GCF of 6613/154, 1441/9638
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6613/154, 1441/9638 i.e 1/742126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6613/154, 1441/9638.
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 6613/154,1441/9638?
Given fractions are 6613/154,1441/9638
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 6613/154,1441/9638, numerators are 6613,1441
Denominators are 154,9638
The GCF of 6613,1441 is 1 .
LCM of 154,9638 is 742126.
The greatest common factor of 6613/154,1441/9638 = [GCF of 6613,1441]/[LCM of 154,9638]= 1/742126
Therefore, the GCF of 6613/154,1441/9638 is 1/742126.
To find the highest common factor of 6613,1441, we have to find the factors of both numbers and list the highest common factor.
The factors of 6613 are 1, 17, 389, 6613
The factors of 1441 are 1, 11, 131, 1441
The HCF of 6613,1441 is 1.
Lets's calculate GCF of 6613,1441
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6613,1441 By Matching Biggest Common Factor Method
Now, list down the factors of 6613
:1,17,389,6613
Now, list down the factors of 1441
:1,11,131,1441
Greatest Common Factor
We found the factors 6613,1441 . The biggest common factor number is the GCF number.
So the greatest common factor 6613,1441 is 1.
Lets's calculate LCM of 154,9638
| 2 | 154, 9638 |
| 77, 4819 |
∴ So the LCM of the given numbers is 2 x 77 x 4819 = 742126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/742126
Therefore, the GCF of Fractions 6613/154,1441/9638 is 1/742126
Least Common Multiple of 154,9638 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 154,9638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(154,9638) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(154,9638) x common factors =2 x 1 = 2
LCM(154,9638) = ( 154 × 9638 ) / 2
LCM(154,9638) = 1484252 / 2
LCM(154,9638) = 742126
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FAQs on GCF of Fractions of 6613/154, 1441/9638
1. What is the HCF of 6613,1441?
The HCF of 6613,1441 is 1
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 6613/154, 1441/9638?
Answer: GCF of Numerators as per given numbers 6613/154, 1441/9638 is
GCF of Numerators i.e. for 6613,1441 is 1
LCM of denominators i.e. for 154,9638 is 742126.
Thus, GCF of Fractions is 1/742126.Finally, GCF of Fractions for 6613/154, 1441/9638 is 1/742126.