GCF of 3555/778, 5913/8576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3555/778, 5913/8576 i.e 9/3336064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3555/778, 5913/8576.
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 3555/778,5913/8576?
Given fractions are 3555/778,5913/8576
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 3555/778,5913/8576, numerators are 3555,5913
Denominators are 778,8576
The GCF of 3555,5913 is 9 .
LCM of 778,8576 is 3336064.
The greatest common factor of 3555/778,5913/8576 = [GCF of 3555,5913]/[LCM of 778,8576]= 9/3336064
Therefore, the GCF of 3555/778,5913/8576 is 9/3336064.
To find the highest common factor of 3555,5913, we have to find the factors of both numbers and list the highest common factor.
The factors of 3555 are 1, 3, 5, 9, 15, 45, 79, 237, 395, 711, 1185, 3555
The factors of 5913 are 1, 3, 9, 27, 73, 81, 219, 657, 1971, 5913
The HCF of 3555,5913 is 9.
Lets's calculate GCF of 3555,5913
| 3 | 3555, 5913 |
| 3 | 1185, 1971 |
| 395, 657 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 3555,5913 By Matching Biggest Common Factor Method
Now, list down the factors of 3555
:1,3,5,9,15,45,79,237,395,711,1185,3555
Now, list down the factors of 5913
:1,3,9,27,73,81,219,657,1971,5913
Greatest Common Factor
We found the factors 3555,5913 . The biggest common factor number is the GCF number.
So the greatest common factor 3555,5913 is 9.
Lets's calculate LCM of 778,8576
| 2 | 778, 8576 |
| 389, 4288 |
∴ So the LCM of the given numbers is 2 x 389 x 4288 = 3336064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/3336064
Therefore, the GCF of Fractions 3555/778,5913/8576 is 9/3336064
Least Common Multiple of 778,8576 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 778,8576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(778,8576) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(778,8576) x common factors =2 x 1 = 2
LCM(778,8576) = ( 778 × 8576 ) / 2
LCM(778,8576) = 6672128 / 2
LCM(778,8576) = 3336064
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FAQs on GCF of Fractions of 3555/778, 5913/8576
1. What is the HCF of 3555,5913?
The HCF of 3555,5913 is 9
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 3555/778, 5913/8576?
Answer: GCF of Numerators as per given numbers 3555/778, 5913/8576 is
GCF of Numerators i.e. for 3555,5913 is 9
LCM of denominators i.e. for 778,8576 is 3336064.
Thus, GCF of Fractions is 9/3336064.Finally, GCF of Fractions for 3555/778, 5913/8576 is 9/3336064.