GCF of 9753/242, 5640/6910
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9753/242, 5640/6910 i.e 3/836110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9753/242, 5640/6910.
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 9753/242,5640/6910?
Given fractions are 9753/242,5640/6910
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 9753/242,5640/6910, numerators are 9753,5640
Denominators are 242,6910
The GCF of 9753,5640 is 3 .
LCM of 242,6910 is 836110.
The greatest common factor of 9753/242,5640/6910 = [GCF of 9753,5640]/[LCM of 242,6910]= 3/836110
Therefore, the GCF of 9753/242,5640/6910 is 3/836110.
To find the highest common factor of 9753,5640, we have to find the factors of both numbers and list the highest common factor.
The factors of 9753 are 1, 3, 3251, 9753
The factors of 5640 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 47, 60, 94, 120, 141, 188, 235, 282, 376, 470, 564, 705, 940, 1128, 1410, 1880, 2820, 5640
The HCF of 9753,5640 is 3.
Lets's calculate GCF of 9753,5640
| 3 | 9753, 5640 |
| 3251, 1880 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9753,5640 By Matching Biggest Common Factor Method
Now, list down the factors of 9753
:1,3,3251,9753
Now, list down the factors of 5640
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,47,60,94,120,141,188,235,282,376,470,564,705,940,1128,1410,1880,2820,5640
Greatest Common Factor
We found the factors 9753,5640 . The biggest common factor number is the GCF number.
So the greatest common factor 9753,5640 is 3.
Lets's calculate LCM of 242,6910
| 2 | 242, 6910 |
| 121, 3455 |
∴ So the LCM of the given numbers is 2 x 121 x 3455 = 836110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/836110
Therefore, the GCF of Fractions 9753/242,5640/6910 is 3/836110
Least Common Multiple of 242,6910 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 242,6910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(242,6910) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(242,6910) x common factors =2 x 1 = 2
LCM(242,6910) = ( 242 × 6910 ) / 2
LCM(242,6910) = 1672220 / 2
LCM(242,6910) = 836110
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9753/242, 5640/6910
1. What is the HCF of 9753,5640?
The HCF of 9753,5640 is 3
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 9753/242, 5640/6910?
Answer: GCF of Numerators as per given numbers 9753/242, 5640/6910 is
GCF of Numerators i.e. for 9753,5640 is 3
LCM of denominators i.e. for 242,6910 is 836110.
Thus, GCF of Fractions is 3/836110.Finally, GCF of Fractions for 9753/242, 5640/6910 is 3/836110.