GCF of 4936/809, 3519/9469
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4936/809, 3519/9469 i.e 1/7660421 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4936/809, 3519/9469.
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 4936/809,3519/9469?
Given fractions are 4936/809,3519/9469
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 4936/809,3519/9469, numerators are 4936,3519
Denominators are 809,9469
The GCF of 4936,3519 is 1 .
LCM of 809,9469 is 7660421.
The greatest common factor of 4936/809,3519/9469 = [GCF of 4936,3519]/[LCM of 809,9469]= 1/7660421
Therefore, the GCF of 4936/809,3519/9469 is 1/7660421.
To find the highest common factor of 4936,3519, we have to find the factors of both numbers and list the highest common factor.
The factors of 4936 are 1, 2, 4, 8, 617, 1234, 2468, 4936
The factors of 3519 are 1, 3, 9, 17, 23, 51, 69, 153, 207, 391, 1173, 3519
The HCF of 4936,3519 is 1.
Lets's calculate GCF of 4936,3519
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4936,3519 By Matching Biggest Common Factor Method
Now, list down the factors of 4936
:1,2,4,8,617,1234,2468,4936
Now, list down the factors of 3519
:1,3,9,17,23,51,69,153,207,391,1173,3519
Greatest Common Factor
We found the factors 4936,3519 . The biggest common factor number is the GCF number.
So the greatest common factor 4936,3519 is 1.
Lets's calculate LCM of 809,9469
Given numbers has no common factors except 1. So, there LCM is their product i.e 7660421
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7660421
Therefore, the GCF of Fractions 4936/809,3519/9469 is 1/7660421
Least Common Multiple of 809,9469 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 809,9469 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(809,9469) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(809,9469) x common factors =1 x 1 = 1
LCM(809,9469) = ( 809 × 9469 ) / 1
LCM(809,9469) = 7660421 / 1
LCM(809,9469) = 7660421
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FAQs on GCF of Fractions of 4936/809, 3519/9469
1. What is the HCF of 4936,3519?
The HCF of 4936,3519 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 4936/809, 3519/9469?
Answer: GCF of Numerators as per given numbers 4936/809, 3519/9469 is
GCF of Numerators i.e. for 4936,3519 is 1
LCM of denominators i.e. for 809,9469 is 7660421.
Thus, GCF of Fractions is 1/7660421.Finally, GCF of Fractions for 4936/809, 3519/9469 is 1/7660421.