GCF of 3668/865, 8069/7304
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3668/865, 8069/7304 i.e 1/6317960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3668/865, 8069/7304.
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 3668/865,8069/7304?
Given fractions are 3668/865,8069/7304
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 3668/865,8069/7304, numerators are 3668,8069
Denominators are 865,7304
The GCF of 3668,8069 is 1 .
LCM of 865,7304 is 6317960.
The greatest common factor of 3668/865,8069/7304 = [GCF of 3668,8069]/[LCM of 865,7304]= 1/6317960
Therefore, the GCF of 3668/865,8069/7304 is 1/6317960.
To find the highest common factor of 3668,8069, we have to find the factors of both numbers and list the highest common factor.
The factors of 3668 are 1, 2, 4, 7, 14, 28, 131, 262, 524, 917, 1834, 3668
The factors of 8069 are 1, 8069
The HCF of 3668,8069 is 1.
Lets's calculate GCF of 3668,8069
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3668,8069 By Matching Biggest Common Factor Method
Now, list down the factors of 3668
:1,2,4,7,14,28,131,262,524,917,1834,3668
Now, list down the factors of 8069
:1,8069
Greatest Common Factor
We found the factors 3668,8069 . The biggest common factor number is the GCF number.
So the greatest common factor 3668,8069 is 1.
Lets's calculate LCM of 865,7304
Given numbers has no common factors except 1. So, there LCM is their product i.e 6317960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6317960
Therefore, the GCF of Fractions 3668/865,8069/7304 is 1/6317960
Least Common Multiple of 865,7304 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 865,7304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,7304) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(865,7304) x common factors =1 x 1 = 1
LCM(865,7304) = ( 865 × 7304 ) / 1
LCM(865,7304) = 6317960 / 1
LCM(865,7304) = 6317960
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FAQs on GCF of Fractions of 3668/865, 8069/7304
1. What is the HCF of 3668,8069?
The HCF of 3668,8069 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 3668/865, 8069/7304?
Answer: GCF of Numerators as per given numbers 3668/865, 8069/7304 is
GCF of Numerators i.e. for 3668,8069 is 1
LCM of denominators i.e. for 865,7304 is 6317960.
Thus, GCF of Fractions is 1/6317960.Finally, GCF of Fractions for 3668/865, 8069/7304 is 1/6317960.