GCF of 612/67, 865/259
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 612/67, 865/259 i.e 1/17353 easily. The following is the detailed procedure to determine the greatest common factor of fractions 612/67, 865/259.
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 612/67,865/259?
Given fractions are 612/67,865/259
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 612/67,865/259, numerators are 612,865
Denominators are 67,259
The GCF of 612,865 is 1 .
LCM of 67,259 is 17353.
The greatest common factor of 612/67,865/259 = [GCF of 612,865]/[LCM of 67,259]= 1/17353
Therefore, the GCF of 612/67,865/259 is 1/17353.
To find the highest common factor of 612,865, we have to find the factors of both numbers and list the highest common factor.
The factors of 612 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
The factors of 865 are 1, 5, 173, 865
The HCF of 612,865 is 1.
Lets's calculate GCF of 612,865
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 612,865 By Matching Biggest Common Factor Method
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
Now, list down the factors of 865
:1,5,173,865
Greatest Common Factor
We found the factors 612,865 . The biggest common factor number is the GCF number.
So the greatest common factor 612,865 is 1.
Lets's calculate LCM of 67,259
Given numbers has no common factors except 1. So, there LCM is their product i.e 17353
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17353
Therefore, the GCF of Fractions 612/67,865/259 is 1/17353
Least Common Multiple of 67,259 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 67,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,259) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,259) x common factors =1 x 1 = 1
LCM(67,259) = ( 67 × 259 ) / 1
LCM(67,259) = 17353 / 1
LCM(67,259) = 17353
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FAQs on GCF of Fractions of 612/67, 865/259
1. What is the HCF of 612,865?
The HCF of 612,865 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 612/67, 865/259?
Answer: GCF of Numerators as per given numbers 612/67, 865/259 is
GCF of Numerators i.e. for 612,865 is 1
LCM of denominators i.e. for 67,259 is 17353.
Thus, GCF of Fractions is 1/17353.Finally, GCF of Fractions for 612/67, 865/259 is 1/17353.