GCF of 4926/939, 9699/531
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4926/939, 9699/531 i.e 3/166203 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4926/939, 9699/531.
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 4926/939,9699/531?
Given fractions are 4926/939,9699/531
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 4926/939,9699/531, numerators are 4926,9699
Denominators are 939,531
The GCF of 4926,9699 is 3 .
LCM of 939,531 is 166203.
The greatest common factor of 4926/939,9699/531 = [GCF of 4926,9699]/[LCM of 939,531]= 3/166203
Therefore, the GCF of 4926/939,9699/531 is 3/166203.
To find the highest common factor of 4926,9699, we have to find the factors of both numbers and list the highest common factor.
The factors of 4926 are 1, 2, 3, 6, 821, 1642, 2463, 4926
The factors of 9699 are 1, 3, 53, 61, 159, 183, 3233, 9699
The HCF of 4926,9699 is 3.
Lets's calculate GCF of 4926,9699
| 3 | 4926, 9699 |
| 1642, 3233 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4926,9699 By Matching Biggest Common Factor Method
Now, list down the factors of 4926
:1,2,3,6,821,1642,2463,4926
Now, list down the factors of 9699
:1,3,53,61,159,183,3233,9699
Greatest Common Factor
We found the factors 4926,9699 . The biggest common factor number is the GCF number.
So the greatest common factor 4926,9699 is 3.
Lets's calculate LCM of 939,531
| 3 | 939, 531 |
| 313, 177 |
∴ So the LCM of the given numbers is 3 x 313 x 177 = 166203
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/166203
Therefore, the GCF of Fractions 4926/939,9699/531 is 3/166203
Least Common Multiple of 939,531 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 939,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,531) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(939,531) x common factors =3 x 1 = 3
LCM(939,531) = ( 939 × 531 ) / 3
LCM(939,531) = 498609 / 3
LCM(939,531) = 166203
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FAQs on GCF of Fractions of 4926/939, 9699/531
1. What is the HCF of 4926,9699?
The HCF of 4926,9699 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 4926/939, 9699/531?
Answer: GCF of Numerators as per given numbers 4926/939, 9699/531 is
GCF of Numerators i.e. for 4926,9699 is 3
LCM of denominators i.e. for 939,531 is 166203.
Thus, GCF of Fractions is 3/166203.Finally, GCF of Fractions for 4926/939, 9699/531 is 3/166203.