GCF of 162/958, 5447/299
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 162/958, 5447/299 i.e 1/286442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 162/958, 5447/299.
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 162/958,5447/299?
Given fractions are 162/958,5447/299
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 162/958,5447/299, numerators are 162,5447
Denominators are 958,299
The GCF of 162,5447 is 1 .
LCM of 958,299 is 286442.
The greatest common factor of 162/958,5447/299 = [GCF of 162,5447]/[LCM of 958,299]= 1/286442
Therefore, the GCF of 162/958,5447/299 is 1/286442.
To find the highest common factor of 162,5447, we have to find the factors of both numbers and list the highest common factor.
The factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
The factors of 5447 are 1, 13, 419, 5447
The HCF of 162,5447 is 1.
Lets's calculate GCF of 162,5447
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 162,5447 By Matching Biggest Common Factor Method
Now, list down the factors of 162
:1,2,3,6,9,18,27,54,81,162
Now, list down the factors of 5447
:1,13,419,5447
Greatest Common Factor
We found the factors 162,5447 . The biggest common factor number is the GCF number.
So the greatest common factor 162,5447 is 1.
Lets's calculate LCM of 958,299
Given numbers has no common factors except 1. So, there LCM is their product i.e 286442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/286442
Therefore, the GCF of Fractions 162/958,5447/299 is 1/286442
Least Common Multiple of 958,299 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 958,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(958,299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(958,299) x common factors =1 x 1 = 1
LCM(958,299) = ( 958 × 299 ) / 1
LCM(958,299) = 286442 / 1
LCM(958,299) = 286442
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FAQs on GCF of Fractions of 162/958, 5447/299
1. What is the HCF of 162,5447?
The HCF of 162,5447 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 162/958, 5447/299?
Answer: GCF of Numerators as per given numbers 162/958, 5447/299 is
GCF of Numerators i.e. for 162,5447 is 1
LCM of denominators i.e. for 958,299 is 286442.
Thus, GCF of Fractions is 1/286442.Finally, GCF of Fractions for 162/958, 5447/299 is 1/286442.