GCF of 3065/387, 1532/5938
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3065/387, 1532/5938 i.e 1/2298006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3065/387, 1532/5938.
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 3065/387,1532/5938?
Given fractions are 3065/387,1532/5938
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 3065/387,1532/5938, numerators are 3065,1532
Denominators are 387,5938
The GCF of 3065,1532 is 1 .
LCM of 387,5938 is 2298006.
The greatest common factor of 3065/387,1532/5938 = [GCF of 3065,1532]/[LCM of 387,5938]= 1/2298006
Therefore, the GCF of 3065/387,1532/5938 is 1/2298006.
To find the highest common factor of 3065,1532, we have to find the factors of both numbers and list the highest common factor.
The factors of 3065 are 1, 5, 613, 3065
The factors of 1532 are 1, 2, 4, 383, 766, 1532
The HCF of 3065,1532 is 1.
Lets's calculate GCF of 3065,1532
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3065,1532 By Matching Biggest Common Factor Method
Now, list down the factors of 3065
:1,5,613,3065
Now, list down the factors of 1532
:1,2,4,383,766,1532
Greatest Common Factor
We found the factors 3065,1532 . The biggest common factor number is the GCF number.
So the greatest common factor 3065,1532 is 1.
Lets's calculate LCM of 387,5938
Given numbers has no common factors except 1. So, there LCM is their product i.e 2298006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2298006
Therefore, the GCF of Fractions 3065/387,1532/5938 is 1/2298006
Least Common Multiple of 387,5938 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 387,5938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(387,5938) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(387,5938) x common factors =1 x 1 = 1
LCM(387,5938) = ( 387 × 5938 ) / 1
LCM(387,5938) = 2298006 / 1
LCM(387,5938) = 2298006
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FAQs on GCF of Fractions of 3065/387, 1532/5938
1. What is the HCF of 3065,1532?
The HCF of 3065,1532 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 3065/387, 1532/5938?
Answer: GCF of Numerators as per given numbers 3065/387, 1532/5938 is
GCF of Numerators i.e. for 3065,1532 is 1
LCM of denominators i.e. for 387,5938 is 2298006.
Thus, GCF of Fractions is 1/2298006.Finally, GCF of Fractions for 3065/387, 1532/5938 is 1/2298006.