GCF of 4990/578, 9760/3309
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4990/578, 9760/3309 i.e 10/1912602 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4990/578, 9760/3309.
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 4990/578,9760/3309?
Given fractions are 4990/578,9760/3309
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 4990/578,9760/3309, numerators are 4990,9760
Denominators are 578,3309
The GCF of 4990,9760 is 10 .
LCM of 578,3309 is 1912602.
The greatest common factor of 4990/578,9760/3309 = [GCF of 4990,9760]/[LCM of 578,3309]= 10/1912602
Therefore, the GCF of 4990/578,9760/3309 is 10/1912602.
To find the highest common factor of 4990,9760, we have to find the factors of both numbers and list the highest common factor.
The factors of 4990 are 1, 2, 5, 10, 499, 998, 2495, 4990
The factors of 9760 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 61, 80, 122, 160, 244, 305, 488, 610, 976, 1220, 1952, 2440, 4880, 9760
The HCF of 4990,9760 is 10.
Lets's calculate GCF of 4990,9760
| 2 | 4990, 9760 |
| 5 | 2495, 4880 |
| 499, 976 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 4990,9760 By Matching Biggest Common Factor Method
Now, list down the factors of 4990
:1,2,5,10,499,998,2495,4990
Now, list down the factors of 9760
:1,2,4,5,8,10,16,20,32,40,61,80,122,160,244,305,488,610,976,1220,1952,2440,4880,9760
Greatest Common Factor
We found the factors 4990,9760 . The biggest common factor number is the GCF number.
So the greatest common factor 4990,9760 is 10.
Lets's calculate LCM of 578,3309
Given numbers has no common factors except 1. So, there LCM is their product i.e 1912602
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1912602
Therefore, the GCF of Fractions 4990/578,9760/3309 is 10/1912602
Least Common Multiple of 578,3309 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 578,3309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(578,3309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(578,3309) x common factors =1 x 1 = 1
LCM(578,3309) = ( 578 × 3309 ) / 1
LCM(578,3309) = 1912602 / 1
LCM(578,3309) = 1912602
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4990/578, 9760/3309
1. What is the HCF of 4990,9760?
The HCF of 4990,9760 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 4990/578, 9760/3309?
Answer: GCF of Numerators as per given numbers 4990/578, 9760/3309 is
GCF of Numerators i.e. for 4990,9760 is 10
LCM of denominators i.e. for 578,3309 is 1912602.
Thus, GCF of Fractions is 10/1912602.Finally, GCF of Fractions for 4990/578, 9760/3309 is 10/1912602.