GCF of 4163/931, 5068/706
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4163/931, 5068/706 i.e 181/657286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4163/931, 5068/706.
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 4163/931,5068/706?
Given fractions are 4163/931,5068/706
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 4163/931,5068/706, numerators are 4163,5068
Denominators are 931,706
The GCF of 4163,5068 is 181 .
LCM of 931,706 is 657286.
The greatest common factor of 4163/931,5068/706 = [GCF of 4163,5068]/[LCM of 931,706]= 181/657286
Therefore, the GCF of 4163/931,5068/706 is 181/657286.
To find the highest common factor of 4163,5068, we have to find the factors of both numbers and list the highest common factor.
The factors of 4163 are 1, 23, 181, 4163
The factors of 5068 are 1, 2, 4, 7, 14, 28, 181, 362, 724, 1267, 2534, 5068
The HCF of 4163,5068 is 181.
Lets's calculate GCF of 4163,5068
| 181 | 4163, 5068 |
| 23, 28 |
∴ So the GCF of the given numbers is 181 = 181
Greatest Common Factor of 4163,5068 By Matching Biggest Common Factor Method
Now, list down the factors of 4163
:1,23,181,4163
Now, list down the factors of 5068
:1,2,4,7,14,28,181,362,724,1267,2534,5068
Greatest Common Factor
We found the factors 4163,5068 . The biggest common factor number is the GCF number.
So the greatest common factor 4163,5068 is 181.
Lets's calculate LCM of 931,706
Given numbers has no common factors except 1. So, there LCM is their product i.e 657286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 181/657286
Therefore, the GCF of Fractions 4163/931,5068/706 is 181/657286
Least Common Multiple of 931,706 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 931,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(931,706) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(931,706) x common factors =1 x 1 = 1
LCM(931,706) = ( 931 × 706 ) / 1
LCM(931,706) = 657286 / 1
LCM(931,706) = 657286
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FAQs on GCF of Fractions of 4163/931, 5068/706
1. What is the HCF of 4163,5068?
The HCF of 4163,5068 is 181
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 4163/931, 5068/706?
Answer: GCF of Numerators as per given numbers 4163/931, 5068/706 is
GCF of Numerators i.e. for 4163,5068 is 181
LCM of denominators i.e. for 931,706 is 657286.
Thus, GCF of Fractions is 181/657286.Finally, GCF of Fractions for 4163/931, 5068/706 is 181/657286.