GCF of 6741/138, 7578/3521
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6741/138, 7578/3521 i.e 9/485898 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6741/138, 7578/3521.
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 6741/138,7578/3521?
Given fractions are 6741/138,7578/3521
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 6741/138,7578/3521, numerators are 6741,7578
Denominators are 138,3521
The GCF of 6741,7578 is 9 .
LCM of 138,3521 is 485898.
The greatest common factor of 6741/138,7578/3521 = [GCF of 6741,7578]/[LCM of 138,3521]= 9/485898
Therefore, the GCF of 6741/138,7578/3521 is 9/485898.
To find the highest common factor of 6741,7578, we have to find the factors of both numbers and list the highest common factor.
The factors of 6741 are 1, 3, 7, 9, 21, 63, 107, 321, 749, 963, 2247, 6741
The factors of 7578 are 1, 2, 3, 6, 9, 18, 421, 842, 1263, 2526, 3789, 7578
The HCF of 6741,7578 is 9.
Lets's calculate GCF of 6741,7578
| 3 | 6741, 7578 |
| 3 | 2247, 2526 |
| 749, 842 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 6741,7578 By Matching Biggest Common Factor Method
Now, list down the factors of 6741
:1,3,7,9,21,63,107,321,749,963,2247,6741
Now, list down the factors of 7578
:1,2,3,6,9,18,421,842,1263,2526,3789,7578
Greatest Common Factor
We found the factors 6741,7578 . The biggest common factor number is the GCF number.
So the greatest common factor 6741,7578 is 9.
Lets's calculate LCM of 138,3521
Given numbers has no common factors except 1. So, there LCM is their product i.e 485898
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/485898
Therefore, the GCF of Fractions 6741/138,7578/3521 is 9/485898
Least Common Multiple of 138,3521 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 138,3521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,3521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(138,3521) x common factors =1 x 1 = 1
LCM(138,3521) = ( 138 × 3521 ) / 1
LCM(138,3521) = 485898 / 1
LCM(138,3521) = 485898
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FAQs on GCF of Fractions of 6741/138, 7578/3521
1. What is the HCF of 6741,7578?
The HCF of 6741,7578 is 9
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 6741/138, 7578/3521?
Answer: GCF of Numerators as per given numbers 6741/138, 7578/3521 is
GCF of Numerators i.e. for 6741,7578 is 9
LCM of denominators i.e. for 138,3521 is 485898.
Thus, GCF of Fractions is 9/485898.Finally, GCF of Fractions for 6741/138, 7578/3521 is 9/485898.