GCF of 5183/338, 7580/1381
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5183/338, 7580/1381 i.e 1/466778 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5183/338, 7580/1381.
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 5183/338,7580/1381?
Given fractions are 5183/338,7580/1381
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 5183/338,7580/1381, numerators are 5183,7580
Denominators are 338,1381
The GCF of 5183,7580 is 1 .
LCM of 338,1381 is 466778.
The greatest common factor of 5183/338,7580/1381 = [GCF of 5183,7580]/[LCM of 338,1381]= 1/466778
Therefore, the GCF of 5183/338,7580/1381 is 1/466778.
To find the highest common factor of 5183,7580, we have to find the factors of both numbers and list the highest common factor.
The factors of 5183 are 1, 71, 73, 5183
The factors of 7580 are 1, 2, 4, 5, 10, 20, 379, 758, 1516, 1895, 3790, 7580
The HCF of 5183,7580 is 1.
Lets's calculate GCF of 5183,7580
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5183,7580 By Matching Biggest Common Factor Method
Now, list down the factors of 5183
:1,71,73,5183
Now, list down the factors of 7580
:1,2,4,5,10,20,379,758,1516,1895,3790,7580
Greatest Common Factor
We found the factors 5183,7580 . The biggest common factor number is the GCF number.
So the greatest common factor 5183,7580 is 1.
Lets's calculate LCM of 338,1381
Given numbers has no common factors except 1. So, there LCM is their product i.e 466778
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/466778
Therefore, the GCF of Fractions 5183/338,7580/1381 is 1/466778
Least Common Multiple of 338,1381 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 338,1381 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(338,1381) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(338,1381) x common factors =1 x 1 = 1
LCM(338,1381) = ( 338 × 1381 ) / 1
LCM(338,1381) = 466778 / 1
LCM(338,1381) = 466778
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FAQs on GCF of Fractions of 5183/338, 7580/1381
1. What is the HCF of 5183,7580?
The HCF of 5183,7580 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 5183/338, 7580/1381?
Answer: GCF of Numerators as per given numbers 5183/338, 7580/1381 is
GCF of Numerators i.e. for 5183,7580 is 1
LCM of denominators i.e. for 338,1381 is 466778.
Thus, GCF of Fractions is 1/466778.Finally, GCF of Fractions for 5183/338, 7580/1381 is 1/466778.