GCF of 14/313, 91/641, 858/292
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 14/313, 91/641, 858/292 i.e 1/58584836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/313, 91/641, 858/292.
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 14/313,91/641,858/292?
Given fractions are 14/313,91/641,858/292
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 14/313,91/641,858/292, numerators are 14,91,858
Denominators are 313,641,292
The GCF of 14,91,858 is 1 .
LCM of 313,641,292 is 58584836.
The greatest common factor of 14/313,91/641,858/292 = [GCF of 14,91,858]/[LCM of 313,641,292]= 1/58584836
Therefore, the GCF of 14/313,91/641,858/292 is 1/58584836.
To find the highest common factor of 14,91,858, we have to find the factors of both numbers and list the highest common factor.
The factors of 14 are 1, 2, 7, 14
The factors of 91 are 1, 7, 13, 91
The factors of 858 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
The HCF of 14,91,858 is 1.
Lets's calculate GCF of 14,91,858
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 14,91,858 By Matching Biggest Common Factor Method
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 91
:1,7,13,91
Now, list down the factors of 858
:1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Greatest Common Factor
We found the factors 14,91,858 . The biggest common factor number is the GCF number.
So the greatest common factor 14,91,858 is 1.
Lets's calculate LCM of 313,641,292
Given numbers has no common factors except 1. So, there LCM is their product i.e 58584836
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58584836
Therefore, the GCF of Fractions 14/313,91/641,858/292 is 1/58584836
Least Common Multiple of 313,641,292 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 313,641,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,641,292) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,641,292) x common factors =1 x 1 = 1
LCM(313,641,292) = ( 313 × 641 × 292 ) / 1
LCM(313,641,292) = 58584836 / 1
LCM(313,641,292) = 58584836
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FAQs on GCF of Fractions of 14/313, 91/641, 858/292
1. What is the HCF of 14,91,858?
The HCF of 14,91,858 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 14/313, 91/641, 858/292?
Answer: GCF of Numerators as per given numbers 14/313, 91/641, 858/292 is
GCF of Numerators i.e. for 14,91,858 is 1
LCM of denominators i.e. for 313,641,292 is 58584836.
Thus, GCF of Fractions is 1/58584836.Finally, GCF of Fractions for 14/313, 91/641, 858/292 is 1/58584836.