GCF of 4961/393, 8213/6711
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4961/393, 8213/6711 i.e 1/879141 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4961/393, 8213/6711.
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 4961/393,8213/6711?
Given fractions are 4961/393,8213/6711
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 4961/393,8213/6711, numerators are 4961,8213
Denominators are 393,6711
The GCF of 4961,8213 is 1 .
LCM of 393,6711 is 879141.
The greatest common factor of 4961/393,8213/6711 = [GCF of 4961,8213]/[LCM of 393,6711]= 1/879141
Therefore, the GCF of 4961/393,8213/6711 is 1/879141.
To find the highest common factor of 4961,8213, we have to find the factors of both numbers and list the highest common factor.
The factors of 4961 are 1, 11, 41, 121, 451, 4961
The factors of 8213 are 1, 43, 191, 8213
The HCF of 4961,8213 is 1.
Lets's calculate GCF of 4961,8213
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4961,8213 By Matching Biggest Common Factor Method
Now, list down the factors of 4961
:1,11,41,121,451,4961
Now, list down the factors of 8213
:1,43,191,8213
Greatest Common Factor
We found the factors 4961,8213 . The biggest common factor number is the GCF number.
So the greatest common factor 4961,8213 is 1.
Lets's calculate LCM of 393,6711
| 3 | 393, 6711 |
| 131, 2237 |
∴ So the LCM of the given numbers is 3 x 131 x 2237 = 879141
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/879141
Therefore, the GCF of Fractions 4961/393,8213/6711 is 1/879141
Least Common Multiple of 393,6711 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 393,6711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(393,6711) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(393,6711) x common factors =3 x 1 = 3
LCM(393,6711) = ( 393 × 6711 ) / 3
LCM(393,6711) = 2637423 / 3
LCM(393,6711) = 879141
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FAQs on GCF of Fractions of 4961/393, 8213/6711
1. What is the HCF of 4961,8213?
The HCF of 4961,8213 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 4961/393, 8213/6711?
Answer: GCF of Numerators as per given numbers 4961/393, 8213/6711 is
GCF of Numerators i.e. for 4961,8213 is 1
LCM of denominators i.e. for 393,6711 is 879141.
Thus, GCF of Fractions is 1/879141.Finally, GCF of Fractions for 4961/393, 8213/6711 is 1/879141.