GCF of 6065/312, 4414/4165
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6065/312, 4414/4165 i.e 1/1299480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6065/312, 4414/4165.
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 6065/312,4414/4165?
Given fractions are 6065/312,4414/4165
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 6065/312,4414/4165, numerators are 6065,4414
Denominators are 312,4165
The GCF of 6065,4414 is 1 .
LCM of 312,4165 is 1299480.
The greatest common factor of 6065/312,4414/4165 = [GCF of 6065,4414]/[LCM of 312,4165]= 1/1299480
Therefore, the GCF of 6065/312,4414/4165 is 1/1299480.
To find the highest common factor of 6065,4414, we have to find the factors of both numbers and list the highest common factor.
The factors of 6065 are 1, 5, 1213, 6065
The factors of 4414 are 1, 2, 2207, 4414
The HCF of 6065,4414 is 1.
Lets's calculate GCF of 6065,4414
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6065,4414 By Matching Biggest Common Factor Method
Now, list down the factors of 6065
:1,5,1213,6065
Now, list down the factors of 4414
:1,2,2207,4414
Greatest Common Factor
We found the factors 6065,4414 . The biggest common factor number is the GCF number.
So the greatest common factor 6065,4414 is 1.
Lets's calculate LCM of 312,4165
Given numbers has no common factors except 1. So, there LCM is their product i.e 1299480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1299480
Therefore, the GCF of Fractions 6065/312,4414/4165 is 1/1299480
Least Common Multiple of 312,4165 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 312,4165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,4165) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(312,4165) x common factors =1 x 1 = 1
LCM(312,4165) = ( 312 × 4165 ) / 1
LCM(312,4165) = 1299480 / 1
LCM(312,4165) = 1299480
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FAQs on GCF of Fractions of 6065/312, 4414/4165
1. What is the HCF of 6065,4414?
The HCF of 6065,4414 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 6065/312, 4414/4165?
Answer: GCF of Numerators as per given numbers 6065/312, 4414/4165 is
GCF of Numerators i.e. for 6065,4414 is 1
LCM of denominators i.e. for 312,4165 is 1299480.
Thus, GCF of Fractions is 1/1299480.Finally, GCF of Fractions for 6065/312, 4414/4165 is 1/1299480.