GCF of 3185/743, 3401/2349
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3185/743, 3401/2349 i.e 1/1745307 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3185/743, 3401/2349.
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 3185/743,3401/2349?
Given fractions are 3185/743,3401/2349
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 3185/743,3401/2349, numerators are 3185,3401
Denominators are 743,2349
The GCF of 3185,3401 is 1 .
LCM of 743,2349 is 1745307.
The greatest common factor of 3185/743,3401/2349 = [GCF of 3185,3401]/[LCM of 743,2349]= 1/1745307
Therefore, the GCF of 3185/743,3401/2349 is 1/1745307.
To find the highest common factor of 3185,3401, we have to find the factors of both numbers and list the highest common factor.
The factors of 3185 are 1, 5, 7, 13, 35, 49, 65, 91, 245, 455, 637, 3185
The factors of 3401 are 1, 19, 179, 3401
The HCF of 3185,3401 is 1.
Lets's calculate GCF of 3185,3401
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3185,3401 By Matching Biggest Common Factor Method
Now, list down the factors of 3185
:1,5,7,13,35,49,65,91,245,455,637,3185
Now, list down the factors of 3401
:1,19,179,3401
Greatest Common Factor
We found the factors 3185,3401 . The biggest common factor number is the GCF number.
So the greatest common factor 3185,3401 is 1.
Lets's calculate LCM of 743,2349
Given numbers has no common factors except 1. So, there LCM is their product i.e 1745307
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1745307
Therefore, the GCF of Fractions 3185/743,3401/2349 is 1/1745307
Least Common Multiple of 743,2349 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 743,2349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,2349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,2349) x common factors =1 x 1 = 1
LCM(743,2349) = ( 743 × 2349 ) / 1
LCM(743,2349) = 1745307 / 1
LCM(743,2349) = 1745307
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FAQs on GCF of Fractions of 3185/743, 3401/2349
1. What is the HCF of 3185,3401?
The HCF of 3185,3401 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 3185/743, 3401/2349?
Answer: GCF of Numerators as per given numbers 3185/743, 3401/2349 is
GCF of Numerators i.e. for 3185,3401 is 1
LCM of denominators i.e. for 743,2349 is 1745307.
Thus, GCF of Fractions is 1/1745307.Finally, GCF of Fractions for 3185/743, 3401/2349 is 1/1745307.