GCF of 9724/256, 9373/6360
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9724/256, 9373/6360 i.e 13/203520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9724/256, 9373/6360.
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 9724/256,9373/6360?
Given fractions are 9724/256,9373/6360
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 9724/256,9373/6360, numerators are 9724,9373
Denominators are 256,6360
The GCF of 9724,9373 is 13 .
LCM of 256,6360 is 203520.
The greatest common factor of 9724/256,9373/6360 = [GCF of 9724,9373]/[LCM of 256,6360]= 13/203520
Therefore, the GCF of 9724/256,9373/6360 is 13/203520.
To find the highest common factor of 9724,9373, we have to find the factors of both numbers and list the highest common factor.
The factors of 9724 are 1, 2, 4, 11, 13, 17, 22, 26, 34, 44, 52, 68, 143, 187, 221, 286, 374, 442, 572, 748, 884, 2431, 4862, 9724
The factors of 9373 are 1, 7, 13, 91, 103, 721, 1339, 9373
The HCF of 9724,9373 is 13.
Lets's calculate GCF of 9724,9373
| 13 | 9724, 9373 |
| 748, 721 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 9724,9373 By Matching Biggest Common Factor Method
Now, list down the factors of 9724
:1,2,4,11,13,17,22,26,34,44,52,68,143,187,221,286,374,442,572,748,884,2431,4862,9724
Now, list down the factors of 9373
:1,7,13,91,103,721,1339,9373
Greatest Common Factor
We found the factors 9724,9373 . The biggest common factor number is the GCF number.
So the greatest common factor 9724,9373 is 13.
Lets's calculate LCM of 256,6360
| 2 | 256, 6360 |
| 2 | 128, 3180 |
| 2 | 64, 1590 |
| 32, 795 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 32 x 795 = 203520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/203520
Therefore, the GCF of Fractions 9724/256,9373/6360 is 13/203520
Least Common Multiple of 256,6360 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 256,6360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,6360) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(256,6360) x common factors =8 x 1 = 8
LCM(256,6360) = ( 256 × 6360 ) / 8
LCM(256,6360) = 1628160 / 8
LCM(256,6360) = 203520
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9724/256, 9373/6360
1. What is the HCF of 9724,9373?
The HCF of 9724,9373 is 13
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 9724/256, 9373/6360?
Answer: GCF of Numerators as per given numbers 9724/256, 9373/6360 is
GCF of Numerators i.e. for 9724,9373 is 13
LCM of denominators i.e. for 256,6360 is 203520.
Thus, GCF of Fractions is 13/203520.Finally, GCF of Fractions for 9724/256, 9373/6360 is 13/203520.