GCF of 5903/370, 8160/8907
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5903/370, 8160/8907 i.e 1/3295590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5903/370, 8160/8907.
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 5903/370,8160/8907?
Given fractions are 5903/370,8160/8907
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 5903/370,8160/8907, numerators are 5903,8160
Denominators are 370,8907
The GCF of 5903,8160 is 1 .
LCM of 370,8907 is 3295590.
The greatest common factor of 5903/370,8160/8907 = [GCF of 5903,8160]/[LCM of 370,8907]= 1/3295590
Therefore, the GCF of 5903/370,8160/8907 is 1/3295590.
To find the highest common factor of 5903,8160, we have to find the factors of both numbers and list the highest common factor.
The factors of 5903 are 1, 5903
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 5903,8160 is 1.
Lets's calculate GCF of 5903,8160
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5903,8160 By Matching Biggest Common Factor Method
Now, list down the factors of 5903
:1,5903
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 5903,8160 . The biggest common factor number is the GCF number.
So the greatest common factor 5903,8160 is 1.
Lets's calculate LCM of 370,8907
Given numbers has no common factors except 1. So, there LCM is their product i.e 3295590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3295590
Therefore, the GCF of Fractions 5903/370,8160/8907 is 1/3295590
Least Common Multiple of 370,8907 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 370,8907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,8907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(370,8907) x common factors =1 x 1 = 1
LCM(370,8907) = ( 370 × 8907 ) / 1
LCM(370,8907) = 3295590 / 1
LCM(370,8907) = 3295590
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5903/370, 8160/8907
1. What is the HCF of 5903,8160?
The HCF of 5903,8160 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 5903/370, 8160/8907?
Answer: GCF of Numerators as per given numbers 5903/370, 8160/8907 is
GCF of Numerators i.e. for 5903,8160 is 1
LCM of denominators i.e. for 370,8907 is 3295590.
Thus, GCF of Fractions is 1/3295590.Finally, GCF of Fractions for 5903/370, 8160/8907 is 1/3295590.