GCF of 8055/750, 7188/2376
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8055/750, 7188/2376 i.e 3/297000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8055/750, 7188/2376.
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 8055/750,7188/2376?
Given fractions are 8055/750,7188/2376
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 8055/750,7188/2376, numerators are 8055,7188
Denominators are 750,2376
The GCF of 8055,7188 is 3 .
LCM of 750,2376 is 297000.
The greatest common factor of 8055/750,7188/2376 = [GCF of 8055,7188]/[LCM of 750,2376]= 3/297000
Therefore, the GCF of 8055/750,7188/2376 is 3/297000.
To find the highest common factor of 8055,7188, we have to find the factors of both numbers and list the highest common factor.
The factors of 8055 are 1, 3, 5, 9, 15, 45, 179, 537, 895, 1611, 2685, 8055
The factors of 7188 are 1, 2, 3, 4, 6, 12, 599, 1198, 1797, 2396, 3594, 7188
The HCF of 8055,7188 is 3.
Lets's calculate GCF of 8055,7188
| 3 | 8055, 7188 |
| 2685, 2396 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8055,7188 By Matching Biggest Common Factor Method
Now, list down the factors of 8055
:1,3,5,9,15,45,179,537,895,1611,2685,8055
Now, list down the factors of 7188
:1,2,3,4,6,12,599,1198,1797,2396,3594,7188
Greatest Common Factor
We found the factors 8055,7188 . The biggest common factor number is the GCF number.
So the greatest common factor 8055,7188 is 3.
Lets's calculate LCM of 750,2376
| 2 | 750, 2376 |
| 3 | 375, 1188 |
| 125, 396 |
∴ So the LCM of the given numbers is 2 x 3 x 125 x 396 = 297000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/297000
Therefore, the GCF of Fractions 8055/750,7188/2376 is 3/297000
Least Common Multiple of 750,2376 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 750,2376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,2376) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(750,2376) x common factors =6 x 1 = 6
LCM(750,2376) = ( 750 × 2376 ) / 6
LCM(750,2376) = 1782000 / 6
LCM(750,2376) = 297000
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FAQs on GCF of Fractions of 8055/750, 7188/2376
1. What is the HCF of 8055,7188?
The HCF of 8055,7188 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 8055/750, 7188/2376?
Answer: GCF of Numerators as per given numbers 8055/750, 7188/2376 is
GCF of Numerators i.e. for 8055,7188 is 3
LCM of denominators i.e. for 750,2376 is 297000.
Thus, GCF of Fractions is 3/297000.Finally, GCF of Fractions for 8055/750, 7188/2376 is 3/297000.