GCF of 945/580, 1971/4788
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 945/580, 1971/4788 i.e 27/694260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 945/580, 1971/4788.
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 945/580,1971/4788?
Given fractions are 945/580,1971/4788
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 945/580,1971/4788, numerators are 945,1971
Denominators are 580,4788
The GCF of 945,1971 is 27 .
LCM of 580,4788 is 694260.
The greatest common factor of 945/580,1971/4788 = [GCF of 945,1971]/[LCM of 580,4788]= 27/694260
Therefore, the GCF of 945/580,1971/4788 is 27/694260.
To find the highest common factor of 945,1971, we have to find the factors of both numbers and list the highest common factor.
The factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
The factors of 1971 are 1, 3, 9, 27, 73, 219, 657, 1971
The HCF of 945,1971 is 27.
Lets's calculate GCF of 945,1971
| 3 | 945, 1971 |
| 3 | 315, 657 |
| 3 | 105, 219 |
| 35, 73 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 945,1971 By Matching Biggest Common Factor Method
Now, list down the factors of 945
:1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Now, list down the factors of 1971
:1,3,9,27,73,219,657,1971
Greatest Common Factor
We found the factors 945,1971 . The biggest common factor number is the GCF number.
So the greatest common factor 945,1971 is 27.
Lets's calculate LCM of 580,4788
| 2 | 580, 4788 |
| 2 | 290, 2394 |
| 145, 1197 |
∴ So the LCM of the given numbers is 2 x 2 x 145 x 1197 = 694260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/694260
Therefore, the GCF of Fractions 945/580,1971/4788 is 27/694260
Least Common Multiple of 580,4788 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 580,4788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(580,4788) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(580,4788) x common factors =4 x 1 = 4
LCM(580,4788) = ( 580 × 4788 ) / 4
LCM(580,4788) = 2777040 / 4
LCM(580,4788) = 694260
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FAQs on GCF of Fractions of 945/580, 1971/4788
1. What is the HCF of 945,1971?
The HCF of 945,1971 is 27
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 945/580, 1971/4788?
Answer: GCF of Numerators as per given numbers 945/580, 1971/4788 is
GCF of Numerators i.e. for 945,1971 is 27
LCM of denominators i.e. for 580,4788 is 694260.
Thus, GCF of Fractions is 27/694260.Finally, GCF of Fractions for 945/580, 1971/4788 is 27/694260.