GCF of 4568/766, 9820/5258
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4568/766, 9820/5258 i.e 4/2013814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4568/766, 9820/5258.
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 4568/766,9820/5258?
Given fractions are 4568/766,9820/5258
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 4568/766,9820/5258, numerators are 4568,9820
Denominators are 766,5258
The GCF of 4568,9820 is 4 .
LCM of 766,5258 is 2013814.
The greatest common factor of 4568/766,9820/5258 = [GCF of 4568,9820]/[LCM of 766,5258]= 4/2013814
Therefore, the GCF of 4568/766,9820/5258 is 4/2013814.
To find the highest common factor of 4568,9820, we have to find the factors of both numbers and list the highest common factor.
The factors of 4568 are 1, 2, 4, 8, 571, 1142, 2284, 4568
The factors of 9820 are 1, 2, 4, 5, 10, 20, 491, 982, 1964, 2455, 4910, 9820
The HCF of 4568,9820 is 4.
Lets's calculate GCF of 4568,9820
| 2 | 4568, 9820 |
| 2 | 2284, 4910 |
| 1142, 2455 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4568,9820 By Matching Biggest Common Factor Method
Now, list down the factors of 4568
:1,2,4,8,571,1142,2284,4568
Now, list down the factors of 9820
:1,2,4,5,10,20,491,982,1964,2455,4910,9820
Greatest Common Factor
We found the factors 4568,9820 . The biggest common factor number is the GCF number.
So the greatest common factor 4568,9820 is 4.
Lets's calculate LCM of 766,5258
| 2 | 766, 5258 |
| 383, 2629 |
∴ So the LCM of the given numbers is 2 x 383 x 2629 = 2013814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2013814
Therefore, the GCF of Fractions 4568/766,9820/5258 is 4/2013814
Least Common Multiple of 766,5258 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 766,5258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,5258) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(766,5258) x common factors =2 x 1 = 2
LCM(766,5258) = ( 766 × 5258 ) / 2
LCM(766,5258) = 4027628 / 2
LCM(766,5258) = 2013814
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FAQs on GCF of Fractions of 4568/766, 9820/5258
1. What is the HCF of 4568,9820?
The HCF of 4568,9820 is 4
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 4568/766, 9820/5258?
Answer: GCF of Numerators as per given numbers 4568/766, 9820/5258 is
GCF of Numerators i.e. for 4568,9820 is 4
LCM of denominators i.e. for 766,5258 is 2013814.
Thus, GCF of Fractions is 4/2013814.Finally, GCF of Fractions for 4568/766, 9820/5258 is 4/2013814.