GCF of 7820/972, 9365/9864
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7820/972, 9365/9864 i.e 5/266328 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7820/972, 9365/9864.
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 7820/972,9365/9864?
Given fractions are 7820/972,9365/9864
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 7820/972,9365/9864, numerators are 7820,9365
Denominators are 972,9864
The GCF of 7820,9365 is 5 .
LCM of 972,9864 is 266328.
The greatest common factor of 7820/972,9365/9864 = [GCF of 7820,9365]/[LCM of 972,9864]= 5/266328
Therefore, the GCF of 7820/972,9365/9864 is 5/266328.
To find the highest common factor of 7820,9365, we have to find the factors of both numbers and list the highest common factor.
The factors of 7820 are 1, 2, 4, 5, 10, 17, 20, 23, 34, 46, 68, 85, 92, 115, 170, 230, 340, 391, 460, 782, 1564, 1955, 3910, 7820
The factors of 9365 are 1, 5, 1873, 9365
The HCF of 7820,9365 is 5.
Lets's calculate GCF of 7820,9365
| 5 | 7820, 9365 |
| 1564, 1873 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7820,9365 By Matching Biggest Common Factor Method
Now, list down the factors of 7820
:1,2,4,5,10,17,20,23,34,46,68,85,92,115,170,230,340,391,460,782,1564,1955,3910,7820
Now, list down the factors of 9365
:1,5,1873,9365
Greatest Common Factor
We found the factors 7820,9365 . The biggest common factor number is the GCF number.
So the greatest common factor 7820,9365 is 5.
Lets's calculate LCM of 972,9864
| 2 | 972, 9864 |
| 2 | 486, 4932 |
| 3 | 243, 2466 |
| 3 | 81, 822 |
| 27, 274 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 27 x 274 = 266328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/266328
Therefore, the GCF of Fractions 7820/972,9365/9864 is 5/266328
Least Common Multiple of 972,9864 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 972,9864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,9864) = 36
common factors(in case of two or more numbers have common factors) = 1
GCF(972,9864) x common factors =36 x 1 = 36
LCM(972,9864) = ( 972 × 9864 ) / 36
LCM(972,9864) = 9587808 / 36
LCM(972,9864) = 266328
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7820/972, 9365/9864
1. What is the HCF of 7820,9365?
The HCF of 7820,9365 is 5
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 7820/972, 9365/9864?
Answer: GCF of Numerators as per given numbers 7820/972, 9365/9864 is
GCF of Numerators i.e. for 7820,9365 is 5
LCM of denominators i.e. for 972,9864 is 266328.
Thus, GCF of Fractions is 5/266328.Finally, GCF of Fractions for 7820/972, 9365/9864 is 5/266328.