GCF of 9833/343, 3786/735
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9833/343, 3786/735 i.e 1/5145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9833/343, 3786/735.
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 9833/343,3786/735?
Given fractions are 9833/343,3786/735
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 9833/343,3786/735, numerators are 9833,3786
Denominators are 343,735
The GCF of 9833,3786 is 1 .
LCM of 343,735 is 5145.
The greatest common factor of 9833/343,3786/735 = [GCF of 9833,3786]/[LCM of 343,735]= 1/5145
Therefore, the GCF of 9833/343,3786/735 is 1/5145.
To find the highest common factor of 9833,3786, we have to find the factors of both numbers and list the highest common factor.
The factors of 9833 are 1, 9833
The factors of 3786 are 1, 2, 3, 6, 631, 1262, 1893, 3786
The HCF of 9833,3786 is 1.
Lets's calculate GCF of 9833,3786
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9833,3786 By Matching Biggest Common Factor Method
Now, list down the factors of 9833
:1,9833
Now, list down the factors of 3786
:1,2,3,6,631,1262,1893,3786
Greatest Common Factor
We found the factors 9833,3786 . The biggest common factor number is the GCF number.
So the greatest common factor 9833,3786 is 1.
Lets's calculate LCM of 343,735
| 7 | 343, 735 |
| 7 | 49, 105 |
| 7, 15 |
∴ So the LCM of the given numbers is 7 x 7 x 7 x 15 = 5145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5145
Therefore, the GCF of Fractions 9833/343,3786/735 is 1/5145
Least Common Multiple of 343,735 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 343,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,735) = 49
common factors(in case of two or more numbers have common factors) = 1
GCF(343,735) x common factors =49 x 1 = 49
LCM(343,735) = ( 343 × 735 ) / 49
LCM(343,735) = 252105 / 49
LCM(343,735) = 5145
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FAQs on GCF of Fractions of 9833/343, 3786/735
1. What is the HCF of 9833,3786?
The HCF of 9833,3786 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 9833/343, 3786/735?
Answer: GCF of Numerators as per given numbers 9833/343, 3786/735 is
GCF of Numerators i.e. for 9833,3786 is 1
LCM of denominators i.e. for 343,735 is 5145.
Thus, GCF of Fractions is 1/5145.Finally, GCF of Fractions for 9833/343, 3786/735 is 1/5145.