GCF of 5883/889, 1113/3359
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5883/889, 1113/3359 i.e 159/2986151 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5883/889, 1113/3359.
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 5883/889,1113/3359?
Given fractions are 5883/889,1113/3359
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 5883/889,1113/3359, numerators are 5883,1113
Denominators are 889,3359
The GCF of 5883,1113 is 159 .
LCM of 889,3359 is 2986151.
The greatest common factor of 5883/889,1113/3359 = [GCF of 5883,1113]/[LCM of 889,3359]= 159/2986151
Therefore, the GCF of 5883/889,1113/3359 is 159/2986151.
To find the highest common factor of 5883,1113, we have to find the factors of both numbers and list the highest common factor.
The factors of 5883 are 1, 3, 37, 53, 111, 159, 1961, 5883
The factors of 1113 are 1, 3, 7, 21, 53, 159, 371, 1113
The HCF of 5883,1113 is 159.
Lets's calculate GCF of 5883,1113
| 3 | 5883, 1113 |
| 53 | 1961, 371 |
| 37, 7 |
∴ So the GCF of the given numbers is 3 x 53 = 159
Greatest Common Factor of 5883,1113 By Matching Biggest Common Factor Method
Now, list down the factors of 5883
:1,3,37,53,111,159,1961,5883
Now, list down the factors of 1113
:1,3,7,21,53,159,371,1113
Greatest Common Factor
We found the factors 5883,1113 . The biggest common factor number is the GCF number.
So the greatest common factor 5883,1113 is 159.
Lets's calculate LCM of 889,3359
Given numbers has no common factors except 1. So, there LCM is their product i.e 2986151
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 159/2986151
Therefore, the GCF of Fractions 5883/889,1113/3359 is 159/2986151
Least Common Multiple of 889,3359 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 889,3359 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,3359) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(889,3359) x common factors =1 x 1 = 1
LCM(889,3359) = ( 889 × 3359 ) / 1
LCM(889,3359) = 2986151 / 1
LCM(889,3359) = 2986151
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5883/889, 1113/3359
1. What is the HCF of 5883,1113?
The HCF of 5883,1113 is 159
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 5883/889, 1113/3359?
Answer: GCF of Numerators as per given numbers 5883/889, 1113/3359 is
GCF of Numerators i.e. for 5883,1113 is 159
LCM of denominators i.e. for 889,3359 is 2986151.
Thus, GCF of Fractions is 159/2986151.Finally, GCF of Fractions for 5883/889, 1113/3359 is 159/2986151.