GCF of 2132/337, 1733/8217
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2132/337, 1733/8217 i.e 1/2769129 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2132/337, 1733/8217.
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 2132/337,1733/8217?
Given fractions are 2132/337,1733/8217
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 2132/337,1733/8217, numerators are 2132,1733
Denominators are 337,8217
The GCF of 2132,1733 is 1 .
LCM of 337,8217 is 2769129.
The greatest common factor of 2132/337,1733/8217 = [GCF of 2132,1733]/[LCM of 337,8217]= 1/2769129
Therefore, the GCF of 2132/337,1733/8217 is 1/2769129.
To find the highest common factor of 2132,1733, we have to find the factors of both numbers and list the highest common factor.
The factors of 2132 are 1, 2, 4, 13, 26, 41, 52, 82, 164, 533, 1066, 2132
The factors of 1733 are 1, 1733
The HCF of 2132,1733 is 1.
Lets's calculate GCF of 2132,1733
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2132,1733 By Matching Biggest Common Factor Method
Now, list down the factors of 2132
:1,2,4,13,26,41,52,82,164,533,1066,2132
Now, list down the factors of 1733
:1,1733
Greatest Common Factor
We found the factors 2132,1733 . The biggest common factor number is the GCF number.
So the greatest common factor 2132,1733 is 1.
Lets's calculate LCM of 337,8217
Given numbers has no common factors except 1. So, there LCM is their product i.e 2769129
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2769129
Therefore, the GCF of Fractions 2132/337,1733/8217 is 1/2769129
Least Common Multiple of 337,8217 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 337,8217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,8217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,8217) x common factors =1 x 1 = 1
LCM(337,8217) = ( 337 × 8217 ) / 1
LCM(337,8217) = 2769129 / 1
LCM(337,8217) = 2769129
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FAQs on GCF of Fractions of 2132/337, 1733/8217
1. What is the HCF of 2132,1733?
The HCF of 2132,1733 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 2132/337, 1733/8217?
Answer: GCF of Numerators as per given numbers 2132/337, 1733/8217 is
GCF of Numerators i.e. for 2132,1733 is 1
LCM of denominators i.e. for 337,8217 is 2769129.
Thus, GCF of Fractions is 1/2769129.Finally, GCF of Fractions for 2132/337, 1733/8217 is 1/2769129.