GCF of 5219/513, 4659/9574
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5219/513, 4659/9574 i.e 1/4911462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5219/513, 4659/9574.
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 5219/513,4659/9574?
Given fractions are 5219/513,4659/9574
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 5219/513,4659/9574, numerators are 5219,4659
Denominators are 513,9574
The GCF of 5219,4659 is 1 .
LCM of 513,9574 is 4911462.
The greatest common factor of 5219/513,4659/9574 = [GCF of 5219,4659]/[LCM of 513,9574]= 1/4911462
Therefore, the GCF of 5219/513,4659/9574 is 1/4911462.
To find the highest common factor of 5219,4659, we have to find the factors of both numbers and list the highest common factor.
The factors of 5219 are 1, 17, 307, 5219
The factors of 4659 are 1, 3, 1553, 4659
The HCF of 5219,4659 is 1.
Lets's calculate GCF of 5219,4659
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5219,4659 By Matching Biggest Common Factor Method
Now, list down the factors of 5219
:1,17,307,5219
Now, list down the factors of 4659
:1,3,1553,4659
Greatest Common Factor
We found the factors 5219,4659 . The biggest common factor number is the GCF number.
So the greatest common factor 5219,4659 is 1.
Lets's calculate LCM of 513,9574
Given numbers has no common factors except 1. So, there LCM is their product i.e 4911462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4911462
Therefore, the GCF of Fractions 5219/513,4659/9574 is 1/4911462
Least Common Multiple of 513,9574 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 513,9574 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(513,9574) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(513,9574) x common factors =1 x 1 = 1
LCM(513,9574) = ( 513 × 9574 ) / 1
LCM(513,9574) = 4911462 / 1
LCM(513,9574) = 4911462
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FAQs on GCF of Fractions of 5219/513, 4659/9574
1. What is the HCF of 5219,4659?
The HCF of 5219,4659 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 5219/513, 4659/9574?
Answer: GCF of Numerators as per given numbers 5219/513, 4659/9574 is
GCF of Numerators i.e. for 5219,4659 is 1
LCM of denominators i.e. for 513,9574 is 4911462.
Thus, GCF of Fractions is 1/4911462.Finally, GCF of Fractions for 5219/513, 4659/9574 is 1/4911462.