GCF of 3505/209, 1317/137
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3505/209, 1317/137 i.e 1/28633 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3505/209, 1317/137.
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 3505/209,1317/137?
Given fractions are 3505/209,1317/137
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 3505/209,1317/137, numerators are 3505,1317
Denominators are 209,137
The GCF of 3505,1317 is 1 .
LCM of 209,137 is 28633.
The greatest common factor of 3505/209,1317/137 = [GCF of 3505,1317]/[LCM of 209,137]= 1/28633
Therefore, the GCF of 3505/209,1317/137 is 1/28633.
To find the highest common factor of 3505,1317, we have to find the factors of both numbers and list the highest common factor.
The factors of 3505 are 1, 5, 701, 3505
The factors of 1317 are 1, 3, 439, 1317
The HCF of 3505,1317 is 1.
Lets's calculate GCF of 3505,1317
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3505,1317 By Matching Biggest Common Factor Method
Now, list down the factors of 3505
:1,5,701,3505
Now, list down the factors of 1317
:1,3,439,1317
Greatest Common Factor
We found the factors 3505,1317 . The biggest common factor number is the GCF number.
So the greatest common factor 3505,1317 is 1.
Lets's calculate LCM of 209,137
Given numbers has no common factors except 1. So, there LCM is their product i.e 28633
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28633
Therefore, the GCF of Fractions 3505/209,1317/137 is 1/28633
Least Common Multiple of 209,137 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 209,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(209,137) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(209,137) x common factors =1 x 1 = 1
LCM(209,137) = ( 209 × 137 ) / 1
LCM(209,137) = 28633 / 1
LCM(209,137) = 28633
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FAQs on GCF of Fractions of 3505/209, 1317/137
1. What is the HCF of 3505,1317?
The HCF of 3505,1317 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 3505/209, 1317/137?
Answer: GCF of Numerators as per given numbers 3505/209, 1317/137 is
GCF of Numerators i.e. for 3505,1317 is 1
LCM of denominators i.e. for 209,137 is 28633.
Thus, GCF of Fractions is 1/28633.Finally, GCF of Fractions for 3505/209, 1317/137 is 1/28633.