GCF of 4698/226, 1535/9052
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4698/226, 1535/9052 i.e 1/1022876 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4698/226, 1535/9052.
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 4698/226,1535/9052?
Given fractions are 4698/226,1535/9052
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 4698/226,1535/9052, numerators are 4698,1535
Denominators are 226,9052
The GCF of 4698,1535 is 1 .
LCM of 226,9052 is 1022876.
The greatest common factor of 4698/226,1535/9052 = [GCF of 4698,1535]/[LCM of 226,9052]= 1/1022876
Therefore, the GCF of 4698/226,1535/9052 is 1/1022876.
To find the highest common factor of 4698,1535, we have to find the factors of both numbers and list the highest common factor.
The factors of 4698 are 1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 81, 87, 162, 174, 261, 522, 783, 1566, 2349, 4698
The factors of 1535 are 1, 5, 307, 1535
The HCF of 4698,1535 is 1.
Lets's calculate GCF of 4698,1535
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4698,1535 By Matching Biggest Common Factor Method
Now, list down the factors of 4698
:1,2,3,6,9,18,27,29,54,58,81,87,162,174,261,522,783,1566,2349,4698
Now, list down the factors of 1535
:1,5,307,1535
Greatest Common Factor
We found the factors 4698,1535 . The biggest common factor number is the GCF number.
So the greatest common factor 4698,1535 is 1.
Lets's calculate LCM of 226,9052
| 2 | 226, 9052 |
| 113, 4526 |
∴ So the LCM of the given numbers is 2 x 113 x 4526 = 1022876
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1022876
Therefore, the GCF of Fractions 4698/226,1535/9052 is 1/1022876
Least Common Multiple of 226,9052 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 226,9052 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(226,9052) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(226,9052) x common factors =2 x 1 = 2
LCM(226,9052) = ( 226 × 9052 ) / 2
LCM(226,9052) = 2045752 / 2
LCM(226,9052) = 1022876
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4698/226, 1535/9052
1. What is the HCF of 4698,1535?
The HCF of 4698,1535 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 4698/226, 1535/9052?
Answer: GCF of Numerators as per given numbers 4698/226, 1535/9052 is
GCF of Numerators i.e. for 4698,1535 is 1
LCM of denominators i.e. for 226,9052 is 1022876.
Thus, GCF of Fractions is 1/1022876.Finally, GCF of Fractions for 4698/226, 1535/9052 is 1/1022876.