GCF of 3058/960, 5965/9494
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3058/960, 5965/9494 i.e 1/4557120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3058/960, 5965/9494.
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 3058/960,5965/9494?
Given fractions are 3058/960,5965/9494
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 3058/960,5965/9494, numerators are 3058,5965
Denominators are 960,9494
The GCF of 3058,5965 is 1 .
LCM of 960,9494 is 4557120.
The greatest common factor of 3058/960,5965/9494 = [GCF of 3058,5965]/[LCM of 960,9494]= 1/4557120
Therefore, the GCF of 3058/960,5965/9494 is 1/4557120.
To find the highest common factor of 3058,5965, we have to find the factors of both numbers and list the highest common factor.
The factors of 3058 are 1, 2, 11, 22, 139, 278, 1529, 3058
The factors of 5965 are 1, 5, 1193, 5965
The HCF of 3058,5965 is 1.
Lets's calculate GCF of 3058,5965
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3058,5965 By Matching Biggest Common Factor Method
Now, list down the factors of 3058
:1,2,11,22,139,278,1529,3058
Now, list down the factors of 5965
:1,5,1193,5965
Greatest Common Factor
We found the factors 3058,5965 . The biggest common factor number is the GCF number.
So the greatest common factor 3058,5965 is 1.
Lets's calculate LCM of 960,9494
| 2 | 960, 9494 |
| 480, 4747 |
∴ So the LCM of the given numbers is 2 x 480 x 4747 = 4557120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4557120
Therefore, the GCF of Fractions 3058/960,5965/9494 is 1/4557120
Least Common Multiple of 960,9494 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 960,9494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,9494) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(960,9494) x common factors =2 x 1 = 2
LCM(960,9494) = ( 960 × 9494 ) / 2
LCM(960,9494) = 9114240 / 2
LCM(960,9494) = 4557120
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FAQs on GCF of Fractions of 3058/960, 5965/9494
1. What is the HCF of 3058,5965?
The HCF of 3058,5965 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 3058/960, 5965/9494?
Answer: GCF of Numerators as per given numbers 3058/960, 5965/9494 is
GCF of Numerators i.e. for 3058,5965 is 1
LCM of denominators i.e. for 960,9494 is 4557120.
Thus, GCF of Fractions is 1/4557120.Finally, GCF of Fractions for 3058/960, 5965/9494 is 1/4557120.