GCF of 1688/347, 3263/6341
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1688/347, 3263/6341 i.e 1/2200327 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1688/347, 3263/6341.
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 1688/347,3263/6341?
Given fractions are 1688/347,3263/6341
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 1688/347,3263/6341, numerators are 1688,3263
Denominators are 347,6341
The GCF of 1688,3263 is 1 .
LCM of 347,6341 is 2200327.
The greatest common factor of 1688/347,3263/6341 = [GCF of 1688,3263]/[LCM of 347,6341]= 1/2200327
Therefore, the GCF of 1688/347,3263/6341 is 1/2200327.
To find the highest common factor of 1688,3263, we have to find the factors of both numbers and list the highest common factor.
The factors of 1688 are 1, 2, 4, 8, 211, 422, 844, 1688
The factors of 3263 are 1, 13, 251, 3263
The HCF of 1688,3263 is 1.
Lets's calculate GCF of 1688,3263
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1688,3263 By Matching Biggest Common Factor Method
Now, list down the factors of 1688
:1,2,4,8,211,422,844,1688
Now, list down the factors of 3263
:1,13,251,3263
Greatest Common Factor
We found the factors 1688,3263 . The biggest common factor number is the GCF number.
So the greatest common factor 1688,3263 is 1.
Lets's calculate LCM of 347,6341
Given numbers has no common factors except 1. So, there LCM is their product i.e 2200327
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2200327
Therefore, the GCF of Fractions 1688/347,3263/6341 is 1/2200327
Least Common Multiple of 347,6341 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 347,6341 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(347,6341) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(347,6341) x common factors =1 x 1 = 1
LCM(347,6341) = ( 347 × 6341 ) / 1
LCM(347,6341) = 2200327 / 1
LCM(347,6341) = 2200327
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FAQs on GCF of Fractions of 1688/347, 3263/6341
1. What is the HCF of 1688,3263?
The HCF of 1688,3263 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 1688/347, 3263/6341?
Answer: GCF of Numerators as per given numbers 1688/347, 3263/6341 is
GCF of Numerators i.e. for 1688,3263 is 1
LCM of denominators i.e. for 347,6341 is 2200327.
Thus, GCF of Fractions is 1/2200327.Finally, GCF of Fractions for 1688/347, 3263/6341 is 1/2200327.