GCF of 4159/711, 1691/117
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4159/711, 1691/117 i.e 1/9243 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4159/711, 1691/117.
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 4159/711,1691/117?
Given fractions are 4159/711,1691/117
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 4159/711,1691/117, numerators are 4159,1691
Denominators are 711,117
The GCF of 4159,1691 is 1 .
LCM of 711,117 is 9243.
The greatest common factor of 4159/711,1691/117 = [GCF of 4159,1691]/[LCM of 711,117]= 1/9243
Therefore, the GCF of 4159/711,1691/117 is 1/9243.
To find the highest common factor of 4159,1691, we have to find the factors of both numbers and list the highest common factor.
The factors of 4159 are 1, 4159
The factors of 1691 are 1, 19, 89, 1691
The HCF of 4159,1691 is 1.
Lets's calculate GCF of 4159,1691
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4159,1691 By Matching Biggest Common Factor Method
Now, list down the factors of 4159
:1,4159
Now, list down the factors of 1691
:1,19,89,1691
Greatest Common Factor
We found the factors 4159,1691 . The biggest common factor number is the GCF number.
So the greatest common factor 4159,1691 is 1.
Lets's calculate LCM of 711,117
| 3 | 711, 117 |
| 3 | 237, 39 |
| 79, 13 |
∴ So the LCM of the given numbers is 3 x 3 x 79 x 13 = 9243
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9243
Therefore, the GCF of Fractions 4159/711,1691/117 is 1/9243
Least Common Multiple of 711,117 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 711,117 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,117) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(711,117) x common factors =9 x 1 = 9
LCM(711,117) = ( 711 × 117 ) / 9
LCM(711,117) = 83187 / 9
LCM(711,117) = 9243
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FAQs on GCF of Fractions of 4159/711, 1691/117
1. What is the HCF of 4159,1691?
The HCF of 4159,1691 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 4159/711, 1691/117?
Answer: GCF of Numerators as per given numbers 4159/711, 1691/117 is
GCF of Numerators i.e. for 4159,1691 is 1
LCM of denominators i.e. for 711,117 is 9243.
Thus, GCF of Fractions is 1/9243.Finally, GCF of Fractions for 4159/711, 1691/117 is 1/9243.