GCF of 5778/794, 6075/5268
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5778/794, 6075/5268 i.e 27/2091396 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5778/794, 6075/5268.
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 5778/794,6075/5268?
Given fractions are 5778/794,6075/5268
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 5778/794,6075/5268, numerators are 5778,6075
Denominators are 794,5268
The GCF of 5778,6075 is 27 .
LCM of 794,5268 is 2091396.
The greatest common factor of 5778/794,6075/5268 = [GCF of 5778,6075]/[LCM of 794,5268]= 27/2091396
Therefore, the GCF of 5778/794,6075/5268 is 27/2091396.
To find the highest common factor of 5778,6075, we have to find the factors of both numbers and list the highest common factor.
The factors of 5778 are 1, 2, 3, 6, 9, 18, 27, 54, 107, 214, 321, 642, 963, 1926, 2889, 5778
The factors of 6075 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 135, 225, 243, 405, 675, 1215, 2025, 6075
The HCF of 5778,6075 is 27.
Lets's calculate GCF of 5778,6075
| 3 | 5778, 6075 |
| 3 | 1926, 2025 |
| 3 | 642, 675 |
| 214, 225 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 5778,6075 By Matching Biggest Common Factor Method
Now, list down the factors of 5778
:1,2,3,6,9,18,27,54,107,214,321,642,963,1926,2889,5778
Now, list down the factors of 6075
:1,3,5,9,15,25,27,45,75,81,135,225,243,405,675,1215,2025,6075
Greatest Common Factor
We found the factors 5778,6075 . The biggest common factor number is the GCF number.
So the greatest common factor 5778,6075 is 27.
Lets's calculate LCM of 794,5268
| 2 | 794, 5268 |
| 397, 2634 |
∴ So the LCM of the given numbers is 2 x 397 x 2634 = 2091396
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/2091396
Therefore, the GCF of Fractions 5778/794,6075/5268 is 27/2091396
Least Common Multiple of 794,5268 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 794,5268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(794,5268) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(794,5268) x common factors =2 x 1 = 2
LCM(794,5268) = ( 794 × 5268 ) / 2
LCM(794,5268) = 4182792 / 2
LCM(794,5268) = 2091396
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FAQs on GCF of Fractions of 5778/794, 6075/5268
1. What is the HCF of 5778,6075?
The HCF of 5778,6075 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 5778/794, 6075/5268?
Answer: GCF of Numerators as per given numbers 5778/794, 6075/5268 is
GCF of Numerators i.e. for 5778,6075 is 27
LCM of denominators i.e. for 794,5268 is 2091396.
Thus, GCF of Fractions is 27/2091396.Finally, GCF of Fractions for 5778/794, 6075/5268 is 27/2091396.