GCF of 3613/318, 7735/6174
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3613/318, 7735/6174 i.e 1/327222 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3613/318, 7735/6174.
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 3613/318,7735/6174?
Given fractions are 3613/318,7735/6174
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 3613/318,7735/6174, numerators are 3613,7735
Denominators are 318,6174
The GCF of 3613,7735 is 1 .
LCM of 318,6174 is 327222.
The greatest common factor of 3613/318,7735/6174 = [GCF of 3613,7735]/[LCM of 318,6174]= 1/327222
Therefore, the GCF of 3613/318,7735/6174 is 1/327222.
To find the highest common factor of 3613,7735, we have to find the factors of both numbers and list the highest common factor.
The factors of 3613 are 1, 3613
The factors of 7735 are 1, 5, 7, 13, 17, 35, 65, 85, 91, 119, 221, 455, 595, 1105, 1547, 7735
The HCF of 3613,7735 is 1.
Lets's calculate GCF of 3613,7735
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3613,7735 By Matching Biggest Common Factor Method
Now, list down the factors of 3613
:1,3613
Now, list down the factors of 7735
:1,5,7,13,17,35,65,85,91,119,221,455,595,1105,1547,7735
Greatest Common Factor
We found the factors 3613,7735 . The biggest common factor number is the GCF number.
So the greatest common factor 3613,7735 is 1.
Lets's calculate LCM of 318,6174
| 2 | 318, 6174 |
| 3 | 159, 3087 |
| 53, 1029 |
∴ So the LCM of the given numbers is 2 x 3 x 53 x 1029 = 327222
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/327222
Therefore, the GCF of Fractions 3613/318,7735/6174 is 1/327222
Least Common Multiple of 318,6174 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 318,6174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,6174) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(318,6174) x common factors =6 x 1 = 6
LCM(318,6174) = ( 318 × 6174 ) / 6
LCM(318,6174) = 1963332 / 6
LCM(318,6174) = 327222
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FAQs on GCF of Fractions of 3613/318, 7735/6174
1. What is the HCF of 3613,7735?
The HCF of 3613,7735 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 3613/318, 7735/6174?
Answer: GCF of Numerators as per given numbers 3613/318, 7735/6174 is
GCF of Numerators i.e. for 3613,7735 is 1
LCM of denominators i.e. for 318,6174 is 327222.
Thus, GCF of Fractions is 1/327222.Finally, GCF of Fractions for 3613/318, 7735/6174 is 1/327222.