GCF of 9852/343, 9639/4590
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9852/343, 9639/4590 i.e 3/1574370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9852/343, 9639/4590.
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 9852/343,9639/4590?
Given fractions are 9852/343,9639/4590
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 9852/343,9639/4590, numerators are 9852,9639
Denominators are 343,4590
The GCF of 9852,9639 is 3 .
LCM of 343,4590 is 1574370.
The greatest common factor of 9852/343,9639/4590 = [GCF of 9852,9639]/[LCM of 343,4590]= 3/1574370
Therefore, the GCF of 9852/343,9639/4590 is 3/1574370.
To find the highest common factor of 9852,9639, we have to find the factors of both numbers and list the highest common factor.
The factors of 9852 are 1, 2, 3, 4, 6, 12, 821, 1642, 2463, 3284, 4926, 9852
The factors of 9639 are 1, 3, 7, 9, 17, 21, 27, 51, 63, 81, 119, 153, 189, 357, 459, 567, 1071, 1377, 3213, 9639
The HCF of 9852,9639 is 3.
Lets's calculate GCF of 9852,9639
| 3 | 9852, 9639 |
| 3284, 3213 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9852,9639 By Matching Biggest Common Factor Method
Now, list down the factors of 9852
:1,2,3,4,6,12,821,1642,2463,3284,4926,9852
Now, list down the factors of 9639
:1,3,7,9,17,21,27,51,63,81,119,153,189,357,459,567,1071,1377,3213,9639
Greatest Common Factor
We found the factors 9852,9639 . The biggest common factor number is the GCF number.
So the greatest common factor 9852,9639 is 3.
Lets's calculate LCM of 343,4590
Given numbers has no common factors except 1. So, there LCM is their product i.e 1574370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1574370
Therefore, the GCF of Fractions 9852/343,9639/4590 is 3/1574370
Least Common Multiple of 343,4590 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 343,4590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,4590) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(343,4590) x common factors =1 x 1 = 1
LCM(343,4590) = ( 343 × 4590 ) / 1
LCM(343,4590) = 1574370 / 1
LCM(343,4590) = 1574370
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FAQs on GCF of Fractions of 9852/343, 9639/4590
1. What is the HCF of 9852,9639?
The HCF of 9852,9639 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 9852/343, 9639/4590?
Answer: GCF of Numerators as per given numbers 9852/343, 9639/4590 is
GCF of Numerators i.e. for 9852,9639 is 3
LCM of denominators i.e. for 343,4590 is 1574370.
Thus, GCF of Fractions is 3/1574370.Finally, GCF of Fractions for 9852/343, 9639/4590 is 3/1574370.