GCF of 228/800, 4465/818
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 228/800, 4465/818 i.e 19/327200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 228/800, 4465/818.
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 228/800,4465/818?
Given fractions are 228/800,4465/818
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 228/800,4465/818, numerators are 228,4465
Denominators are 800,818
The GCF of 228,4465 is 19 .
LCM of 800,818 is 327200.
The greatest common factor of 228/800,4465/818 = [GCF of 228,4465]/[LCM of 800,818]= 19/327200
Therefore, the GCF of 228/800,4465/818 is 19/327200.
To find the highest common factor of 228,4465, 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 4465 are 1, 5, 19, 47, 95, 235, 893, 4465
The HCF of 228,4465 is 19.
Lets's calculate GCF of 228,4465
| 19 | 228, 4465 |
| 12, 235 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 228,4465 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 4465
:1,5,19,47,95,235,893,4465
Greatest Common Factor
We found the factors 228,4465 . The biggest common factor number is the GCF number.
So the greatest common factor 228,4465 is 19.
Lets's calculate LCM of 800,818
| 2 | 800, 818 |
| 400, 409 |
∴ So the LCM of the given numbers is 2 x 400 x 409 = 327200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/327200
Therefore, the GCF of Fractions 228/800,4465/818 is 19/327200
Least Common Multiple of 800,818 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 800,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(800,818) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(800,818) x common factors =2 x 1 = 2
LCM(800,818) = ( 800 × 818 ) / 2
LCM(800,818) = 654400 / 2
LCM(800,818) = 327200
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FAQs on GCF of Fractions of 228/800, 4465/818
1. What is the HCF of 228,4465?
The HCF of 228,4465 is 19
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 228/800, 4465/818?
Answer: GCF of Numerators as per given numbers 228/800, 4465/818 is
GCF of Numerators i.e. for 228,4465 is 19
LCM of denominators i.e. for 800,818 is 327200.
Thus, GCF of Fractions is 19/327200.Finally, GCF of Fractions for 228/800, 4465/818 is 19/327200.