GCF of 4318/365, 2071/4035
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4318/365, 2071/4035 i.e 1/294555 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4318/365, 2071/4035.
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 4318/365,2071/4035?
Given fractions are 4318/365,2071/4035
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 4318/365,2071/4035, numerators are 4318,2071
Denominators are 365,4035
The GCF of 4318,2071 is 1 .
LCM of 365,4035 is 294555.
The greatest common factor of 4318/365,2071/4035 = [GCF of 4318,2071]/[LCM of 365,4035]= 1/294555
Therefore, the GCF of 4318/365,2071/4035 is 1/294555.
To find the highest common factor of 4318,2071, we have to find the factors of both numbers and list the highest common factor.
The factors of 4318 are 1, 2, 17, 34, 127, 254, 2159, 4318
The factors of 2071 are 1, 19, 109, 2071
The HCF of 4318,2071 is 1.
Lets's calculate GCF of 4318,2071
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4318,2071 By Matching Biggest Common Factor Method
Now, list down the factors of 4318
:1,2,17,34,127,254,2159,4318
Now, list down the factors of 2071
:1,19,109,2071
Greatest Common Factor
We found the factors 4318,2071 . The biggest common factor number is the GCF number.
So the greatest common factor 4318,2071 is 1.
Lets's calculate LCM of 365,4035
| 5 | 365, 4035 |
| 73, 807 |
∴ So the LCM of the given numbers is 5 x 73 x 807 = 294555
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/294555
Therefore, the GCF of Fractions 4318/365,2071/4035 is 1/294555
Least Common Multiple of 365,4035 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 365,4035 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,4035) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(365,4035) x common factors =5 x 1 = 5
LCM(365,4035) = ( 365 × 4035 ) / 5
LCM(365,4035) = 1472775 / 5
LCM(365,4035) = 294555
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FAQs on GCF of Fractions of 4318/365, 2071/4035
1. What is the HCF of 4318,2071?
The HCF of 4318,2071 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 4318/365, 2071/4035?
Answer: GCF of Numerators as per given numbers 4318/365, 2071/4035 is
GCF of Numerators i.e. for 4318,2071 is 1
LCM of denominators i.e. for 365,4035 is 294555.
Thus, GCF of Fractions is 1/294555.Finally, GCF of Fractions for 4318/365, 2071/4035 is 1/294555.