GCF of 494/724, 744/798
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 494/724, 744/798 i.e 2/288876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 494/724, 744/798.
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 494/724,744/798?
Given fractions are 494/724,744/798
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 494/724,744/798, numerators are 494,744
Denominators are 724,798
The GCF of 494,744 is 2 .
LCM of 724,798 is 288876.
The greatest common factor of 494/724,744/798 = [GCF of 494,744]/[LCM of 724,798]= 2/288876
Therefore, the GCF of 494/724,744/798 is 2/288876.
To find the highest common factor of 494,744, we have to find the factors of both numbers and list the highest common factor.
The factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494
The factors of 744 are 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
The HCF of 494,744 is 2.
Lets's calculate GCF of 494,744
| 2 | 494, 744 |
| 247, 372 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 494,744 By Matching Biggest Common Factor Method
Now, list down the factors of 494
:1,2,13,19,26,38,247,494
Now, list down the factors of 744
:1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Greatest Common Factor
We found the factors 494,744 . The biggest common factor number is the GCF number.
So the greatest common factor 494,744 is 2.
Lets's calculate LCM of 724,798
| 2 | 724, 798 |
| 362, 399 |
∴ So the LCM of the given numbers is 2 x 362 x 399 = 288876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/288876
Therefore, the GCF of Fractions 494/724,744/798 is 2/288876
Least Common Multiple of 724,798 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 724,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,798) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(724,798) x common factors =2 x 1 = 2
LCM(724,798) = ( 724 × 798 ) / 2
LCM(724,798) = 577752 / 2
LCM(724,798) = 288876
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FAQs on GCF of Fractions of 494/724, 744/798
1. What is the HCF of 494,744?
The HCF of 494,744 is 2
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 494/724, 744/798?
Answer: GCF of Numerators as per given numbers 494/724, 744/798 is
GCF of Numerators i.e. for 494,744 is 2
LCM of denominators i.e. for 724,798 is 288876.
Thus, GCF of Fractions is 2/288876.Finally, GCF of Fractions for 494/724, 744/798 is 2/288876.