GCF of 499/40, 496/82, 747/31
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 499/40, 496/82, 747/31 i.e 1/50840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 499/40, 496/82, 747/31.
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 499/40,496/82,747/31?
Given fractions are 499/40,496/82,747/31
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 499/40,496/82,747/31, numerators are 499,496,747
Denominators are 40,82,31
The GCF of 499,496,747 is 1 .
LCM of 40,82,31 is 50840.
The greatest common factor of 499/40,496/82,747/31 = [GCF of 499,496,747]/[LCM of 40,82,31]= 1/50840
Therefore, the GCF of 499/40,496/82,747/31 is 1/50840.
To find the highest common factor of 499,496,747, we have to find the factors of both numbers and list the highest common factor.
The factors of 499 are 1, 499
The factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
The factors of 747 are 1, 3, 9, 83, 249, 747
The HCF of 499,496,747 is 1.
Lets's calculate GCF of 499,496,747
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 499,496,747 By Matching Biggest Common Factor Method
Now, list down the factors of 499
:1,499
Now, list down the factors of 496
:1,2,4,8,16,31,62,124,248,496
Now, list down the factors of 747
:1,3,9,83,249,747
Greatest Common Factor
We found the factors 499,496,747 . The biggest common factor number is the GCF number.
So the greatest common factor 499,496,747 is 1.
Lets's calculate LCM of 40,82,31
| 2 | 40, 82, 31 |
| 20, 41, 31 |
∴ So the LCM of the given numbers is 2 x 20 x 41 x 31 = 50840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50840
Therefore, the GCF of Fractions 499/40,496/82,747/31 is 1/50840
Least Common Multiple of 40,82,31 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 40,82,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,82,31) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(40,82,31) x common factors =1 x 2 = 2
LCM(40,82,31) = ( 40 × 82 × 31 ) / 2
LCM(40,82,31) = 101680 / 2
LCM(40,82,31) = 50840
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FAQs on GCF of Fractions of 499/40, 496/82, 747/31
1. What is the HCF of 499,496,747?
The HCF of 499,496,747 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 499/40, 496/82, 747/31?
Answer: GCF of Numerators as per given numbers 499/40, 496/82, 747/31 is
GCF of Numerators i.e. for 499,496,747 is 1
LCM of denominators i.e. for 40,82,31 is 50840.
Thus, GCF of Fractions is 1/50840.Finally, GCF of Fractions for 499/40, 496/82, 747/31 is 1/50840.