GCF of 5954/119, 4191/206
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5954/119, 4191/206 i.e 1/24514 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5954/119, 4191/206.
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 5954/119,4191/206?
Given fractions are 5954/119,4191/206
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 5954/119,4191/206, numerators are 5954,4191
Denominators are 119,206
The GCF of 5954,4191 is 1 .
LCM of 119,206 is 24514.
The greatest common factor of 5954/119,4191/206 = [GCF of 5954,4191]/[LCM of 119,206]= 1/24514
Therefore, the GCF of 5954/119,4191/206 is 1/24514.
To find the highest common factor of 5954,4191, we have to find the factors of both numbers and list the highest common factor.
The factors of 5954 are 1, 2, 13, 26, 229, 458, 2977, 5954
The factors of 4191 are 1, 3, 11, 33, 127, 381, 1397, 4191
The HCF of 5954,4191 is 1.
Lets's calculate GCF of 5954,4191
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5954,4191 By Matching Biggest Common Factor Method
Now, list down the factors of 5954
:1,2,13,26,229,458,2977,5954
Now, list down the factors of 4191
:1,3,11,33,127,381,1397,4191
Greatest Common Factor
We found the factors 5954,4191 . The biggest common factor number is the GCF number.
So the greatest common factor 5954,4191 is 1.
Lets's calculate LCM of 119,206
Given numbers has no common factors except 1. So, there LCM is their product i.e 24514
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24514
Therefore, the GCF of Fractions 5954/119,4191/206 is 1/24514
Least Common Multiple of 119,206 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 119,206 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,206) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(119,206) x common factors =1 x 1 = 1
LCM(119,206) = ( 119 × 206 ) / 1
LCM(119,206) = 24514 / 1
LCM(119,206) = 24514
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FAQs on GCF of Fractions of 5954/119, 4191/206
1. What is the HCF of 5954,4191?
The HCF of 5954,4191 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 5954/119, 4191/206?
Answer: GCF of Numerators as per given numbers 5954/119, 4191/206 is
GCF of Numerators i.e. for 5954,4191 is 1
LCM of denominators i.e. for 119,206 is 24514.
Thus, GCF of Fractions is 1/24514.Finally, GCF of Fractions for 5954/119, 4191/206 is 1/24514.