GCF of 8407/340, 6535/5290
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8407/340, 6535/5290 i.e 1/179860 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8407/340, 6535/5290.
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 8407/340,6535/5290?
Given fractions are 8407/340,6535/5290
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 8407/340,6535/5290, numerators are 8407,6535
Denominators are 340,5290
The GCF of 8407,6535 is 1 .
LCM of 340,5290 is 179860.
The greatest common factor of 8407/340,6535/5290 = [GCF of 8407,6535]/[LCM of 340,5290]= 1/179860
Therefore, the GCF of 8407/340,6535/5290 is 1/179860.
To find the highest common factor of 8407,6535, we have to find the factors of both numbers and list the highest common factor.
The factors of 8407 are 1, 7, 1201, 8407
The factors of 6535 are 1, 5, 1307, 6535
The HCF of 8407,6535 is 1.
Lets's calculate GCF of 8407,6535
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8407,6535 By Matching Biggest Common Factor Method
Now, list down the factors of 8407
:1,7,1201,8407
Now, list down the factors of 6535
:1,5,1307,6535
Greatest Common Factor
We found the factors 8407,6535 . The biggest common factor number is the GCF number.
So the greatest common factor 8407,6535 is 1.
Lets's calculate LCM of 340,5290
| 2 | 340, 5290 |
| 5 | 170, 2645 |
| 34, 529 |
∴ So the LCM of the given numbers is 2 x 5 x 34 x 529 = 179860
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/179860
Therefore, the GCF of Fractions 8407/340,6535/5290 is 1/179860
Least Common Multiple of 340,5290 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 340,5290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,5290) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(340,5290) x common factors =10 x 1 = 10
LCM(340,5290) = ( 340 × 5290 ) / 10
LCM(340,5290) = 1798600 / 10
LCM(340,5290) = 179860
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FAQs on GCF of Fractions of 8407/340, 6535/5290
1. What is the HCF of 8407,6535?
The HCF of 8407,6535 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 8407/340, 6535/5290?
Answer: GCF of Numerators as per given numbers 8407/340, 6535/5290 is
GCF of Numerators i.e. for 8407,6535 is 1
LCM of denominators i.e. for 340,5290 is 179860.
Thus, GCF of Fractions is 1/179860.Finally, GCF of Fractions for 8407/340, 6535/5290 is 1/179860.