GCF of 5219/180, 9377/3191
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5219/180, 9377/3191 i.e 1/574380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5219/180, 9377/3191.
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 5219/180,9377/3191?
Given fractions are 5219/180,9377/3191
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 5219/180,9377/3191, numerators are 5219,9377
Denominators are 180,3191
The GCF of 5219,9377 is 1 .
LCM of 180,3191 is 574380.
The greatest common factor of 5219/180,9377/3191 = [GCF of 5219,9377]/[LCM of 180,3191]= 1/574380
Therefore, the GCF of 5219/180,9377/3191 is 1/574380.
To find the highest common factor of 5219,9377, 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 9377 are 1, 9377
The HCF of 5219,9377 is 1.
Lets's calculate GCF of 5219,9377
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5219,9377 By Matching Biggest Common Factor Method
Now, list down the factors of 5219
:1,17,307,5219
Now, list down the factors of 9377
:1,9377
Greatest Common Factor
We found the factors 5219,9377 . The biggest common factor number is the GCF number.
So the greatest common factor 5219,9377 is 1.
Lets's calculate LCM of 180,3191
Given numbers has no common factors except 1. So, there LCM is their product i.e 574380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/574380
Therefore, the GCF of Fractions 5219/180,9377/3191 is 1/574380
Least Common Multiple of 180,3191 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 180,3191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,3191) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(180,3191) x common factors =1 x 1 = 1
LCM(180,3191) = ( 180 × 3191 ) / 1
LCM(180,3191) = 574380 / 1
LCM(180,3191) = 574380
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FAQs on GCF of Fractions of 5219/180, 9377/3191
1. What is the HCF of 5219,9377?
The HCF of 5219,9377 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 5219/180, 9377/3191?
Answer: GCF of Numerators as per given numbers 5219/180, 9377/3191 is
GCF of Numerators i.e. for 5219,9377 is 1
LCM of denominators i.e. for 180,3191 is 574380.
Thus, GCF of Fractions is 1/574380.Finally, GCF of Fractions for 5219/180, 9377/3191 is 1/574380.