GCF of 5613/149, 1001/8827
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5613/149, 1001/8827 i.e 1/1315223 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5613/149, 1001/8827.
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 5613/149,1001/8827?
Given fractions are 5613/149,1001/8827
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 5613/149,1001/8827, numerators are 5613,1001
Denominators are 149,8827
The GCF of 5613,1001 is 1 .
LCM of 149,8827 is 1315223.
The greatest common factor of 5613/149,1001/8827 = [GCF of 5613,1001]/[LCM of 149,8827]= 1/1315223
Therefore, the GCF of 5613/149,1001/8827 is 1/1315223.
To find the highest common factor of 5613,1001, we have to find the factors of both numbers and list the highest common factor.
The factors of 5613 are 1, 3, 1871, 5613
The factors of 1001 are 1, 7, 11, 13, 77, 91, 143, 1001
The HCF of 5613,1001 is 1.
Lets's calculate GCF of 5613,1001
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5613,1001 By Matching Biggest Common Factor Method
Now, list down the factors of 5613
:1,3,1871,5613
Now, list down the factors of 1001
:1,7,11,13,77,91,143,1001
Greatest Common Factor
We found the factors 5613,1001 . The biggest common factor number is the GCF number.
So the greatest common factor 5613,1001 is 1.
Lets's calculate LCM of 149,8827
Given numbers has no common factors except 1. So, there LCM is their product i.e 1315223
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1315223
Therefore, the GCF of Fractions 5613/149,1001/8827 is 1/1315223
Least Common Multiple of 149,8827 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 149,8827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,8827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,8827) x common factors =1 x 1 = 1
LCM(149,8827) = ( 149 × 8827 ) / 1
LCM(149,8827) = 1315223 / 1
LCM(149,8827) = 1315223
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5613/149, 1001/8827
1. What is the HCF of 5613,1001?
The HCF of 5613,1001 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 5613/149, 1001/8827?
Answer: GCF of Numerators as per given numbers 5613/149, 1001/8827 is
GCF of Numerators i.e. for 5613,1001 is 1
LCM of denominators i.e. for 149,8827 is 1315223.
Thus, GCF of Fractions is 1/1315223.Finally, GCF of Fractions for 5613/149, 1001/8827 is 1/1315223.