GCF of 2315/254, 9182/711
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2315/254, 9182/711 i.e 1/180594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2315/254, 9182/711.
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 2315/254,9182/711?
Given fractions are 2315/254,9182/711
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 2315/254,9182/711, numerators are 2315,9182
Denominators are 254,711
The GCF of 2315,9182 is 1 .
LCM of 254,711 is 180594.
The greatest common factor of 2315/254,9182/711 = [GCF of 2315,9182]/[LCM of 254,711]= 1/180594
Therefore, the GCF of 2315/254,9182/711 is 1/180594.
To find the highest common factor of 2315,9182, we have to find the factors of both numbers and list the highest common factor.
The factors of 2315 are 1, 5, 463, 2315
The factors of 9182 are 1, 2, 4591, 9182
The HCF of 2315,9182 is 1.
Lets's calculate GCF of 2315,9182
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2315,9182 By Matching Biggest Common Factor Method
Now, list down the factors of 2315
:1,5,463,2315
Now, list down the factors of 9182
:1,2,4591,9182
Greatest Common Factor
We found the factors 2315,9182 . The biggest common factor number is the GCF number.
So the greatest common factor 2315,9182 is 1.
Lets's calculate LCM of 254,711
Given numbers has no common factors except 1. So, there LCM is their product i.e 180594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/180594
Therefore, the GCF of Fractions 2315/254,9182/711 is 1/180594
Least Common Multiple of 254,711 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 254,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,711) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(254,711) x common factors =1 x 1 = 1
LCM(254,711) = ( 254 × 711 ) / 1
LCM(254,711) = 180594 / 1
LCM(254,711) = 180594
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FAQs on GCF of Fractions of 2315/254, 9182/711
1. What is the HCF of 2315,9182?
The HCF of 2315,9182 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 2315/254, 9182/711?
Answer: GCF of Numerators as per given numbers 2315/254, 9182/711 is
GCF of Numerators i.e. for 2315,9182 is 1
LCM of denominators i.e. for 254,711 is 180594.
Thus, GCF of Fractions is 1/180594.Finally, GCF of Fractions for 2315/254, 9182/711 is 1/180594.