GCF of 3704/115, 5475/217
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3704/115, 5475/217 i.e 1/24955 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3704/115, 5475/217.
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 3704/115,5475/217?
Given fractions are 3704/115,5475/217
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 3704/115,5475/217, numerators are 3704,5475
Denominators are 115,217
The GCF of 3704,5475 is 1 .
LCM of 115,217 is 24955.
The greatest common factor of 3704/115,5475/217 = [GCF of 3704,5475]/[LCM of 115,217]= 1/24955
Therefore, the GCF of 3704/115,5475/217 is 1/24955.
To find the highest common factor of 3704,5475, we have to find the factors of both numbers and list the highest common factor.
The factors of 3704 are 1, 2, 4, 8, 463, 926, 1852, 3704
The factors of 5475 are 1, 3, 5, 15, 25, 73, 75, 219, 365, 1095, 1825, 5475
The HCF of 3704,5475 is 1.
Lets's calculate GCF of 3704,5475
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3704,5475 By Matching Biggest Common Factor Method
Now, list down the factors of 3704
:1,2,4,8,463,926,1852,3704
Now, list down the factors of 5475
:1,3,5,15,25,73,75,219,365,1095,1825,5475
Greatest Common Factor
We found the factors 3704,5475 . The biggest common factor number is the GCF number.
So the greatest common factor 3704,5475 is 1.
Lets's calculate LCM of 115,217
Given numbers has no common factors except 1. So, there LCM is their product i.e 24955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24955
Therefore, the GCF of Fractions 3704/115,5475/217 is 1/24955
Least Common Multiple of 115,217 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 115,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,217) x common factors =1 x 1 = 1
LCM(115,217) = ( 115 × 217 ) / 1
LCM(115,217) = 24955 / 1
LCM(115,217) = 24955
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FAQs on GCF of Fractions of 3704/115, 5475/217
1. What is the HCF of 3704,5475?
The HCF of 3704,5475 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 3704/115, 5475/217?
Answer: GCF of Numerators as per given numbers 3704/115, 5475/217 is
GCF of Numerators i.e. for 3704,5475 is 1
LCM of denominators i.e. for 115,217 is 24955.
Thus, GCF of Fractions is 1/24955.Finally, GCF of Fractions for 3704/115, 5475/217 is 1/24955.