GCF of 9560/818, 5839/978
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9560/818, 5839/978 i.e 1/400002 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9560/818, 5839/978.
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 9560/818,5839/978?
Given fractions are 9560/818,5839/978
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 9560/818,5839/978, numerators are 9560,5839
Denominators are 818,978
The GCF of 9560,5839 is 1 .
LCM of 818,978 is 400002.
The greatest common factor of 9560/818,5839/978 = [GCF of 9560,5839]/[LCM of 818,978]= 1/400002
Therefore, the GCF of 9560/818,5839/978 is 1/400002.
To find the highest common factor of 9560,5839, we have to find the factors of both numbers and list the highest common factor.
The factors of 9560 are 1, 2, 4, 5, 8, 10, 20, 40, 239, 478, 956, 1195, 1912, 2390, 4780, 9560
The factors of 5839 are 1, 5839
The HCF of 9560,5839 is 1.
Lets's calculate GCF of 9560,5839
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9560,5839 By Matching Biggest Common Factor Method
Now, list down the factors of 9560
:1,2,4,5,8,10,20,40,239,478,956,1195,1912,2390,4780,9560
Now, list down the factors of 5839
:1,5839
Greatest Common Factor
We found the factors 9560,5839 . The biggest common factor number is the GCF number.
So the greatest common factor 9560,5839 is 1.
Lets's calculate LCM of 818,978
| 2 | 818, 978 |
| 409, 489 |
∴ So the LCM of the given numbers is 2 x 409 x 489 = 400002
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/400002
Therefore, the GCF of Fractions 9560/818,5839/978 is 1/400002
Least Common Multiple of 818,978 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 818,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(818,978) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(818,978) x common factors =2 x 1 = 2
LCM(818,978) = ( 818 × 978 ) / 2
LCM(818,978) = 800004 / 2
LCM(818,978) = 400002
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9560/818, 5839/978
1. What is the HCF of 9560,5839?
The HCF of 9560,5839 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 9560/818, 5839/978?
Answer: GCF of Numerators as per given numbers 9560/818, 5839/978 is
GCF of Numerators i.e. for 9560,5839 is 1
LCM of denominators i.e. for 818,978 is 400002.
Thus, GCF of Fractions is 1/400002.Finally, GCF of Fractions for 9560/818, 5839/978 is 1/400002.