GCF of 9943/500, 9756/3728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9943/500, 9756/3728 i.e 1/466000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9943/500, 9756/3728.
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 9943/500,9756/3728?
Given fractions are 9943/500,9756/3728
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 9943/500,9756/3728, numerators are 9943,9756
Denominators are 500,3728
The GCF of 9943,9756 is 1 .
LCM of 500,3728 is 466000.
The greatest common factor of 9943/500,9756/3728 = [GCF of 9943,9756]/[LCM of 500,3728]= 1/466000
Therefore, the GCF of 9943/500,9756/3728 is 1/466000.
To find the highest common factor of 9943,9756, we have to find the factors of both numbers and list the highest common factor.
The factors of 9943 are 1, 61, 163, 9943
The factors of 9756 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 271, 542, 813, 1084, 1626, 2439, 3252, 4878, 9756
The HCF of 9943,9756 is 1.
Lets's calculate GCF of 9943,9756
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9943,9756 By Matching Biggest Common Factor Method
Now, list down the factors of 9943
:1,61,163,9943
Now, list down the factors of 9756
:1,2,3,4,6,9,12,18,36,271,542,813,1084,1626,2439,3252,4878,9756
Greatest Common Factor
We found the factors 9943,9756 . The biggest common factor number is the GCF number.
So the greatest common factor 9943,9756 is 1.
Lets's calculate LCM of 500,3728
| 2 | 500, 3728 |
| 2 | 250, 1864 |
| 125, 932 |
∴ So the LCM of the given numbers is 2 x 2 x 125 x 932 = 466000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/466000
Therefore, the GCF of Fractions 9943/500,9756/3728 is 1/466000
Least Common Multiple of 500,3728 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 500,3728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,3728) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(500,3728) x common factors =4 x 1 = 4
LCM(500,3728) = ( 500 × 3728 ) / 4
LCM(500,3728) = 1864000 / 4
LCM(500,3728) = 466000
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FAQs on GCF of Fractions of 9943/500, 9756/3728
1. What is the HCF of 9943,9756?
The HCF of 9943,9756 is 1
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 9943/500, 9756/3728?
Answer: GCF of Numerators as per given numbers 9943/500, 9756/3728 is
GCF of Numerators i.e. for 9943,9756 is 1
LCM of denominators i.e. for 500,3728 is 466000.
Thus, GCF of Fractions is 1/466000.Finally, GCF of Fractions for 9943/500, 9756/3728 is 1/466000.