GCF of 5017/130, 8880/893
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5017/130, 8880/893 i.e 1/116090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5017/130, 8880/893.
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 5017/130,8880/893?
Given fractions are 5017/130,8880/893
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 5017/130,8880/893, numerators are 5017,8880
Denominators are 130,893
The GCF of 5017,8880 is 1 .
LCM of 130,893 is 116090.
The greatest common factor of 5017/130,8880/893 = [GCF of 5017,8880]/[LCM of 130,893]= 1/116090
Therefore, the GCF of 5017/130,8880/893 is 1/116090.
To find the highest common factor of 5017,8880, we have to find the factors of both numbers and list the highest common factor.
The factors of 5017 are 1, 29, 173, 5017
The factors of 8880 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 37, 40, 48, 60, 74, 80, 111, 120, 148, 185, 222, 240, 296, 370, 444, 555, 592, 740, 888, 1110, 1480, 1776, 2220, 2960, 4440, 8880
The HCF of 5017,8880 is 1.
Lets's calculate GCF of 5017,8880
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5017,8880 By Matching Biggest Common Factor Method
Now, list down the factors of 5017
:1,29,173,5017
Now, list down the factors of 8880
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,37,40,48,60,74,80,111,120,148,185,222,240,296,370,444,555,592,740,888,1110,1480,1776,2220,2960,4440,8880
Greatest Common Factor
We found the factors 5017,8880 . The biggest common factor number is the GCF number.
So the greatest common factor 5017,8880 is 1.
Lets's calculate LCM of 130,893
Given numbers has no common factors except 1. So, there LCM is their product i.e 116090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116090
Therefore, the GCF of Fractions 5017/130,8880/893 is 1/116090
Least Common Multiple of 130,893 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 130,893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(130,893) x common factors =1 x 1 = 1
LCM(130,893) = ( 130 × 893 ) / 1
LCM(130,893) = 116090 / 1
LCM(130,893) = 116090
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FAQs on GCF of Fractions of 5017/130, 8880/893
1. What is the HCF of 5017,8880?
The HCF of 5017,8880 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 5017/130, 8880/893?
Answer: GCF of Numerators as per given numbers 5017/130, 8880/893 is
GCF of Numerators i.e. for 5017,8880 is 1
LCM of denominators i.e. for 130,893 is 116090.
Thus, GCF of Fractions is 1/116090.Finally, GCF of Fractions for 5017/130, 8880/893 is 1/116090.