GCF of 7935/820, 2256/270
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7935/820, 2256/270 i.e 3/22140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7935/820, 2256/270.
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 7935/820,2256/270?
Given fractions are 7935/820,2256/270
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 7935/820,2256/270, numerators are 7935,2256
Denominators are 820,270
The GCF of 7935,2256 is 3 .
LCM of 820,270 is 22140.
The greatest common factor of 7935/820,2256/270 = [GCF of 7935,2256]/[LCM of 820,270]= 3/22140
Therefore, the GCF of 7935/820,2256/270 is 3/22140.
To find the highest common factor of 7935,2256, we have to find the factors of both numbers and list the highest common factor.
The factors of 7935 are 1, 3, 5, 15, 23, 69, 115, 345, 529, 1587, 2645, 7935
The factors of 2256 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 47, 48, 94, 141, 188, 282, 376, 564, 752, 1128, 2256
The HCF of 7935,2256 is 3.
Lets's calculate GCF of 7935,2256
| 3 | 7935, 2256 |
| 2645, 752 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7935,2256 By Matching Biggest Common Factor Method
Now, list down the factors of 7935
:1,3,5,15,23,69,115,345,529,1587,2645,7935
Now, list down the factors of 2256
:1,2,3,4,6,8,12,16,24,47,48,94,141,188,282,376,564,752,1128,2256
Greatest Common Factor
We found the factors 7935,2256 . The biggest common factor number is the GCF number.
So the greatest common factor 7935,2256 is 3.
Lets's calculate LCM of 820,270
| 2 | 820, 270 |
| 5 | 410, 135 |
| 82, 27 |
∴ So the LCM of the given numbers is 2 x 5 x 82 x 27 = 22140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/22140
Therefore, the GCF of Fractions 7935/820,2256/270 is 3/22140
Least Common Multiple of 820,270 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 820,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(820,270) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(820,270) x common factors =10 x 1 = 10
LCM(820,270) = ( 820 × 270 ) / 10
LCM(820,270) = 221400 / 10
LCM(820,270) = 22140
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FAQs on GCF of Fractions of 7935/820, 2256/270
1. What is the HCF of 7935,2256?
The HCF of 7935,2256 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 7935/820, 2256/270?
Answer: GCF of Numerators as per given numbers 7935/820, 2256/270 is
GCF of Numerators i.e. for 7935,2256 is 3
LCM of denominators i.e. for 820,270 is 22140.
Thus, GCF of Fractions is 3/22140.Finally, GCF of Fractions for 7935/820, 2256/270 is 3/22140.