GCF of 2966/306, 2431/9568
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2966/306, 2431/9568 i.e 1/1463904 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2966/306, 2431/9568.
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 2966/306,2431/9568?
Given fractions are 2966/306,2431/9568
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 2966/306,2431/9568, numerators are 2966,2431
Denominators are 306,9568
The GCF of 2966,2431 is 1 .
LCM of 306,9568 is 1463904.
The greatest common factor of 2966/306,2431/9568 = [GCF of 2966,2431]/[LCM of 306,9568]= 1/1463904
Therefore, the GCF of 2966/306,2431/9568 is 1/1463904.
To find the highest common factor of 2966,2431, we have to find the factors of both numbers and list the highest common factor.
The factors of 2966 are 1, 2, 1483, 2966
The factors of 2431 are 1, 11, 13, 17, 143, 187, 221, 2431
The HCF of 2966,2431 is 1.
Lets's calculate GCF of 2966,2431
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2966,2431 By Matching Biggest Common Factor Method
Now, list down the factors of 2966
:1,2,1483,2966
Now, list down the factors of 2431
:1,11,13,17,143,187,221,2431
Greatest Common Factor
We found the factors 2966,2431 . The biggest common factor number is the GCF number.
So the greatest common factor 2966,2431 is 1.
Lets's calculate LCM of 306,9568
| 2 | 306, 9568 |
| 153, 4784 |
∴ So the LCM of the given numbers is 2 x 153 x 4784 = 1463904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1463904
Therefore, the GCF of Fractions 2966/306,2431/9568 is 1/1463904
Least Common Multiple of 306,9568 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 306,9568 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,9568) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(306,9568) x common factors =2 x 1 = 2
LCM(306,9568) = ( 306 × 9568 ) / 2
LCM(306,9568) = 2927808 / 2
LCM(306,9568) = 1463904
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FAQs on GCF of Fractions of 2966/306, 2431/9568
1. What is the HCF of 2966,2431?
The HCF of 2966,2431 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 2966/306, 2431/9568?
Answer: GCF of Numerators as per given numbers 2966/306, 2431/9568 is
GCF of Numerators i.e. for 2966,2431 is 1
LCM of denominators i.e. for 306,9568 is 1463904.
Thus, GCF of Fractions is 1/1463904.Finally, GCF of Fractions for 2966/306, 2431/9568 is 1/1463904.