GCF of 7503/149, 4010/814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7503/149, 4010/814 i.e 1/121286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7503/149, 4010/814.
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 7503/149,4010/814?
Given fractions are 7503/149,4010/814
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 7503/149,4010/814, numerators are 7503,4010
Denominators are 149,814
The GCF of 7503,4010 is 1 .
LCM of 149,814 is 121286.
The greatest common factor of 7503/149,4010/814 = [GCF of 7503,4010]/[LCM of 149,814]= 1/121286
Therefore, the GCF of 7503/149,4010/814 is 1/121286.
To find the highest common factor of 7503,4010, we have to find the factors of both numbers and list the highest common factor.
The factors of 7503 are 1, 3, 41, 61, 123, 183, 2501, 7503
The factors of 4010 are 1, 2, 5, 10, 401, 802, 2005, 4010
The HCF of 7503,4010 is 1.
Lets's calculate GCF of 7503,4010
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7503,4010 By Matching Biggest Common Factor Method
Now, list down the factors of 7503
:1,3,41,61,123,183,2501,7503
Now, list down the factors of 4010
:1,2,5,10,401,802,2005,4010
Greatest Common Factor
We found the factors 7503,4010 . The biggest common factor number is the GCF number.
So the greatest common factor 7503,4010 is 1.
Lets's calculate LCM of 149,814
Given numbers has no common factors except 1. So, there LCM is their product i.e 121286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121286
Therefore, the GCF of Fractions 7503/149,4010/814 is 1/121286
Least Common Multiple of 149,814 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 149,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,814) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,814) x common factors =1 x 1 = 1
LCM(149,814) = ( 149 × 814 ) / 1
LCM(149,814) = 121286 / 1
LCM(149,814) = 121286
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7503/149, 4010/814
1. What is the HCF of 7503,4010?
The HCF of 7503,4010 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 7503/149, 4010/814?
Answer: GCF of Numerators as per given numbers 7503/149, 4010/814 is
GCF of Numerators i.e. for 7503,4010 is 1
LCM of denominators i.e. for 149,814 is 121286.
Thus, GCF of Fractions is 1/121286.Finally, GCF of Fractions for 7503/149, 4010/814 is 1/121286.