GCF of 385/58, 612/515
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 385/58, 612/515 i.e 1/29870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 385/58, 612/515.
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 385/58,612/515?
Given fractions are 385/58,612/515
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 385/58,612/515, numerators are 385,612
Denominators are 58,515
The GCF of 385,612 is 1 .
LCM of 58,515 is 29870.
The greatest common factor of 385/58,612/515 = [GCF of 385,612]/[LCM of 58,515]= 1/29870
Therefore, the GCF of 385/58,612/515 is 1/29870.
To find the highest common factor of 385,612, we have to find the factors of both numbers and list the highest common factor.
The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385
The factors of 612 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
The HCF of 385,612 is 1.
Lets's calculate GCF of 385,612
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 385,612 By Matching Biggest Common Factor Method
Now, list down the factors of 385
:1,5,7,11,35,55,77,385
Now, list down the factors of 612
:1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Greatest Common Factor
We found the factors 385,612 . The biggest common factor number is the GCF number.
So the greatest common factor 385,612 is 1.
Lets's calculate LCM of 58,515
Given numbers has no common factors except 1. So, there LCM is their product i.e 29870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29870
Therefore, the GCF of Fractions 385/58,612/515 is 1/29870
Least Common Multiple of 58,515 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 58,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,515) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(58,515) x common factors =1 x 1 = 1
LCM(58,515) = ( 58 × 515 ) / 1
LCM(58,515) = 29870 / 1
LCM(58,515) = 29870
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FAQs on GCF of Fractions of 385/58, 612/515
1. What is the HCF of 385,612?
The HCF of 385,612 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 385/58, 612/515?
Answer: GCF of Numerators as per given numbers 385/58, 612/515 is
GCF of Numerators i.e. for 385,612 is 1
LCM of denominators i.e. for 58,515 is 29870.
Thus, GCF of Fractions is 1/29870.Finally, GCF of Fractions for 385/58, 612/515 is 1/29870.