GCF of 4520/228, 4089/898
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4520/228, 4089/898 i.e 1/102372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4520/228, 4089/898.
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 4520/228,4089/898?
Given fractions are 4520/228,4089/898
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 4520/228,4089/898, numerators are 4520,4089
Denominators are 228,898
The GCF of 4520,4089 is 1 .
LCM of 228,898 is 102372.
The greatest common factor of 4520/228,4089/898 = [GCF of 4520,4089]/[LCM of 228,898]= 1/102372
Therefore, the GCF of 4520/228,4089/898 is 1/102372.
To find the highest common factor of 4520,4089, we have to find the factors of both numbers and list the highest common factor.
The factors of 4520 are 1, 2, 4, 5, 8, 10, 20, 40, 113, 226, 452, 565, 904, 1130, 2260, 4520
The factors of 4089 are 1, 3, 29, 47, 87, 141, 1363, 4089
The HCF of 4520,4089 is 1.
Lets's calculate GCF of 4520,4089
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4520,4089 By Matching Biggest Common Factor Method
Now, list down the factors of 4520
:1,2,4,5,8,10,20,40,113,226,452,565,904,1130,2260,4520
Now, list down the factors of 4089
:1,3,29,47,87,141,1363,4089
Greatest Common Factor
We found the factors 4520,4089 . The biggest common factor number is the GCF number.
So the greatest common factor 4520,4089 is 1.
Lets's calculate LCM of 228,898
| 2 | 228, 898 |
| 114, 449 |
∴ So the LCM of the given numbers is 2 x 114 x 449 = 102372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102372
Therefore, the GCF of Fractions 4520/228,4089/898 is 1/102372
Least Common Multiple of 228,898 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 228,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,898) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(228,898) x common factors =2 x 1 = 2
LCM(228,898) = ( 228 × 898 ) / 2
LCM(228,898) = 204744 / 2
LCM(228,898) = 102372
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FAQs on GCF of Fractions of 4520/228, 4089/898
1. What is the HCF of 4520,4089?
The HCF of 4520,4089 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 4520/228, 4089/898?
Answer: GCF of Numerators as per given numbers 4520/228, 4089/898 is
GCF of Numerators i.e. for 4520,4089 is 1
LCM of denominators i.e. for 228,898 is 102372.
Thus, GCF of Fractions is 1/102372.Finally, GCF of Fractions for 4520/228, 4089/898 is 1/102372.