GCF of 7075/649, 8317/3517
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7075/649, 8317/3517 i.e 1/2282533 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7075/649, 8317/3517.
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 7075/649,8317/3517?
Given fractions are 7075/649,8317/3517
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 7075/649,8317/3517, numerators are 7075,8317
Denominators are 649,3517
The GCF of 7075,8317 is 1 .
LCM of 649,3517 is 2282533.
The greatest common factor of 7075/649,8317/3517 = [GCF of 7075,8317]/[LCM of 649,3517]= 1/2282533
Therefore, the GCF of 7075/649,8317/3517 is 1/2282533.
To find the highest common factor of 7075,8317, we have to find the factors of both numbers and list the highest common factor.
The factors of 7075 are 1, 5, 25, 283, 1415, 7075
The factors of 8317 are 1, 8317
The HCF of 7075,8317 is 1.
Lets's calculate GCF of 7075,8317
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7075,8317 By Matching Biggest Common Factor Method
Now, list down the factors of 7075
:1,5,25,283,1415,7075
Now, list down the factors of 8317
:1,8317
Greatest Common Factor
We found the factors 7075,8317 . The biggest common factor number is the GCF number.
So the greatest common factor 7075,8317 is 1.
Lets's calculate LCM of 649,3517
Given numbers has no common factors except 1. So, there LCM is their product i.e 2282533
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2282533
Therefore, the GCF of Fractions 7075/649,8317/3517 is 1/2282533
Least Common Multiple of 649,3517 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 649,3517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,3517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(649,3517) x common factors =1 x 1 = 1
LCM(649,3517) = ( 649 × 3517 ) / 1
LCM(649,3517) = 2282533 / 1
LCM(649,3517) = 2282533
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FAQs on GCF of Fractions of 7075/649, 8317/3517
1. What is the HCF of 7075,8317?
The HCF of 7075,8317 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 7075/649, 8317/3517?
Answer: GCF of Numerators as per given numbers 7075/649, 8317/3517 is
GCF of Numerators i.e. for 7075,8317 is 1
LCM of denominators i.e. for 649,3517 is 2282533.
Thus, GCF of Fractions is 1/2282533.Finally, GCF of Fractions for 7075/649, 8317/3517 is 1/2282533.