GCF of 228/1532, 459/5875
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 228/1532, 459/5875 i.e 3/9000500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 228/1532, 459/5875.
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 228/1532,459/5875?
Given fractions are 228/1532,459/5875
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 228/1532,459/5875, numerators are 228,459
Denominators are 1532,5875
The GCF of 228,459 is 3 .
LCM of 1532,5875 is 9000500.
The greatest common factor of 228/1532,459/5875 = [GCF of 228,459]/[LCM of 1532,5875]= 3/9000500
Therefore, the GCF of 228/1532,459/5875 is 3/9000500.
To find the highest common factor of 228,459, we have to find the factors of both numbers and list the highest common factor.
The factors of 228 are 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
The factors of 459 are 1, 3, 9, 17, 27, 51, 153, 459
The HCF of 228,459 is 3.
Lets's calculate GCF of 228,459
| 3 | 228, 459 |
| 76, 153 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 228,459 By Matching Biggest Common Factor Method
Now, list down the factors of 228
:1,2,3,4,6,12,19,38,57,76,114,228
Now, list down the factors of 459
:1,3,9,17,27,51,153,459
Greatest Common Factor
We found the factors 228,459 . The biggest common factor number is the GCF number.
So the greatest common factor 228,459 is 3.
Lets's calculate LCM of 1532,5875
Given numbers has no common factors except 1. So, there LCM is their product i.e 9000500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9000500
Therefore, the GCF of Fractions 228/1532,459/5875 is 3/9000500
Least Common Multiple of 1532,5875 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 1532,5875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1532,5875) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1532,5875) x common factors =1 x 1 = 1
LCM(1532,5875) = ( 1532 × 5875 ) / 1
LCM(1532,5875) = 9000500 / 1
LCM(1532,5875) = 9000500
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FAQs on GCF of Fractions of 228/1532, 459/5875
1. What is the HCF of 228,459?
The HCF of 228,459 is 3
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 228/1532, 459/5875?
Answer: GCF of Numerators as per given numbers 228/1532, 459/5875 is
GCF of Numerators i.e. for 228,459 is 3
LCM of denominators i.e. for 1532,5875 is 9000500.
Thus, GCF of Fractions is 3/9000500.Finally, GCF of Fractions for 228/1532, 459/5875 is 3/9000500.