GCF of 1773/228, 1815/4160
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1773/228, 1815/4160 i.e 3/237120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1773/228, 1815/4160.
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 1773/228,1815/4160?
Given fractions are 1773/228,1815/4160
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 1773/228,1815/4160, numerators are 1773,1815
Denominators are 228,4160
The GCF of 1773,1815 is 3 .
LCM of 228,4160 is 237120.
The greatest common factor of 1773/228,1815/4160 = [GCF of 1773,1815]/[LCM of 228,4160]= 3/237120
Therefore, the GCF of 1773/228,1815/4160 is 3/237120.
To find the highest common factor of 1773,1815, we have to find the factors of both numbers and list the highest common factor.
The factors of 1773 are 1, 3, 9, 197, 591, 1773
The factors of 1815 are 1, 3, 5, 11, 15, 33, 55, 121, 165, 363, 605, 1815
The HCF of 1773,1815 is 3.
Lets's calculate GCF of 1773,1815
| 3 | 1773, 1815 |
| 591, 605 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1773,1815 By Matching Biggest Common Factor Method
Now, list down the factors of 1773
:1,3,9,197,591,1773
Now, list down the factors of 1815
:1,3,5,11,15,33,55,121,165,363,605,1815
Greatest Common Factor
We found the factors 1773,1815 . The biggest common factor number is the GCF number.
So the greatest common factor 1773,1815 is 3.
Lets's calculate LCM of 228,4160
| 2 | 228, 4160 |
| 2 | 114, 2080 |
| 57, 1040 |
∴ So the LCM of the given numbers is 2 x 2 x 57 x 1040 = 237120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/237120
Therefore, the GCF of Fractions 1773/228,1815/4160 is 3/237120
Least Common Multiple of 228,4160 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 228,4160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,4160) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(228,4160) x common factors =4 x 1 = 4
LCM(228,4160) = ( 228 × 4160 ) / 4
LCM(228,4160) = 948480 / 4
LCM(228,4160) = 237120
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FAQs on GCF of Fractions of 1773/228, 1815/4160
1. What is the HCF of 1773,1815?
The HCF of 1773,1815 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 1773/228, 1815/4160?
Answer: GCF of Numerators as per given numbers 1773/228, 1815/4160 is
GCF of Numerators i.e. for 1773,1815 is 3
LCM of denominators i.e. for 228,4160 is 237120.
Thus, GCF of Fractions is 3/237120.Finally, GCF of Fractions for 1773/228, 1815/4160 is 3/237120.