GCF of 2820/805, 7568/6509
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2820/805, 7568/6509 i.e 4/227815 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2820/805, 7568/6509.
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 2820/805,7568/6509?
Given fractions are 2820/805,7568/6509
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 2820/805,7568/6509, numerators are 2820,7568
Denominators are 805,6509
The GCF of 2820,7568 is 4 .
LCM of 805,6509 is 227815.
The greatest common factor of 2820/805,7568/6509 = [GCF of 2820,7568]/[LCM of 805,6509]= 4/227815
Therefore, the GCF of 2820/805,7568/6509 is 4/227815.
To find the highest common factor of 2820,7568, we have to find the factors of both numbers and list the highest common factor.
The factors of 2820 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 47, 60, 94, 141, 188, 235, 282, 470, 564, 705, 940, 1410, 2820
The factors of 7568 are 1, 2, 4, 8, 11, 16, 22, 43, 44, 86, 88, 172, 176, 344, 473, 688, 946, 1892, 3784, 7568
The HCF of 2820,7568 is 4.
Lets's calculate GCF of 2820,7568
| 2 | 2820, 7568 |
| 2 | 1410, 3784 |
| 705, 1892 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2820,7568 By Matching Biggest Common Factor Method
Now, list down the factors of 2820
:1,2,3,4,5,6,10,12,15,20,30,47,60,94,141,188,235,282,470,564,705,940,1410,2820
Now, list down the factors of 7568
:1,2,4,8,11,16,22,43,44,86,88,172,176,344,473,688,946,1892,3784,7568
Greatest Common Factor
We found the factors 2820,7568 . The biggest common factor number is the GCF number.
So the greatest common factor 2820,7568 is 4.
Lets's calculate LCM of 805,6509
| 23 | 805, 6509 |
| 35, 283 |
∴ So the LCM of the given numbers is 23 x 35 x 283 = 227815
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/227815
Therefore, the GCF of Fractions 2820/805,7568/6509 is 4/227815
Least Common Multiple of 805,6509 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 805,6509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(805,6509) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(805,6509) x common factors =23 x 1 = 23
LCM(805,6509) = ( 805 × 6509 ) / 23
LCM(805,6509) = 5239745 / 23
LCM(805,6509) = 227815
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FAQs on GCF of Fractions of 2820/805, 7568/6509
1. What is the HCF of 2820,7568?
The HCF of 2820,7568 is 4
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 2820/805, 7568/6509?
Answer: GCF of Numerators as per given numbers 2820/805, 7568/6509 is
GCF of Numerators i.e. for 2820,7568 is 4
LCM of denominators i.e. for 805,6509 is 227815.
Thus, GCF of Fractions is 4/227815.Finally, GCF of Fractions for 2820/805, 7568/6509 is 4/227815.