GCF of 1499/259, 6261/9311
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1499/259, 6261/9311 i.e 1/2411549 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1499/259, 6261/9311.
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 1499/259,6261/9311?
Given fractions are 1499/259,6261/9311
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 1499/259,6261/9311, numerators are 1499,6261
Denominators are 259,9311
The GCF of 1499,6261 is 1 .
LCM of 259,9311 is 2411549.
The greatest common factor of 1499/259,6261/9311 = [GCF of 1499,6261]/[LCM of 259,9311]= 1/2411549
Therefore, the GCF of 1499/259,6261/9311 is 1/2411549.
To find the highest common factor of 1499,6261, we have to find the factors of both numbers and list the highest common factor.
The factors of 1499 are 1, 1499
The factors of 6261 are 1, 3, 2087, 6261
The HCF of 1499,6261 is 1.
Lets's calculate GCF of 1499,6261
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1499,6261 By Matching Biggest Common Factor Method
Now, list down the factors of 1499
:1,1499
Now, list down the factors of 6261
:1,3,2087,6261
Greatest Common Factor
We found the factors 1499,6261 . The biggest common factor number is the GCF number.
So the greatest common factor 1499,6261 is 1.
Lets's calculate LCM of 259,9311
Given numbers has no common factors except 1. So, there LCM is their product i.e 2411549
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2411549
Therefore, the GCF of Fractions 1499/259,6261/9311 is 1/2411549
Least Common Multiple of 259,9311 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 259,9311 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,9311) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(259,9311) x common factors =1 x 1 = 1
LCM(259,9311) = ( 259 × 9311 ) / 1
LCM(259,9311) = 2411549 / 1
LCM(259,9311) = 2411549
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FAQs on GCF of Fractions of 1499/259, 6261/9311
1. What is the HCF of 1499,6261?
The HCF of 1499,6261 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 1499/259, 6261/9311?
Answer: GCF of Numerators as per given numbers 1499/259, 6261/9311 is
GCF of Numerators i.e. for 1499,6261 is 1
LCM of denominators i.e. for 259,9311 is 2411549.
Thus, GCF of Fractions is 1/2411549.Finally, GCF of Fractions for 1499/259, 6261/9311 is 1/2411549.