GCF of 8061/617, 9674/3765
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8061/617, 9674/3765 i.e 1/2323005 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8061/617, 9674/3765.
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 8061/617,9674/3765?
Given fractions are 8061/617,9674/3765
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 8061/617,9674/3765, numerators are 8061,9674
Denominators are 617,3765
The GCF of 8061,9674 is 1 .
LCM of 617,3765 is 2323005.
The greatest common factor of 8061/617,9674/3765 = [GCF of 8061,9674]/[LCM of 617,3765]= 1/2323005
Therefore, the GCF of 8061/617,9674/3765 is 1/2323005.
To find the highest common factor of 8061,9674, we have to find the factors of both numbers and list the highest common factor.
The factors of 8061 are 1, 3, 2687, 8061
The factors of 9674 are 1, 2, 7, 14, 691, 1382, 4837, 9674
The HCF of 8061,9674 is 1.
Lets's calculate GCF of 8061,9674
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8061,9674 By Matching Biggest Common Factor Method
Now, list down the factors of 8061
:1,3,2687,8061
Now, list down the factors of 9674
:1,2,7,14,691,1382,4837,9674
Greatest Common Factor
We found the factors 8061,9674 . The biggest common factor number is the GCF number.
So the greatest common factor 8061,9674 is 1.
Lets's calculate LCM of 617,3765
Given numbers has no common factors except 1. So, there LCM is their product i.e 2323005
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2323005
Therefore, the GCF of Fractions 8061/617,9674/3765 is 1/2323005
Least Common Multiple of 617,3765 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 617,3765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,3765) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,3765) x common factors =1 x 1 = 1
LCM(617,3765) = ( 617 × 3765 ) / 1
LCM(617,3765) = 2323005 / 1
LCM(617,3765) = 2323005
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FAQs on GCF of Fractions of 8061/617, 9674/3765
1. What is the HCF of 8061,9674?
The HCF of 8061,9674 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 8061/617, 9674/3765?
Answer: GCF of Numerators as per given numbers 8061/617, 9674/3765 is
GCF of Numerators i.e. for 8061,9674 is 1
LCM of denominators i.e. for 617,3765 is 2323005.
Thus, GCF of Fractions is 1/2323005.Finally, GCF of Fractions for 8061/617, 9674/3765 is 1/2323005.