GCF of 2494/509, 9281/7132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2494/509, 9281/7132 i.e 1/3630188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2494/509, 9281/7132.
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 2494/509,9281/7132?
Given fractions are 2494/509,9281/7132
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 2494/509,9281/7132, numerators are 2494,9281
Denominators are 509,7132
The GCF of 2494,9281 is 1 .
LCM of 509,7132 is 3630188.
The greatest common factor of 2494/509,9281/7132 = [GCF of 2494,9281]/[LCM of 509,7132]= 1/3630188
Therefore, the GCF of 2494/509,9281/7132 is 1/3630188.
To find the highest common factor of 2494,9281, we have to find the factors of both numbers and list the highest common factor.
The factors of 2494 are 1, 2, 29, 43, 58, 86, 1247, 2494
The factors of 9281 are 1, 9281
The HCF of 2494,9281 is 1.
Lets's calculate GCF of 2494,9281
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2494,9281 By Matching Biggest Common Factor Method
Now, list down the factors of 2494
:1,2,29,43,58,86,1247,2494
Now, list down the factors of 9281
:1,9281
Greatest Common Factor
We found the factors 2494,9281 . The biggest common factor number is the GCF number.
So the greatest common factor 2494,9281 is 1.
Lets's calculate LCM of 509,7132
Given numbers has no common factors except 1. So, there LCM is their product i.e 3630188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3630188
Therefore, the GCF of Fractions 2494/509,9281/7132 is 1/3630188
Least Common Multiple of 509,7132 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 509,7132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(509,7132) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(509,7132) x common factors =1 x 1 = 1
LCM(509,7132) = ( 509 × 7132 ) / 1
LCM(509,7132) = 3630188 / 1
LCM(509,7132) = 3630188
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FAQs on GCF of Fractions of 2494/509, 9281/7132
1. What is the HCF of 2494,9281?
The HCF of 2494,9281 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 2494/509, 9281/7132?
Answer: GCF of Numerators as per given numbers 2494/509, 9281/7132 is
GCF of Numerators i.e. for 2494,9281 is 1
LCM of denominators i.e. for 509,7132 is 3630188.
Thus, GCF of Fractions is 1/3630188.Finally, GCF of Fractions for 2494/509, 9281/7132 is 1/3630188.