GCF of 9568/120, 8719/5780
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9568/120, 8719/5780 i.e 1/34680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9568/120, 8719/5780.
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 9568/120,8719/5780?
Given fractions are 9568/120,8719/5780
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 9568/120,8719/5780, numerators are 9568,8719
Denominators are 120,5780
The GCF of 9568,8719 is 1 .
LCM of 120,5780 is 34680.
The greatest common factor of 9568/120,8719/5780 = [GCF of 9568,8719]/[LCM of 120,5780]= 1/34680
Therefore, the GCF of 9568/120,8719/5780 is 1/34680.
To find the highest common factor of 9568,8719, we have to find the factors of both numbers and list the highest common factor.
The factors of 9568 are 1, 2, 4, 8, 13, 16, 23, 26, 32, 46, 52, 92, 104, 184, 208, 299, 368, 416, 598, 736, 1196, 2392, 4784, 9568
The factors of 8719 are 1, 8719
The HCF of 9568,8719 is 1.
Lets's calculate GCF of 9568,8719
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9568,8719 By Matching Biggest Common Factor Method
Now, list down the factors of 9568
:1,2,4,8,13,16,23,26,32,46,52,92,104,184,208,299,368,416,598,736,1196,2392,4784,9568
Now, list down the factors of 8719
:1,8719
Greatest Common Factor
We found the factors 9568,8719 . The biggest common factor number is the GCF number.
So the greatest common factor 9568,8719 is 1.
Lets's calculate LCM of 120,5780
| 2 | 120, 5780 |
| 2 | 60, 2890 |
| 5 | 30, 1445 |
| 6, 289 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 6 x 289 = 34680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34680
Therefore, the GCF of Fractions 9568/120,8719/5780 is 1/34680
Least Common Multiple of 120,5780 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 120,5780 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,5780) = 20
common factors(in case of two or more numbers have common factors) = 1
GCF(120,5780) x common factors =20 x 1 = 20
LCM(120,5780) = ( 120 × 5780 ) / 20
LCM(120,5780) = 693600 / 20
LCM(120,5780) = 34680
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FAQs on GCF of Fractions of 9568/120, 8719/5780
1. What is the HCF of 9568,8719?
The HCF of 9568,8719 is 1
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 9568/120, 8719/5780?
Answer: GCF of Numerators as per given numbers 9568/120, 8719/5780 is
GCF of Numerators i.e. for 9568,8719 is 1
LCM of denominators i.e. for 120,5780 is 34680.
Thus, GCF of Fractions is 1/34680.Finally, GCF of Fractions for 9568/120, 8719/5780 is 1/34680.