GCF of 4494/575, 5766/8629
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4494/575, 5766/8629 i.e 6/4961675 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4494/575, 5766/8629.
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 4494/575,5766/8629?
Given fractions are 4494/575,5766/8629
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 4494/575,5766/8629, numerators are 4494,5766
Denominators are 575,8629
The GCF of 4494,5766 is 6 .
LCM of 575,8629 is 4961675.
The greatest common factor of 4494/575,5766/8629 = [GCF of 4494,5766]/[LCM of 575,8629]= 6/4961675
Therefore, the GCF of 4494/575,5766/8629 is 6/4961675.
To find the highest common factor of 4494,5766, we have to find the factors of both numbers and list the highest common factor.
The factors of 4494 are 1, 2, 3, 6, 7, 14, 21, 42, 107, 214, 321, 642, 749, 1498, 2247, 4494
The factors of 5766 are 1, 2, 3, 6, 31, 62, 93, 186, 961, 1922, 2883, 5766
The HCF of 4494,5766 is 6.
Lets's calculate GCF of 4494,5766
| 2 | 4494, 5766 |
| 3 | 2247, 2883 |
| 749, 961 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4494,5766 By Matching Biggest Common Factor Method
Now, list down the factors of 4494
:1,2,3,6,7,14,21,42,107,214,321,642,749,1498,2247,4494
Now, list down the factors of 5766
:1,2,3,6,31,62,93,186,961,1922,2883,5766
Greatest Common Factor
We found the factors 4494,5766 . The biggest common factor number is the GCF number.
So the greatest common factor 4494,5766 is 6.
Lets's calculate LCM of 575,8629
Given numbers has no common factors except 1. So, there LCM is their product i.e 4961675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/4961675
Therefore, the GCF of Fractions 4494/575,5766/8629 is 6/4961675
Least Common Multiple of 575,8629 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 575,8629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,8629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(575,8629) x common factors =1 x 1 = 1
LCM(575,8629) = ( 575 × 8629 ) / 1
LCM(575,8629) = 4961675 / 1
LCM(575,8629) = 4961675
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FAQs on GCF of Fractions of 4494/575, 5766/8629
1. What is the HCF of 4494,5766?
The HCF of 4494,5766 is 6
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 4494/575, 5766/8629?
Answer: GCF of Numerators as per given numbers 4494/575, 5766/8629 is
GCF of Numerators i.e. for 4494,5766 is 6
LCM of denominators i.e. for 575,8629 is 4961675.
Thus, GCF of Fractions is 6/4961675.Finally, GCF of Fractions for 4494/575, 5766/8629 is 6/4961675.