GCF of 3109/355, 8468/727
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3109/355, 8468/727 i.e 1/258085 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3109/355, 8468/727.
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 3109/355,8468/727?
Given fractions are 3109/355,8468/727
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 3109/355,8468/727, numerators are 3109,8468
Denominators are 355,727
The GCF of 3109,8468 is 1 .
LCM of 355,727 is 258085.
The greatest common factor of 3109/355,8468/727 = [GCF of 3109,8468]/[LCM of 355,727]= 1/258085
Therefore, the GCF of 3109/355,8468/727 is 1/258085.
To find the highest common factor of 3109,8468, we have to find the factors of both numbers and list the highest common factor.
The factors of 3109 are 1, 3109
The factors of 8468 are 1, 2, 4, 29, 58, 73, 116, 146, 292, 2117, 4234, 8468
The HCF of 3109,8468 is 1.
Lets's calculate GCF of 3109,8468
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3109,8468 By Matching Biggest Common Factor Method
Now, list down the factors of 3109
:1,3109
Now, list down the factors of 8468
:1,2,4,29,58,73,116,146,292,2117,4234,8468
Greatest Common Factor
We found the factors 3109,8468 . The biggest common factor number is the GCF number.
So the greatest common factor 3109,8468 is 1.
Lets's calculate LCM of 355,727
Given numbers has no common factors except 1. So, there LCM is their product i.e 258085
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/258085
Therefore, the GCF of Fractions 3109/355,8468/727 is 1/258085
Least Common Multiple of 355,727 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 355,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(355,727) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(355,727) x common factors =1 x 1 = 1
LCM(355,727) = ( 355 × 727 ) / 1
LCM(355,727) = 258085 / 1
LCM(355,727) = 258085
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FAQs on GCF of Fractions of 3109/355, 8468/727
1. What is the HCF of 3109,8468?
The HCF of 3109,8468 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 3109/355, 8468/727?
Answer: GCF of Numerators as per given numbers 3109/355, 8468/727 is
GCF of Numerators i.e. for 3109,8468 is 1
LCM of denominators i.e. for 355,727 is 258085.
Thus, GCF of Fractions is 1/258085.Finally, GCF of Fractions for 3109/355, 8468/727 is 1/258085.