GCF of 5330/789, 5960/9231
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5330/789, 5960/9231 i.e 10/2427753 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5330/789, 5960/9231.
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 5330/789,5960/9231?
Given fractions are 5330/789,5960/9231
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 5330/789,5960/9231, numerators are 5330,5960
Denominators are 789,9231
The GCF of 5330,5960 is 10 .
LCM of 789,9231 is 2427753.
The greatest common factor of 5330/789,5960/9231 = [GCF of 5330,5960]/[LCM of 789,9231]= 10/2427753
Therefore, the GCF of 5330/789,5960/9231 is 10/2427753.
To find the highest common factor of 5330,5960, we have to find the factors of both numbers and list the highest common factor.
The factors of 5330 are 1, 2, 5, 10, 13, 26, 41, 65, 82, 130, 205, 410, 533, 1066, 2665, 5330
The factors of 5960 are 1, 2, 4, 5, 8, 10, 20, 40, 149, 298, 596, 745, 1192, 1490, 2980, 5960
The HCF of 5330,5960 is 10.
Lets's calculate GCF of 5330,5960
| 2 | 5330, 5960 |
| 5 | 2665, 2980 |
| 533, 596 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 5330,5960 By Matching Biggest Common Factor Method
Now, list down the factors of 5330
:1,2,5,10,13,26,41,65,82,130,205,410,533,1066,2665,5330
Now, list down the factors of 5960
:1,2,4,5,8,10,20,40,149,298,596,745,1192,1490,2980,5960
Greatest Common Factor
We found the factors 5330,5960 . The biggest common factor number is the GCF number.
So the greatest common factor 5330,5960 is 10.
Lets's calculate LCM of 789,9231
| 3 | 789, 9231 |
| 263, 3077 |
∴ So the LCM of the given numbers is 3 x 263 x 3077 = 2427753
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2427753
Therefore, the GCF of Fractions 5330/789,5960/9231 is 10/2427753
Least Common Multiple of 789,9231 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 789,9231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(789,9231) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(789,9231) x common factors =3 x 1 = 3
LCM(789,9231) = ( 789 × 9231 ) / 3
LCM(789,9231) = 7283259 / 3
LCM(789,9231) = 2427753
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FAQs on GCF of Fractions of 5330/789, 5960/9231
1. What is the HCF of 5330,5960?
The HCF of 5330,5960 is 10
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 5330/789, 5960/9231?
Answer: GCF of Numerators as per given numbers 5330/789, 5960/9231 is
GCF of Numerators i.e. for 5330,5960 is 10
LCM of denominators i.e. for 789,9231 is 2427753.
Thus, GCF of Fractions is 10/2427753.Finally, GCF of Fractions for 5330/789, 5960/9231 is 10/2427753.