GCF of 2050/488, 8540/9732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2050/488, 8540/9732 i.e 10/1187304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2050/488, 8540/9732.
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 2050/488,8540/9732?
Given fractions are 2050/488,8540/9732
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 2050/488,8540/9732, numerators are 2050,8540
Denominators are 488,9732
The GCF of 2050,8540 is 10 .
LCM of 488,9732 is 1187304.
The greatest common factor of 2050/488,8540/9732 = [GCF of 2050,8540]/[LCM of 488,9732]= 10/1187304
Therefore, the GCF of 2050/488,8540/9732 is 10/1187304.
To find the highest common factor of 2050,8540, we have to find the factors of both numbers and list the highest common factor.
The factors of 2050 are 1, 2, 5, 10, 25, 41, 50, 82, 205, 410, 1025, 2050
The factors of 8540 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 61, 70, 122, 140, 244, 305, 427, 610, 854, 1220, 1708, 2135, 4270, 8540
The HCF of 2050,8540 is 10.
Lets's calculate GCF of 2050,8540
| 2 | 2050, 8540 |
| 5 | 1025, 4270 |
| 205, 854 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 2050,8540 By Matching Biggest Common Factor Method
Now, list down the factors of 2050
:1,2,5,10,25,41,50,82,205,410,1025,2050
Now, list down the factors of 8540
:1,2,4,5,7,10,14,20,28,35,61,70,122,140,244,305,427,610,854,1220,1708,2135,4270,8540
Greatest Common Factor
We found the factors 2050,8540 . The biggest common factor number is the GCF number.
So the greatest common factor 2050,8540 is 10.
Lets's calculate LCM of 488,9732
| 2 | 488, 9732 |
| 2 | 244, 4866 |
| 122, 2433 |
∴ So the LCM of the given numbers is 2 x 2 x 122 x 2433 = 1187304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1187304
Therefore, the GCF of Fractions 2050/488,8540/9732 is 10/1187304
Least Common Multiple of 488,9732 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 488,9732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(488,9732) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(488,9732) x common factors =4 x 1 = 4
LCM(488,9732) = ( 488 × 9732 ) / 4
LCM(488,9732) = 4749216 / 4
LCM(488,9732) = 1187304
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2050/488, 8540/9732
1. What is the HCF of 2050,8540?
The HCF of 2050,8540 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 2050/488, 8540/9732?
Answer: GCF of Numerators as per given numbers 2050/488, 8540/9732 is
GCF of Numerators i.e. for 2050,8540 is 10
LCM of denominators i.e. for 488,9732 is 1187304.
Thus, GCF of Fractions is 10/1187304.Finally, GCF of Fractions for 2050/488, 8540/9732 is 10/1187304.