GCF of 3646/313, 3461/3623
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3646/313, 3461/3623 i.e 1/1133999 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3646/313, 3461/3623.
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 3646/313,3461/3623?
Given fractions are 3646/313,3461/3623
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 3646/313,3461/3623, numerators are 3646,3461
Denominators are 313,3623
The GCF of 3646,3461 is 1 .
LCM of 313,3623 is 1133999.
The greatest common factor of 3646/313,3461/3623 = [GCF of 3646,3461]/[LCM of 313,3623]= 1/1133999
Therefore, the GCF of 3646/313,3461/3623 is 1/1133999.
To find the highest common factor of 3646,3461, we have to find the factors of both numbers and list the highest common factor.
The factors of 3646 are 1, 2, 1823, 3646
The factors of 3461 are 1, 3461
The HCF of 3646,3461 is 1.
Lets's calculate GCF of 3646,3461
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3646,3461 By Matching Biggest Common Factor Method
Now, list down the factors of 3646
:1,2,1823,3646
Now, list down the factors of 3461
:1,3461
Greatest Common Factor
We found the factors 3646,3461 . The biggest common factor number is the GCF number.
So the greatest common factor 3646,3461 is 1.
Lets's calculate LCM of 313,3623
Given numbers has no common factors except 1. So, there LCM is their product i.e 1133999
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1133999
Therefore, the GCF of Fractions 3646/313,3461/3623 is 1/1133999
Least Common Multiple of 313,3623 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 313,3623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(313,3623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(313,3623) x common factors =1 x 1 = 1
LCM(313,3623) = ( 313 × 3623 ) / 1
LCM(313,3623) = 1133999 / 1
LCM(313,3623) = 1133999
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FAQs on GCF of Fractions of 3646/313, 3461/3623
1. What is the HCF of 3646,3461?
The HCF of 3646,3461 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 3646/313, 3461/3623?
Answer: GCF of Numerators as per given numbers 3646/313, 3461/3623 is
GCF of Numerators i.e. for 3646,3461 is 1
LCM of denominators i.e. for 313,3623 is 1133999.
Thus, GCF of Fractions is 1/1133999.Finally, GCF of Fractions for 3646/313, 3461/3623 is 1/1133999.