GCF of 5719/582, 8772/8790
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5719/582, 8772/8790 i.e 43/852630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5719/582, 8772/8790.
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 5719/582,8772/8790?
Given fractions are 5719/582,8772/8790
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 5719/582,8772/8790, numerators are 5719,8772
Denominators are 582,8790
The GCF of 5719,8772 is 43 .
LCM of 582,8790 is 852630.
The greatest common factor of 5719/582,8772/8790 = [GCF of 5719,8772]/[LCM of 582,8790]= 43/852630
Therefore, the GCF of 5719/582,8772/8790 is 43/852630.
To find the highest common factor of 5719,8772, we have to find the factors of both numbers and list the highest common factor.
The factors of 5719 are 1, 7, 19, 43, 133, 301, 817, 5719
The factors of 8772 are 1, 2, 3, 4, 6, 12, 17, 34, 43, 51, 68, 86, 102, 129, 172, 204, 258, 516, 731, 1462, 2193, 2924, 4386, 8772
The HCF of 5719,8772 is 43.
Lets's calculate GCF of 5719,8772
| 43 | 5719, 8772 |
| 133, 204 |
∴ So the GCF of the given numbers is 43 = 43
Greatest Common Factor of 5719,8772 By Matching Biggest Common Factor Method
Now, list down the factors of 5719
:1,7,19,43,133,301,817,5719
Now, list down the factors of 8772
:1,2,3,4,6,12,17,34,43,51,68,86,102,129,172,204,258,516,731,1462,2193,2924,4386,8772
Greatest Common Factor
We found the factors 5719,8772 . The biggest common factor number is the GCF number.
So the greatest common factor 5719,8772 is 43.
Lets's calculate LCM of 582,8790
| 2 | 582, 8790 |
| 3 | 291, 4395 |
| 97, 1465 |
∴ So the LCM of the given numbers is 2 x 3 x 97 x 1465 = 852630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/852630
Therefore, the GCF of Fractions 5719/582,8772/8790 is 43/852630
Least Common Multiple of 582,8790 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 582,8790 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(582,8790) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(582,8790) x common factors =6 x 1 = 6
LCM(582,8790) = ( 582 × 8790 ) / 6
LCM(582,8790) = 5115780 / 6
LCM(582,8790) = 852630
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FAQs on GCF of Fractions of 5719/582, 8772/8790
1. What is the HCF of 5719,8772?
The HCF of 5719,8772 is 43
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 5719/582, 8772/8790?
Answer: GCF of Numerators as per given numbers 5719/582, 8772/8790 is
GCF of Numerators i.e. for 5719,8772 is 43
LCM of denominators i.e. for 582,8790 is 852630.
Thus, GCF of Fractions is 43/852630.Finally, GCF of Fractions for 5719/582, 8772/8790 is 43/852630.