. What is the HCF of 6524,8043?
The HCF of 6524,8043 is 7
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 6524/614, 8043/7146?
Answer: GCF of Numerators as per given numbers 6524/614, 8043/7146 is
GCF of Numerators i.e. for 6524,8043 is 7
LCM of denominators i.e. for 614,7146 is 2193822.
Thus, GCF of Fractions is 7/2193822.Finally, GCF of Fractions for 6524/614, 8043/7146 is 7/2193822.