GCF of 2965/384, 9463/130
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2965/384, 9463/130 i.e 1/24960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2965/384, 9463/130.
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 2965/384,9463/130?
Given fractions are 2965/384,9463/130
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 2965/384,9463/130, numerators are 2965,9463
Denominators are 384,130
The GCF of 2965,9463 is 1 .
LCM of 384,130 is 24960.
The greatest common factor of 2965/384,9463/130 = [GCF of 2965,9463]/[LCM of 384,130]= 1/24960
Therefore, the GCF of 2965/384,9463/130 is 1/24960.
To find the highest common factor of 2965,9463, we have to find the factors of both numbers and list the highest common factor.
The factors of 2965 are 1, 5, 593, 2965
The factors of 9463 are 1, 9463
The HCF of 2965,9463 is 1.
Lets's calculate GCF of 2965,9463
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2965,9463 By Matching Biggest Common Factor Method
Now, list down the factors of 2965
:1,5,593,2965
Now, list down the factors of 9463
:1,9463
Greatest Common Factor
We found the factors 2965,9463 . The biggest common factor number is the GCF number.
So the greatest common factor 2965,9463 is 1.
Lets's calculate LCM of 384,130
| 2 | 384, 130 |
| 192, 65 |
∴ So the LCM of the given numbers is 2 x 192 x 65 = 24960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24960
Therefore, the GCF of Fractions 2965/384,9463/130 is 1/24960
Least Common Multiple of 384,130 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 384,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,130) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(384,130) x common factors =2 x 1 = 2
LCM(384,130) = ( 384 × 130 ) / 2
LCM(384,130) = 49920 / 2
LCM(384,130) = 24960
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FAQs on GCF of Fractions of 2965/384, 9463/130
1. What is the HCF of 2965,9463?
The HCF of 2965,9463 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 2965/384, 9463/130?
Answer: GCF of Numerators as per given numbers 2965/384, 9463/130 is
GCF of Numerators i.e. for 2965,9463 is 1
LCM of denominators i.e. for 384,130 is 24960.
Thus, GCF of Fractions is 1/24960.Finally, GCF of Fractions for 2965/384, 9463/130 is 1/24960.