GCF of 8240/315, 7041/2102
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8240/315, 7041/2102 i.e 1/662130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8240/315, 7041/2102.
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 8240/315,7041/2102?
Given fractions are 8240/315,7041/2102
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 8240/315,7041/2102, numerators are 8240,7041
Denominators are 315,2102
The GCF of 8240,7041 is 1 .
LCM of 315,2102 is 662130.
The greatest common factor of 8240/315,7041/2102 = [GCF of 8240,7041]/[LCM of 315,2102]= 1/662130
Therefore, the GCF of 8240/315,7041/2102 is 1/662130.
To find the highest common factor of 8240,7041, we have to find the factors of both numbers and list the highest common factor.
The factors of 8240 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 103, 206, 412, 515, 824, 1030, 1648, 2060, 4120, 8240
The factors of 7041 are 1, 3, 2347, 7041
The HCF of 8240,7041 is 1.
Lets's calculate GCF of 8240,7041
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8240,7041 By Matching Biggest Common Factor Method
Now, list down the factors of 8240
:1,2,4,5,8,10,16,20,40,80,103,206,412,515,824,1030,1648,2060,4120,8240
Now, list down the factors of 7041
:1,3,2347,7041
Greatest Common Factor
We found the factors 8240,7041 . The biggest common factor number is the GCF number.
So the greatest common factor 8240,7041 is 1.
Lets's calculate LCM of 315,2102
Given numbers has no common factors except 1. So, there LCM is their product i.e 662130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/662130
Therefore, the GCF of Fractions 8240/315,7041/2102 is 1/662130
Least Common Multiple of 315,2102 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 315,2102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,2102) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(315,2102) x common factors =1 x 1 = 1
LCM(315,2102) = ( 315 × 2102 ) / 1
LCM(315,2102) = 662130 / 1
LCM(315,2102) = 662130
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FAQs on GCF of Fractions of 8240/315, 7041/2102
1. What is the HCF of 8240,7041?
The HCF of 8240,7041 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 8240/315, 7041/2102?
Answer: GCF of Numerators as per given numbers 8240/315, 7041/2102 is
GCF of Numerators i.e. for 8240,7041 is 1
LCM of denominators i.e. for 315,2102 is 662130.
Thus, GCF of Fractions is 1/662130.Finally, GCF of Fractions for 8240/315, 7041/2102 is 1/662130.