GCF of 4641/499, 1157/4186
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4641/499, 1157/4186 i.e 13/2088814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4641/499, 1157/4186.
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 4641/499,1157/4186?
Given fractions are 4641/499,1157/4186
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 4641/499,1157/4186, numerators are 4641,1157
Denominators are 499,4186
The GCF of 4641,1157 is 13 .
LCM of 499,4186 is 2088814.
The greatest common factor of 4641/499,1157/4186 = [GCF of 4641,1157]/[LCM of 499,4186]= 13/2088814
Therefore, the GCF of 4641/499,1157/4186 is 13/2088814.
To find the highest common factor of 4641,1157, we have to find the factors of both numbers and list the highest common factor.
The factors of 4641 are 1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 273, 357, 663, 1547, 4641
The factors of 1157 are 1, 13, 89, 1157
The HCF of 4641,1157 is 13.
Lets's calculate GCF of 4641,1157
| 13 | 4641, 1157 |
| 357, 89 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 4641,1157 By Matching Biggest Common Factor Method
Now, list down the factors of 4641
:1,3,7,13,17,21,39,51,91,119,221,273,357,663,1547,4641
Now, list down the factors of 1157
:1,13,89,1157
Greatest Common Factor
We found the factors 4641,1157 . The biggest common factor number is the GCF number.
So the greatest common factor 4641,1157 is 13.
Lets's calculate LCM of 499,4186
Given numbers has no common factors except 1. So, there LCM is their product i.e 2088814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2088814
Therefore, the GCF of Fractions 4641/499,1157/4186 is 13/2088814
Least Common Multiple of 499,4186 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 499,4186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(499,4186) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(499,4186) x common factors =1 x 1 = 1
LCM(499,4186) = ( 499 × 4186 ) / 1
LCM(499,4186) = 2088814 / 1
LCM(499,4186) = 2088814
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FAQs on GCF of Fractions of 4641/499, 1157/4186
1. What is the HCF of 4641,1157?
The HCF of 4641,1157 is 13
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 4641/499, 1157/4186?
Answer: GCF of Numerators as per given numbers 4641/499, 1157/4186 is
GCF of Numerators i.e. for 4641,1157 is 13
LCM of denominators i.e. for 499,4186 is 2088814.
Thus, GCF of Fractions is 13/2088814.Finally, GCF of Fractions for 4641/499, 1157/4186 is 13/2088814.