GCF of 3163/164, 4156/9694
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3163/164, 4156/9694 i.e 1/794908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3163/164, 4156/9694.
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 3163/164,4156/9694?
Given fractions are 3163/164,4156/9694
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 3163/164,4156/9694, numerators are 3163,4156
Denominators are 164,9694
The GCF of 3163,4156 is 1 .
LCM of 164,9694 is 794908.
The greatest common factor of 3163/164,4156/9694 = [GCF of 3163,4156]/[LCM of 164,9694]= 1/794908
Therefore, the GCF of 3163/164,4156/9694 is 1/794908.
To find the highest common factor of 3163,4156, we have to find the factors of both numbers and list the highest common factor.
The factors of 3163 are 1, 3163
The factors of 4156 are 1, 2, 4, 1039, 2078, 4156
The HCF of 3163,4156 is 1.
Lets's calculate GCF of 3163,4156
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3163,4156 By Matching Biggest Common Factor Method
Now, list down the factors of 3163
:1,3163
Now, list down the factors of 4156
:1,2,4,1039,2078,4156
Greatest Common Factor
We found the factors 3163,4156 . The biggest common factor number is the GCF number.
So the greatest common factor 3163,4156 is 1.
Lets's calculate LCM of 164,9694
| 2 | 164, 9694 |
| 82, 4847 |
∴ So the LCM of the given numbers is 2 x 82 x 4847 = 794908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/794908
Therefore, the GCF of Fractions 3163/164,4156/9694 is 1/794908
Least Common Multiple of 164,9694 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 164,9694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,9694) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(164,9694) x common factors =2 x 1 = 2
LCM(164,9694) = ( 164 × 9694 ) / 2
LCM(164,9694) = 1589816 / 2
LCM(164,9694) = 794908
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FAQs on GCF of Fractions of 3163/164, 4156/9694
1. What is the HCF of 3163,4156?
The HCF of 3163,4156 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 3163/164, 4156/9694?
Answer: GCF of Numerators as per given numbers 3163/164, 4156/9694 is
GCF of Numerators i.e. for 3163,4156 is 1
LCM of denominators i.e. for 164,9694 is 794908.
Thus, GCF of Fractions is 1/794908.Finally, GCF of Fractions for 3163/164, 4156/9694 is 1/794908.