GCF of 3058/416, 9494/2992
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3058/416, 9494/2992 i.e 2/77792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3058/416, 9494/2992.
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 3058/416,9494/2992?
Given fractions are 3058/416,9494/2992
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 3058/416,9494/2992, numerators are 3058,9494
Denominators are 416,2992
The GCF of 3058,9494 is 2 .
LCM of 416,2992 is 77792.
The greatest common factor of 3058/416,9494/2992 = [GCF of 3058,9494]/[LCM of 416,2992]= 2/77792
Therefore, the GCF of 3058/416,9494/2992 is 2/77792.
To find the highest common factor of 3058,9494, 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 9494 are 1, 2, 47, 94, 101, 202, 4747, 9494
The HCF of 3058,9494 is 2.
Lets's calculate GCF of 3058,9494
| 2 | 3058, 9494 |
| 1529, 4747 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3058,9494 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 9494
:1,2,47,94,101,202,4747,9494
Greatest Common Factor
We found the factors 3058,9494 . The biggest common factor number is the GCF number.
So the greatest common factor 3058,9494 is 2.
Lets's calculate LCM of 416,2992
| 2 | 416, 2992 |
| 2 | 208, 1496 |
| 2 | 104, 748 |
| 2 | 52, 374 |
| 26, 187 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 26 x 187 = 77792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/77792
Therefore, the GCF of Fractions 3058/416,9494/2992 is 2/77792
Least Common Multiple of 416,2992 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 416,2992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,2992) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(416,2992) x common factors =16 x 1 = 16
LCM(416,2992) = ( 416 × 2992 ) / 16
LCM(416,2992) = 1244672 / 16
LCM(416,2992) = 77792
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FAQs on GCF of Fractions of 3058/416, 9494/2992
1. What is the HCF of 3058,9494?
The HCF of 3058,9494 is 2
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 3058/416, 9494/2992?
Answer: GCF of Numerators as per given numbers 3058/416, 9494/2992 is
GCF of Numerators i.e. for 3058,9494 is 2
LCM of denominators i.e. for 416,2992 is 77792.
Thus, GCF of Fractions is 2/77792.Finally, GCF of Fractions for 3058/416, 9494/2992 is 2/77792.