GCF of 1519/207, 8413/8591
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1519/207, 8413/8591 i.e 1/1778337 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1519/207, 8413/8591.
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 1519/207,8413/8591?
Given fractions are 1519/207,8413/8591
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 1519/207,8413/8591, numerators are 1519,8413
Denominators are 207,8591
The GCF of 1519,8413 is 1 .
LCM of 207,8591 is 1778337.
The greatest common factor of 1519/207,8413/8591 = [GCF of 1519,8413]/[LCM of 207,8591]= 1/1778337
Therefore, the GCF of 1519/207,8413/8591 is 1/1778337.
To find the highest common factor of 1519,8413, we have to find the factors of both numbers and list the highest common factor.
The factors of 1519 are 1, 7, 31, 49, 217, 1519
The factors of 8413 are 1, 47, 179, 8413
The HCF of 1519,8413 is 1.
Lets's calculate GCF of 1519,8413
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1519,8413 By Matching Biggest Common Factor Method
Now, list down the factors of 1519
:1,7,31,49,217,1519
Now, list down the factors of 8413
:1,47,179,8413
Greatest Common Factor
We found the factors 1519,8413 . The biggest common factor number is the GCF number.
So the greatest common factor 1519,8413 is 1.
Lets's calculate LCM of 207,8591
Given numbers has no common factors except 1. So, there LCM is their product i.e 1778337
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1778337
Therefore, the GCF of Fractions 1519/207,8413/8591 is 1/1778337
Least Common Multiple of 207,8591 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 207,8591 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,8591) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(207,8591) x common factors =1 x 1 = 1
LCM(207,8591) = ( 207 × 8591 ) / 1
LCM(207,8591) = 1778337 / 1
LCM(207,8591) = 1778337
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FAQs on GCF of Fractions of 1519/207, 8413/8591
1. What is the HCF of 1519,8413?
The HCF of 1519,8413 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 1519/207, 8413/8591?
Answer: GCF of Numerators as per given numbers 1519/207, 8413/8591 is
GCF of Numerators i.e. for 1519,8413 is 1
LCM of denominators i.e. for 207,8591 is 1778337.
Thus, GCF of Fractions is 1/1778337.Finally, GCF of Fractions for 1519/207, 8413/8591 is 1/1778337.