GCF of 4153/985, 8160/9502
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4153/985, 8160/9502 i.e 1/9359470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4153/985, 8160/9502.
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 4153/985,8160/9502?
Given fractions are 4153/985,8160/9502
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 4153/985,8160/9502, numerators are 4153,8160
Denominators are 985,9502
The GCF of 4153,8160 is 1 .
LCM of 985,9502 is 9359470.
The greatest common factor of 4153/985,8160/9502 = [GCF of 4153,8160]/[LCM of 985,9502]= 1/9359470
Therefore, the GCF of 4153/985,8160/9502 is 1/9359470.
To find the highest common factor of 4153,8160, we have to find the factors of both numbers and list the highest common factor.
The factors of 4153 are 1, 4153
The factors of 8160 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 17, 20, 24, 30, 32, 34, 40, 48, 51, 60, 68, 80, 85, 96, 102, 120, 136, 160, 170, 204, 240, 255, 272, 340, 408, 480, 510, 544, 680, 816, 1020, 1360, 1632, 2040, 2720, 4080, 8160
The HCF of 4153,8160 is 1.
Lets's calculate GCF of 4153,8160
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4153,8160 By Matching Biggest Common Factor Method
Now, list down the factors of 4153
:1,4153
Now, list down the factors of 8160
:1,2,3,4,5,6,8,10,12,15,16,17,20,24,30,32,34,40,48,51,60,68,80,85,96,102,120,136,160,170,204,240,255,272,340,408,480,510,544,680,816,1020,1360,1632,2040,2720,4080,8160
Greatest Common Factor
We found the factors 4153,8160 . The biggest common factor number is the GCF number.
So the greatest common factor 4153,8160 is 1.
Lets's calculate LCM of 985,9502
Given numbers has no common factors except 1. So, there LCM is their product i.e 9359470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9359470
Therefore, the GCF of Fractions 4153/985,8160/9502 is 1/9359470
Least Common Multiple of 985,9502 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 985,9502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(985,9502) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(985,9502) x common factors =1 x 1 = 1
LCM(985,9502) = ( 985 × 9502 ) / 1
LCM(985,9502) = 9359470 / 1
LCM(985,9502) = 9359470
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FAQs on GCF of Fractions of 4153/985, 8160/9502
1. What is the HCF of 4153,8160?
The HCF of 4153,8160 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 4153/985, 8160/9502?
Answer: GCF of Numerators as per given numbers 4153/985, 8160/9502 is
GCF of Numerators i.e. for 4153,8160 is 1
LCM of denominators i.e. for 985,9502 is 9359470.
Thus, GCF of Fractions is 1/9359470.Finally, GCF of Fractions for 4153/985, 8160/9502 is 1/9359470.