GCF of 2499/710, 4640/2243
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2499/710, 4640/2243 i.e 1/1592530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2499/710, 4640/2243.
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 2499/710,4640/2243?
Given fractions are 2499/710,4640/2243
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 2499/710,4640/2243, numerators are 2499,4640
Denominators are 710,2243
The GCF of 2499,4640 is 1 .
LCM of 710,2243 is 1592530.
The greatest common factor of 2499/710,4640/2243 = [GCF of 2499,4640]/[LCM of 710,2243]= 1/1592530
Therefore, the GCF of 2499/710,4640/2243 is 1/1592530.
To find the highest common factor of 2499,4640, we have to find the factors of both numbers and list the highest common factor.
The factors of 2499 are 1, 3, 7, 17, 21, 49, 51, 119, 147, 357, 833, 2499
The factors of 4640 are 1, 2, 4, 5, 8, 10, 16, 20, 29, 32, 40, 58, 80, 116, 145, 160, 232, 290, 464, 580, 928, 1160, 2320, 4640
The HCF of 2499,4640 is 1.
Lets's calculate GCF of 2499,4640
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2499,4640 By Matching Biggest Common Factor Method
Now, list down the factors of 2499
:1,3,7,17,21,49,51,119,147,357,833,2499
Now, list down the factors of 4640
:1,2,4,5,8,10,16,20,29,32,40,58,80,116,145,160,232,290,464,580,928,1160,2320,4640
Greatest Common Factor
We found the factors 2499,4640 . The biggest common factor number is the GCF number.
So the greatest common factor 2499,4640 is 1.
Lets's calculate LCM of 710,2243
Given numbers has no common factors except 1. So, there LCM is their product i.e 1592530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1592530
Therefore, the GCF of Fractions 2499/710,4640/2243 is 1/1592530
Least Common Multiple of 710,2243 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 710,2243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(710,2243) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(710,2243) x common factors =1 x 1 = 1
LCM(710,2243) = ( 710 × 2243 ) / 1
LCM(710,2243) = 1592530 / 1
LCM(710,2243) = 1592530
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2499/710, 4640/2243
1. What is the HCF of 2499,4640?
The HCF of 2499,4640 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 2499/710, 4640/2243?
Answer: GCF of Numerators as per given numbers 2499/710, 4640/2243 is
GCF of Numerators i.e. for 2499,4640 is 1
LCM of denominators i.e. for 710,2243 is 1592530.
Thus, GCF of Fractions is 1/1592530.Finally, GCF of Fractions for 2499/710, 4640/2243 is 1/1592530.