GCF of 8507/646, 1642/4306
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8507/646, 1642/4306 i.e 1/1390838 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8507/646, 1642/4306.
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 8507/646,1642/4306?
Given fractions are 8507/646,1642/4306
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 8507/646,1642/4306, numerators are 8507,1642
Denominators are 646,4306
The GCF of 8507,1642 is 1 .
LCM of 646,4306 is 1390838.
The greatest common factor of 8507/646,1642/4306 = [GCF of 8507,1642]/[LCM of 646,4306]= 1/1390838
Therefore, the GCF of 8507/646,1642/4306 is 1/1390838.
To find the highest common factor of 8507,1642, we have to find the factors of both numbers and list the highest common factor.
The factors of 8507 are 1, 47, 181, 8507
The factors of 1642 are 1, 2, 821, 1642
The HCF of 8507,1642 is 1.
Lets's calculate GCF of 8507,1642
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8507,1642 By Matching Biggest Common Factor Method
Now, list down the factors of 8507
:1,47,181,8507
Now, list down the factors of 1642
:1,2,821,1642
Greatest Common Factor
We found the factors 8507,1642 . The biggest common factor number is the GCF number.
So the greatest common factor 8507,1642 is 1.
Lets's calculate LCM of 646,4306
| 2 | 646, 4306 |
| 323, 2153 |
∴ So the LCM of the given numbers is 2 x 323 x 2153 = 1390838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1390838
Therefore, the GCF of Fractions 8507/646,1642/4306 is 1/1390838
Least Common Multiple of 646,4306 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 646,4306 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,4306) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(646,4306) x common factors =2 x 1 = 2
LCM(646,4306) = ( 646 × 4306 ) / 2
LCM(646,4306) = 2781676 / 2
LCM(646,4306) = 1390838
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FAQs on GCF of Fractions of 8507/646, 1642/4306
1. What is the HCF of 8507,1642?
The HCF of 8507,1642 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 8507/646, 1642/4306?
Answer: GCF of Numerators as per given numbers 8507/646, 1642/4306 is
GCF of Numerators i.e. for 8507,1642 is 1
LCM of denominators i.e. for 646,4306 is 1390838.
Thus, GCF of Fractions is 1/1390838.Finally, GCF of Fractions for 8507/646, 1642/4306 is 1/1390838.